{"id":208748,"date":"2022-07-28T09:30:00","date_gmt":"2022-07-28T04:00:00","guid":{"rendered":"https:\/\/www.aakash.ac.in\/blog\/?post_type=web-story&#038;p=208748"},"modified":"2022-09-03T19:39:28","modified_gmt":"2022-09-03T14:09:28","slug":"maths-how-to-find-the-perfect-cube-of-a-number-check-example","status":"publish","type":"web-story","link":"https:\/\/www.aakash.ac.in\/blog\/web-stories\/maths-how-to-find-the-perfect-cube-of-a-number-check-example\/","title":{"rendered":"How to Find the Perfect Cube of a Number? Check Example"},"content":{"rendered":"<p><html amp=\"\" lang=\"en\"><head><meta charSet=\"utf-8\"\/><meta name=\"viewport\" content=\"width=device-width,minimum-scale=1,initial-scale=1\"\/><script async=\"\" src=\"https:\/\/cdn.ampproject.org\/v0.js\"><\/script><script async=\"\" src=\"https:\/\/cdn.ampproject.org\/v0\/amp-story-1.0.js\" custom-element=\"amp-story\"><\/script><link href=\"https:\/\/fonts.googleapis.com\/css2?display=swap&amp;family=Roboto%3Awght%40400%3B700&amp;family=Merriweather\" rel=\"stylesheet\"\/><link href=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/07\/Perfect-Cube-Number.jpg\" rel=\"preload\" as=\"image\"\/>\n<style amp-boilerplate=\"\">body{-webkit-animation:-amp-start 8s steps(1,end) 0s 1 normal both;-moz-animation:-amp-start 8s steps(1,end) 0s 1 normal both;-ms-animation:-amp-start 8s steps(1,end) 0s 1 normal both;animation:-amp-start 8s steps(1,end) 0s 1 normal both}@-webkit-keyframes -amp-start{from{visibility:hidden}to{visibility:visible}}@-moz-keyframes -amp-start{from{visibility:hidden}to{visibility:visible}}@-ms-keyframes -amp-start{from{visibility:hidden}to{visibility:visible}}@-o-keyframes -amp-start{from{visibility:hidden}to{visibility:visible}}@keyframes -amp-start{from{visibility:hidden}to{visibility:visible}}<\/style>\n<p><noscript><\/p>\n<style amp-boilerplate=\"\">body{-webkit-animation:none;-moz-animation:none;-ms-animation:none;animation:none}<\/style>\n<p><\/noscript><\/p>\n<style amp-custom=\"\">\n              amp-story-page {\n                background-color: #131516;\n              }<\/p>\n<p>              amp-story-grid-layer {\n                overflow: visible;\n              }<\/p>\n<p>              @media (max-aspect-ratio: 9 \/ 16)  {\n                @media (min-aspect-ratio: 320 \/ 678) {\n                  amp-story-grid-layer.grid-layer {\n                    margin-top: calc((100% \/ 0.5625 - 100% \/ 0.6666666666666666) \/ 2);\n                  }\n                }\n              }<\/p>\n<p>              @media not all and (min-resolution:.001dpcm) {\n                @media {\n                  p.text-wrapper > span {\n                    font-size: calc(100% - 0.5px);\n                  }\n                }\n              }<\/p>\n<p>              .page-fullbleed-area,\n              .page-background-overlay-area {\n                position: absolute;\n                overflow: hidden;\n                width: 100%;\n                left: 0;\n                height: calc(1.1851851851851851 * 100%);\n                top: calc((1 - 1.1851851851851851) * 100% \/ 2);\n              }<\/p>\n<p>              .element-overlay-area {\n                position: absolute;\n                width: 100%;\n                height: 100%;\n                top: 0;\n                left: 0;\n              }<\/p>\n<p>              .page-safe-area {\n                overflow: visible;\n                position: absolute;\n                top: 0;\n                bottom: 0;\n                left: 0;\n                right: 0;\n                width: 100%;\n                height: calc(0.84375 * 100%);\n                margin: auto 0;\n              }<\/p>\n<p>              .mask {\n                position: absolute;\n                overflow: hidden;\n              }<\/p>\n<p>              .fill {\n                position: absolute;\n                top: 0;\n                left: 0;\n                right: 0;\n                bottom: 0;\n                margin: 0;\n              }<\/p>\n<p>              @media (prefers-reduced-motion: no-preference) {\n                .animation-wrapper {\n                  opacity: var(--initial-opacity);\n                  transform: var(--initial-transform);\n                }\n              }<\/p>\n<p>              amp-story-grid-layer.align-bottom {\n                align-content: end;\n                padding: 0;\n              }<\/p>\n<p>              .captions-area {\n                padding: 0 32px 