How to Find the Perfect Cube of a Number? Check Example

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Any number is a perfect cube only if it is a triple product of the same number.

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A number can be checked if it is a perfect cube or not by factoring it with its prime factors.

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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.

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If no single or double prime factor is left after grouping then the number is a perfect cube.

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For example, 343 is a perfect cube and we verify it by grouping its prime factor 7.

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Suppose we are asked to find if 500 is a perfect cube or not, we factorize it using its prime factors.

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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.

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