0;\n              }<\/p>\n<p>              amp-story-captions {\n                margin-bottom: 16px;\n                text-align: center;\n              }<\/p>\n<p>              amp-story-captions span {\n                display: inline-block;\n                margin: 0;\n                padding: 6px 12px;\n                vertical-align: middle;\n                border-radius: 15px;\n                background: rgba(11, 11, 11, 0.6);\n                color: rgba(255, 255, 255, 1);\n                font-family: -apple-system, BlinkMacSystemFont, \"Segoe UI\", Roboto, Oxygen-Sans, Ubuntu, Cantarell, \"Helvetica Neue\", sans-serif;;\n                font-size: calc(4 * var(--story-page-vw));\n                line-height: 1.4;\n                word-break: break-word;\n                word-wrap: break-word;\n                overflow-wrap: break-word;\n              }\n              <\/style>\n<p><meta name=\"web-stories-replace-head-start\"\/><title>How to Find the Perfect Cube of a Number? 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5px);top:calc(74.91909% - 0px);width:calc(85.67961% + 10px);height:calc(18.28479% + 0px);opacity:1\">\n<div id=\"anim-09206382-d2c8-4a53-86d6-de566ba02bd4\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-fa5e5b4b-6d99-4a86-bd62-6516cdc88ef3\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:scale(0.3333333333333333)\">\n<div style=\"top:0;left:0;right:0;bottom:0;width:100%;height:100%;position:absolute;border-width:0px 5px 0px 5px;border-color:rgba(255,255,255,1);border-style:solid;border-radius:5.6657223796034% 5.6657223796034% 5.6657223796034% 5.6657223796034% \/ 17.699115044247787% 17.699115044247787% 17.699115044247787% 17.699115044247787%;pointer-events:initial;display:block;z-index:0;background-clip:content-box;background-color:rgba(0,0,0,0.8)\" id=\"el-aa46408b-6890-49eb-90ff-555963e8adaa\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-wrap;overflow-wrap:break-word;word-break:break-word;margin:0.1856940509915014% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.372168em;line-height:1.2;text-align:center;padding:3.9660056657223794% 5.099150141643059%;color:#000000\"><span><span style=\"color: #fff\">How to Find the Perfect Cube of a Number? Check Example<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:11.8932%;top:0;width:14.07767%;height:9.38511%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-be28a70f-079e-4458-b9ba-99ef610d8fd6\">\n<div style=\"position:absolute;width:100%;height:100.00004%;left:0%;top:-0.00002%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/08\/Aakash-Icon-Blue-PNG.png\" alt=\"Aakash Icon Blue PNG\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/08\/Aakash-Icon-Blue-PNG.png 96w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/08\/Aakash-Icon-Blue-PNG-75x75.png 75w\" sizes=\"(min-width: 1024px) 6vh, 14vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"219ba14c-35cc-4bfe-8023-f341ca7c02e1\" auto-advance-after=\"9s\"><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-7194a9c3-9c78-4f05-8c3c-3b7ea733b7b7\",\"keyframes\":{\"opacity\":[0,1]},\"delay\":0,\"duration\":1300,\"easing\":\"cubic-bezier(.3,0,.55,1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-cc68eb35-96f0-4d5e-a97b-33321e9d6ca4\",\"keyframes\":{\"transform\":[\"scale(0.3333333333333333)\",\"scale(1)\"]},\"delay\":0,\"duration\":1300,\"easing\":\"cubic-bezier(.3,0,.55,1)\",\"fill\":\"forwards\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script 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style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-fb35c0c2-fc08-4859-ae94-7ac737c1ec45\">\n<div style=\"position:absolute;width:100%;height:100%;left:0%;top:0%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/27.jpg\" alt=\"27\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/27.jpg 720w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/27-576x1024.jpg 576w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/27-169x300.jpg 169w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/27-150x267.jpg 150w\" sizes=\"(min-width: 1024px) 45vh, 100vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<div class=\"element-overlay-area\" style=\"background-image:radial-gradient(ellipse 67% 67%, rgba(0,0,0,0) 0%, rgba(0,0,0,0.7) 100%)\"><\/div>\n<\/div>\n<\/div>\n<div class=\"page-background-overlay-area\" style=\"background-image:radial-gradient(ellipse 67% 67%, rgba(0,0,0,0) 0%, rgba(0,0,0,0.7) 100%)\"><\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:11.65049%;top:8.09061%;width:77.42718%;height:21.19741%;opacity:1\">\n<div id=\"anim-7194a9c3-9c78-4f05-8c3c-3b7ea733b7b7\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-cc68eb35-96f0-4d5e-a97b-33321e9d6ca4\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:scale(0.3333333333333333)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6269592476489028% 0.6269592476489028% 0.6269592476489028% 0.6269592476489028% \/ 1.5267175572519083% 1.5267175572519083% 1.5267175572519083% 1.5267175572519083%\" id=\"el-036430e1-bdbd-4183-8a44-447955f01adc\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-wrap;overflow-wrap:break-word;word-break:break-word;margin:-0.5379310344827579% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.388350em;line-height:1.4;text-align:center;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">Any number is a perfect cube only if it is a triple product of the same number.<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:16.01942%;top:35.27508%;width:68.20388%;height:10.35599%;opacity:1\">\n<div id=\"anim-87d03a05-a8eb-4d7b-997c-2382bf7c4c42\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-80c28f88-a59c-4d47-bd70-08f097bc3c18\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:scale(0.3333333333333333)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.7117437722419928% 0.7117437722419928% 0.7117437722419928% 0.7117437722419928% \/ 3.125% 3.125% 3.125% 3.125%\" id=\"el-01d87a09-c6ab-4c35-8c68-616a689805d3\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-wrap;overflow-wrap:break-word;word-break:break-word;margin:-0.610676156583629% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.388350em;line-height:1.4;text-align:center;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">Y is a perfect cube it can be expressed as:<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:calc(19.41748% - 2px);top:calc(55.66343% - 2px);width:calc(59.95146% + 4px);height:calc(35.11327% + 4px);opacity:1\">\n<div style=\"top:0;left:0;right:0;bottom:0;width:100%;height:100%;position:absolute;border-width:2px 2px 2px 2px;border-color:rgba(255,255,255,1);border-style:solid;border-radius:10.121457489878543% 10.121457489878543% 10.121457489878543% 10.121457489878543% \/ 11.52073732718894% 11.52073732718894% 11.52073732718894% 11.52073732718894%;pointer-events:initial;display:block;z-index:0\" class=\"mask\" id=\"el-b9862415-a366-4ca2-857e-78cc97db4203\">\n<div style=\"position:absolute;width:100%;height:202.35536%;left:0%;top:-51.17768%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/perfect-cube-of-a-number-1.png\" alt=\"perfect-cube-of-a-number-1\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/perfect-cube-of-a-number-1.png 720w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/perfect-cube-of-a-number-1-576x1024.png 576w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/perfect-cube-of-a-number-1-169x300.png 169w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/perfect-cube-of-a-number-1-150x267.png 150w\" sizes=\"(min-width: 1024px) 27vh, 60vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<div class=\"element-overlay-area\" style=\"background-image:radial-gradient(ellipse 67% 67%, rgba(0,0,0,0) 40%, rgba(0,0,0,0.5) 100%)\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"63247c2f-50a7-4306-87e8-9525ba04b2cc\" auto-advance-after=\"9s\"><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script 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style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-b63e5b76-eab4-4bf7-a9c5-6cc3bdf4ba1c\">\n<div style=\"position:absolute;width:100%;height:100%;left:0%;top:0%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/4-6.jpg\" alt=\"4 (6)\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/4-6.jpg 720w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/4-6-576x1024.jpg 576w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/4-6-169x300.jpg 169w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/4-6-150x267.jpg 150w\" sizes=\"(min-width: 1024px) 45vh, 100vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<div class=\"element-overlay-area\" style=\"background-image:radial-gradient(ellipse 67% 67%, rgba(0,0,0,0) 0%, rgba(0,0,0,0.7) 100%)\"><\/div>\n<\/div>\n<\/div>\n<div class=\"page-background-overlay-area\" style=\"background-image:radial-gradient(ellipse 67% 67%, rgba(0,0,0,0) 0%, rgba(0,0,0,0.7) 100%)\"><\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:11.65049%;top:9.54693%;width:77.42718%;height:21.19741%;opacity:1\">\n<div id=\"anim-97fcef3f-24ea-4458-9809-a358f806b2e1\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-b1a60fae-e058-45dc-a022-8ea8bf0eb9fc\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:scale(0.3333333333333333)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6269592476489028% 0.6269592476489028% 0.6269592476489028% 0.6269592476489028% \/ 1.5267175572519083% 1.5267175572519083% 1.5267175572519083% 1.5267175572519083%\" id=\"el-f4476186-11b2-4059-8d17-2314184abb9b\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-wrap;overflow-wrap:break-word;word-break:break-word;margin:-0.5379310344827579% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.388350em;line-height:1.4;text-align:center;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">A number can be checked if it is a perfect cube or not by factoring it with its prime factors.<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:calc(15.04854% - 2px);top:calc(42.23301% - 2px);width:calc(68.93204% + 4px);height:calc(51.13269% + 4px);opacity:1\">\n<div style=\"top:0;left:0;right:0;bottom:0;width:100%;height:100%;position:absolute;border-width:2px 2px 2px 2px;border-color:rgba(255,255,255,1);border-style:solid;border-radius:8.80281690140845% 8.80281690140845% 8.80281690140845% 8.80281690140845% \/ 7.9113924050632916% 7.9113924050632916% 7.9113924050632916% 7.9113924050632916%;pointer-events:initial;display:block;z-index:0\" class=\"mask\" id=\"el-9d0805bd-7161-41c3-9df8-60f9e7f66966\">\n<div style=\"position:absolute;width:100%;height:159.77496%;left:0%;top:-43.36444%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/Perfect-cube-of-number-2.png\" alt=\"Perfect - cube - of - number-2\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/Perfect-cube-of-number-2.png 720w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/Perfect-cube-of-number-2-576x1024.png 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1)\"},{\"offset\":0.61,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.71,\"transform\":\"translate3d(0, -67.6635768%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.8,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.85,\"transform\":\"translate3d(0, -25.409230200000003%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.92,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.96,\"transform\":\"translate3d(0, -11.0413368%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":1,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"}],\"delay\":0,\"duration\":1300,\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#284893\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-3f6c6d02-6316-41b1-a88d-8745fef13a02\">\n<div style=\"position:absolute;width:100%;height:100%;left:0%;top:0%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/08\/Classroom-Artboard-4.jpg\" alt=\"Classroom-Artboard 4\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/08\/Classroom-Artboard-4.jpg 720w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/08\/Classroom-Artboard-4-576x1024.jpg 576w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/08\/Classroom-Artboard-4-169x300.jpg 169w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/08\/Classroom-Artboard-4-150x267.jpg 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Class<\/span><\/span><\/p>\n<p><\/a><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-page-outlink layout=\"nodisplay\" cta-image=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/08\/Aakash-Icon-Blue-PNG.png\"><a href=\"https:\/\/byjus-aakash.onelink.me\/GieR\/aakashwebstories\" rel=\"\">Download Aakash App<\/a><\/amp-story-page-outlink><\/amp-story-page><amp-story-page id=\"2e382cfe-2d3f-4e5f-828b-2fe569bdb262\" auto-advance-after=\"9s\"><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-d8194c62-cf48-4fd5-84f5-9cf14ee399a3\",\"keyframes\":{\"opacity\":[0,1]},\"delay\":0,\"duration\":1300,\"easing\":\"cubic-bezier(.3,0,.55,1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-c6ee7fb0-fe75-4fe8-97ad-04045388ecf0\",\"keyframes\":{\"transform\":[\"scale(0.3333333333333333)\",\"scale(1)\"]},\"delay\":0,\"duration\":1300,\"easing\":\"cubic-bezier(.3,0,.55,1)\",\"fill\":\"forwards\"}]<\/script><\/amp-story-animation><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#27322a\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-ca8484b5-ad1b-4194-950e-4b416612190c\">\n<div style=\"position:absolute;width:100%;height:100%;left:0%;top:0%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/5-4.jpg\" alt=\"5 (4)\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/5-4.jpg 720w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/5-4-576x1024.jpg 576w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/5-4-169x300.jpg 169w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/5-4-150x267.jpg 150w\" sizes=\"(min-width: 1024px) 45vh, 100vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<div class=\"element-overlay-area\" style=\"background-image:radial-gradient(ellipse 67% 67%, rgba(0,0,0,0) 0%, rgba(0,0,0,0.7) 100%)\"><\/div>\n<\/div>\n<\/div>\n<div class=\"page-background-overlay-area\" style=\"background-image:radial-gradient(ellipse 67% 67%, rgba(0,0,0,0) 0%, rgba(0,0,0,0.7) 100%)\"><\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:11.65049%;top:6.14887%;width:75.97087%;height:32.03883%;opacity:1\">\n<div id=\"anim-d8194c62-cf48-4fd5-84f5-9cf14ee399a3\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-c6ee7fb0-fe75-4fe8-97ad-04045388ecf0\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:scale(0.3333333333333333)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6389776357827476% 0.6389776357827476% 0.6389776357827476% 0.6389776357827476% \/ 1.0101010101010102% 1.0101010101010102% 1.0101010101010102% 1.0101010101010102%\" id=\"el-b7cd1e45-48e6-418e-8891-f96345b80d1d\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-wrap;overflow-wrap:break-word;word-break:break-word;margin:-0.5482428115015967% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.388350em;line-height:1.4;text-align:center;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">So, for any number first find all its prime factors, and group the factors in triplets such that all triplets should have three same factors.<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:calc(15.1699% - 2px);top:calc(43.85113% - 2px);width:calc(69.66019% + 4px);height:calc(43.68932% + 4px);opacity:1\">\n<div style=\"top:0;left:0;right:0;bottom:0;width:100%;height:100%;position:absolute;border-width:2px 2px 2px 2px;border-color:rgba(255,255,255,1);border-style:solid;border-radius:8.710801393728223% 8.710801393728223% 8.710801393728223% 8.710801393728223% \/ 9.25925925925926% 9.25925925925926% 9.25925925925926% 9.25925925925926%;pointer-events:initial;display:block;z-index:0\" class=\"mask\" id=\"el-f088e7b8-e499-4aa5-8c98-2a7bd985f5a6\">\n<div style=\"position:absolute;width:100%;height:188.97118%;left:0%;top:-44.48559%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/Perfect-cube-of-number-3.png\" alt=\"Perfect - cube - of - number-3\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/Perfect-cube-of-number-3.png 720w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/Perfect-cube-of-number-3-576x1024.png 576w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/Perfect-cube-of-number-3-169x300.png 169w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/Perfect-cube-of-number-3-150x267.png 150w\" sizes=\"(min-width: 1024px) 31vh, 70vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"25538196-9429-4584-9ea7-ad45967227d9\" auto-advance-after=\"9s\"><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-7bf5cbae-a174-4a0d-8550-537ead461278\",\"keyframes\":{\"opacity\":[0,1]},\"delay\":0,\"duration\":1300,\"easing\":\"cubic-bezier(.3,0,.55,1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-0bbfa4f7-a4e5-43e3-933c-2f9367811350\",\"keyframes\":{\"transform\":[\"scale(0.3333333333333333)\",\"scale(1)\"]},\"delay\":0,\"duration\":1300,\"easing\":\"cubic-bezier(.3,0,.55,1)\",\"fill\":\"forwards\"}]<\/script><\/amp-story-animation><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#63263c\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-fa40895b-49a6-45eb-a6be-7046d1aeac70\">\n<div style=\"position:absolute;width:100%;height:100%;left:0%;top:0%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/17.jpg\" alt=\"17\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/17.jpg 720w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/17-576x1024.jpg 576w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/17-169x300.jpg 169w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/17-150x267.jpg 150w\" sizes=\"(min-width: 1024px) 45vh, 100vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<div class=\"element-overlay-area\" style=\"background-image:radial-gradient(ellipse 67% 67%, rgba(0,0,0,0) 0%, rgba(0,0,0,0.7) 100%)\"><\/div>\n<\/div>\n<\/div>\n<div class=\"page-background-overlay-area\" style=\"background-image:radial-gradient(ellipse 67% 67%, rgba(0,0,0,0) 0%, rgba(0,0,0,0.7) 100%)\"><\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:10.92233%;top:9.2233%;width:77.42718%;height:21.19741%;opacity:1\">\n<div id=\"anim-7bf5cbae-a174-4a0d-8550-537ead461278\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-0bbfa4f7-a4e5-43e3-933c-2f9367811350\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:scale(0.3333333333333333)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6269592476489028% 0.6269592476489028% 0.6269592476489028% 0.6269592476489028% \/ 1.5267175572519083% 1.5267175572519083% 1.5267175572519083% 1.5267175572519083%\" id=\"el-e223c449-d9f6-4642-915d-61879f2d5c41\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-wrap;overflow-wrap:break-word;word-break:break-word;margin:-0.5379310344827579% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.388350em;line-height:1.4;text-align:center;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">If no single or double prime factor is left after grouping then the number is a perfect cube.<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:calc(11.65049% - 2px);top:calc(35.43689% - 2px);width:calc(76.21359% + 4px);height:calc(52.42718% + 4px);opacity:1\">\n<div style=\"top:0;left:0;right:0;bottom:0;width:100%;height:100%;position:absolute;border-width:2px 2px 2px 2px;border-color:rgba(255,255,255,1);border-style:solid;border-radius:6.369426751592357% 6.369426751592357% 6.369426751592357% 6.369426751592357% \/ 6.172839506172839% 6.172839506172839% 6.172839506172839% 6.172839506172839%;pointer-events:initial;display:block;z-index:0\" class=\"mask\" id=\"el-1eaaacad-44e8-462d-ba29-372fb366f3c9\">\n<div style=\"position:absolute;width:100%;height:172.29082%;left:0%;top:-27.9941%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/perfect-cube-of-a-number-4.png\" alt=\"perfect-cube-of-a-number-4\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/perfect-cube-of-a-number-4.png 720w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/perfect-cube-of-a-number-4-576x1024.png 576w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/perfect-cube-of-a-number-4-169x300.png 169w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/perfect-cube-of-a-number-4-150x267.png 150w\" sizes=\"(min-width: 1024px) 34vh, 76vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"f01c1e28-5fb8-4cc3-bf90-5f0f6065378d\" auto-advance-after=\"9s\"><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-86ec48be-1828-498b-9fd8-f99dff6b7500\",\"keyframes\":{\"opacity\":[0,1]},\"delay\":0,\"duration\":1300,\"easing\":\"cubic-bezier(.3,0,.55,1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-e93ede23-8f9c-42f7-85e4-0a538d6220ee\",\"keyframes\":{\"transform\":[\"scale(0.3333333333333333)\",\"scale(1)\"]},\"delay\":0,\"duration\":1300,\"easing\":\"cubic-bezier(.3,0,.55,1)\",\"fill\":\"forwards\"}]<\/script><\/amp-story-animation><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#253c44\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-65f89e47-bc54-4bd4-ad74-36db789b5a37\">\n<div style=\"position:absolute;width:100%;height:100%;left:0%;top:0%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/56.jpg\" alt=\"56\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/56.jpg 720w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/56-576x1024.jpg 576w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/56-169x300.jpg 169w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/56-150x267.jpg 150w\" sizes=\"(min-width: 1024px) 45vh, 100vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<div class=\"element-overlay-area\" style=\"background-image:radial-gradient(ellipse 67% 67%, rgba(0,0,0,0) 0%, rgba(0,0,0,0.7) 100%)\"><\/div>\n<\/div>\n<\/div>\n<div class=\"page-background-overlay-area\" style=\"background-image:radial-gradient(ellipse 67% 67%, rgba(0,0,0,0) 0%, rgba(0,0,0,0.7) 100%)\"><\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:10.92233%;top:9.2233%;width:77.42718%;height:21.35922%;opacity:1\">\n<div id=\"anim-86ec48be-1828-498b-9fd8-f99dff6b7500\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-e93ede23-8f9c-42f7-85e4-0a538d6220ee\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:scale(0.3333333333333333)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6269592476489028% 0.6269592476489028% 0.6269592476489028% 0.6269592476489028% \/ 1.5151515151515151% 1.5151515151515151% 1.5151515151515151% 1.5151515151515151%\" id=\"el-fb08d05a-0562-43fd-9787-57c64a588251\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-wrap;overflow-wrap:break-word;word-break:break-word;margin:-0.5379310344827579% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.388350em;line-height:1.4;text-align:center;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">For example, 343 is a perfect cube and we verify it by grouping its prime factor 7.<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:calc(11.40777% - 2px);top:calc(38.1877% - 2px);width:calc(77.42718% + 4px);height:calc(39.64401% + 4px);opacity:1\">\n<div style=\"top:0;left:0;right:0;bottom:0;width:100%;height:100%;position:absolute;border-width:2px 2px 2px 2px;border-color:rgba(255,255,255,1);border-style:solid;border-radius:7.836990595611286% 7.836990595611286% 7.836990595611286% 7.836990595611286% \/ 10.204081632653061% 10.204081632653061% 10.204081632653061% 10.204081632653061%;pointer-events:initial;display:block;z-index:0\" class=\"mask\" id=\"el-e0984302-1bc7-435e-88cc-9babd2af9657\">\n<div style=\"position:absolute;width:100%;height:231.47393%;left:0%;top:-47.05216%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/Perfect-cube-of-number-5.png\" alt=\"Perfect - cube - of - number-5\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/Perfect-cube-of-number-5.png 720w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/Perfect-cube-of-number-5-576x1024.png 576w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/Perfect-cube-of-number-5-169x300.png 169w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/Perfect-cube-of-number-5-150x267.png 150w\" sizes=\"(min-width: 1024px) 35vh, 77vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"4b492689-b595-4bb1-b4a3-cc0d567dab17\" auto-advance-after=\"9s\"><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-a9d12d2f-695d-43fd-99f7-04d3ffcb80cb\",\"keyframes\":{\"opacity\":[0,1]},\"delay\":0,\"duration\":1300,\"easing\":\"cubic-bezier(.3,0,.55,1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-2a35ea69-ecb7-4b81-b2b6-2d62a42cc122\",\"keyframes\":{\"transform\":[\"scale(0.3333333333333333)\",\"scale(1)\"]},\"delay\":0,\"duration\":1300,\"easing\":\"cubic-bezier(.3,0,.55,1)\",\"fill\":\"forwards\"}]<\/script><\/amp-story-animation><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#fbfbf9\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-0594aa9d-e0a7-4871-ab41-13b0ac16d798\">\n<div style=\"position:absolute;width:100%;height:100%;left:0%;top:0%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/44.jpg\" alt=\"44\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/44.jpg 720w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/44-576x1024.jpg 576w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/44-169x300.jpg 169w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/44-150x267.jpg 150w\" sizes=\"(min-width: 1024px) 45vh, 100vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<div class=\"element-overlay-area\" style=\"background-image:radial-gradient(ellipse 67% 67%, rgba(0,0,0,0) 0%, rgba(0,0,0,0.7) 100%)\"><\/div>\n<\/div>\n<\/div>\n<div class=\"page-background-overlay-area\" style=\"background-image:radial-gradient(ellipse 67% 67%, rgba(0,0,0,0) 0%, rgba(0,0,0,0.7) 100%)\"><\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:11.40777%;top:8.41424%;width:77.42718%;height:21.19741%;opacity:1\">\n<div id=\"anim-a9d12d2f-695d-43fd-99f7-04d3ffcb80cb\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-2a35ea69-ecb7-4b81-b2b6-2d62a42cc122\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:scale(0.3333333333333333)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6269592476489028% 0.6269592476489028% 0.6269592476489028% 0.6269592476489028% \/ 1.5267175572519083% 1.5267175572519083% 1.5267175572519083% 1.5267175572519083%\" id=\"el-7f6d7c9d-783d-4539-a620-3d81eb927869\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-wrap;overflow-wrap:break-word;word-break:break-word;margin:-0.5379310344827579% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.388350em;line-height:1.4;text-align:center;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">Suppose we are asked to find if 500 is a perfect cube or not, we factorize it using its prime factors.<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:calc(11.28641% - 2px);top:calc(35.59871% - 2px);width:calc(77.42718% + 4px);height:calc(48.86731% + 4px);opacity:1\">\n<div style=\"top:0;left:0;right:0;bottom:0;width:100%;height:100%;position:absolute;border-width:2px 2px 2px 2px;border-color:rgba(255,255,255,1);border-style:solid;border-radius:7.836990595611286% 7.836990595611286% 7.836990595611286% 7.836990595611286% \/ 8.27814569536424% 8.27814569536424% 8.27814569536424% 8.27814569536424%;pointer-events:initial;display:block;z-index:0\" class=\"mask\" id=\"el-813b89f1-095a-43fe-94e5-eab539c97dd1\">\n<div style=\"position:absolute;width:100%;height:187.78514%;left:0%;top:-59.05078%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/Perfect-cube-of-number-6.png\" alt=\"Perfect - cube - of - number-6\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/Perfect-cube-of-number-6.png 720w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/Perfect-cube-of-number-6-576x1024.png 576w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/Perfect-cube-of-number-6-169x300.png 169w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/Perfect-cube-of-number-6-150x267.png 150w\" sizes=\"(min-width: 1024px) 35vh, 77vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"77c10cb4-3196-4047-b348-a70bf79dab26\" auto-advance-after=\"9s\"><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-03ae3a45-35d6-4c74-84df-e14aaf6d88e6\",\"keyframes\":{\"opacity\":[0,1]},\"delay\":0,\"duration\":1300,\"easing\":\"cubic-bezier(.3,0,.55,1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-56ed6009-cc21-4752-9c51-78ba4357351d\",\"keyframes\":{\"transform\":[\"scale(0.3333333333333333)\",\"scale(1)\"]},\"delay\":0,\"duration\":1300,\"easing\":\"cubic-bezier(.3,0,.55,1)\",\"fill\":\"forwards\"}]<\/script><\/amp-story-animation><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#42052c\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-e51d493c-f6f8-427d-96b2-cb3f11cdb853\">\n<div style=\"position:absolute;width:100%;height:100%;left:0%;top:0%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/34.jpg\" alt=\"34\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/34.jpg 720w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/34-576x1024.jpg 576w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/34-169x300.jpg 169w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/34-150x267.jpg 150w\" sizes=\"(min-width: 1024px) 45vh, 100vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<div class=\"element-overlay-area\" style=\"background-image:radial-gradient(ellipse 67% 67%, rgba(0,0,0,0) 0%, rgba(0,0,0,0.7) 100%)\"><\/div>\n<\/div>\n<\/div>\n<div class=\"page-background-overlay-area\" style=\"background-image:radial-gradient(ellipse 67% 67%, rgba(0,0,0,0) 0%, rgba(0,0,0,0.7) 100%)\"><\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:11.8932%;top:5.33981%;width:76.21359%;height:32.03883%;opacity:1\">\n<div id=\"anim-03ae3a45-35d6-4c74-84df-e14aaf6d88e6\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-56ed6009-cc21-4752-9c51-78ba4357351d\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:scale(0.3333333333333333)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6369426751592357% 0.6369426751592357% 0.6369426751592357% 0.6369426751592357% \/ 1.0101010101010102% 1.0101010101010102% 1.0101010101010102% 1.0101010101010102%\" id=\"el-fecaa6f6-2506-44fd-9ac7-6cb3c013ed2d\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-wrap;overflow-wrap:break-word;word-break:break-word;margin:-0.5464968152866234% 0;font-family:&quot;Merriweather&quot;,serif;font-size:0.388350em;line-height:1.4;text-align:center;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">Now, when we group the prime factors of 500 such that each group of 3 has the same numbers, we are left with a double factor of 2s.<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:calc(11.40777% - 2px);top:calc(43.3657% - 2px);width:calc(77.42718% + 4px);height:calc(48.22006% + 4px);opacity:1\">\n<div style=\"top:0;left:0;right:0;bottom:0;width:100%;height:100%;position:absolute;border-width:2px 2px 2px 2px;border-color:rgba(255,255,255,1);border-style:solid;border-radius:7.836990595611286% 7.836990595611286% 7.836990595611286% 7.836990595611286% \/ 8.389261744966444% 8.389261744966444% 8.389261744966444% 8.389261744966444%;pointer-events:initial;display:block;z-index:0\" class=\"mask\" id=\"el-f0ba84b0-dee2-47d2-bd5e-5acc373e1b3b\">\n<div style=\"position:absolute;width:100%;height:190.30575%;left:0%;top:-54.36988%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/06\/Perfect-cube-of-number-7.png\" alt=\"Perfect - cube - of - number-7\" 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