•  
agra,ahmedabad,ajmer,akola,aligarh,ambala,amravati,amritsar,aurangabad,ayodhya,bangalore,bareilly,bathinda,bhagalpur,bhilai,bhiwani,bhopal,bhubaneswar,bikaner,bilaspur,bokaro,chandigarh,chennai,coimbatore,cuttack,dehradun,delhi ncr,dhanbad,dibrugarh,durgapur,faridabad,ferozpur,gandhinagar,gaya,ghaziabad,goa,gorakhpur,greater noida,gurugram,guwahati,gwalior,haldwani,haridwar,hisar,hyderabad,indore,jabalpur,jaipur,jalandhar,jammu,jamshedpur,jhansi,jodhpur,jorhat,kaithal,kanpur,karimnagar,karnal,kashipur,khammam,kharagpur,kochi,kolhapur,kolkata,kota,kottayam,kozhikode,kurnool,kurukshetra,latur,lucknow,ludhiana,madurai,mangaluru,mathura,meerut,moradabad,mumbai,muzaffarpur,mysore,nagpur,nanded,narnaul,nashik,nellore,noida,palwal,panchkula,panipat,pathankot,patiala,patna,prayagraj,puducherry,pune,raipur,rajahmundry,ranchi,rewa,rewari,rohtak,rudrapur,saharanpur,salem,secunderabad,silchar,siliguri,sirsa,solapur,sri-ganganagar,srinagar,surat,thrissur,tinsukia,tiruchirapalli,tirupati,trivandrum,udaipur,udhampur,ujjain,vadodara,vapi,varanasi,vellore,vijayawada,visakhapatnam,warangal,yamuna-nagar
Even Numbers

Even Numbers - Definition, Properties, Addition, Subtraction, Multiplication and Even and Odd Differences
 

 

What is an Even Number?

Any integer in the number system, which when divided by two yields no remainder, is said to be an even number. This implies that the numbers are even if they are exactly divisible by the number 2. The one-digit examples of even numbers are 2, 4, 6, and 8. The two-digit, three digits numbers etc., are even, if they contain 0, 2, 4, 6, and 8 in their unit’s place. All these numbers are even numbers because they leave no remainder on division with 2. The numbers which counter the even numbers are called odd numbers and are defined as the integers which leave some remainder on division with 2. They also yield a decimal value and are not perfectly divisible. Examples of such numbers are 3, 5, 13, 11, 21, etc.

Knowing Even Numbers Practically

Let us assume that Ram has 8 apples. If he groups them in pairs, he will have 4 pairs of apples with no apple left unpaired. That means the remainder is zero. From this, we can deduce that 8 is perfectly divisible by 2, with the quotient being 4. This experiment proves that if an even number is divided by 2, then the remainder will always be zero (no remainder left). Likewise, if he pairs them as 3 then he will form 2 groups of 3 apples, and 1 group will be left with 2 apples. This implies that 8 is not completely divisible by odd numbers. Even numbers are only multiples of 2.

Difference between Even and Odd

To inspect whether the numbers are either even or odd, we need to carefully check the unit’s place of the numbers. The numbers having 0, 2, 4, 6, and 8 as their unit digits will be called even numbers, while the numbers containing 1, 3, 5, 7, and 9 are considered as odd numbers. Let us consider a random number, say 315, since it has 5 in its unit place and 5 is an odd number; therefore, the number is also an odd number. Similarly, 11, 223, 877, and 69 are odd numbers.

Properties of Even Numbers

Even numbers share a lot of properties. Let us now learn about various arithmetic properties of even numbers such as addition, subtraction, etc.

Addition Property

  • Even numbers add up to yield another even number. For example, 20 + 6 = 26
  • The summation of an even number with an odd number always results in an odd number. For example, 2 + 11 = 13
  • The addition of two odd numbers yields an even number. For example, 27 + 3 = 30

Subtraction Property

  • Similar to addition, two even numbers subtract to form an even number. For example, 40 - 2 = 38
  • The difference between an even number and odd number results in the formation of an odd number. For example, 19 – 2 = 7.
  • Subtracting an odd number with another odd number gives an even number. For example, 41 – 11 = 30

Multiplication Property

Two even numbers multiplied by each other yields an even number, and the product of an even and an odd number is also an even number. For example, 4 * 6 = 24, 3 * 8 = 24.

Aakashians JEE Topper

Aakashians NEET UG 2023 Champions Again

Historic Results 2023 Aakashians Qualified +1 Lakh

JEE Advanced 2023

JEE Advanced 2023 Stats

JEE Advanced 2022 Topper

NEET Related Links

NEET Exam 2024

NEET 2024 Exam Dates

NEET 2024 Exam pattern

NEET 2024 Syllabus

NEET 2024 Eligibility Criteria

NEET 2024 Application

NEET UG Counselling

NEET FAQ

NEET UG Result

NEET 2024 Cut Off

Neet 2023 Toppers List Names & Rank

Neet Result 2023 Toppers list rank cut off

Neet Answer key Live Download PDF

Neet 2023 State Toppers List

JEE MAIN Related Links

JEE Main 2024

JEE Main Rank Predictor 2024

JEE Main College Predictor 2024

JEE Main 2024 Exam Dates

JEE Main 2024 Exam pattern

JEE Main 2024 Application

JEE Main 2024 Eligibility Criteria

JEE Main 2024 Syllabus

JEE Main 2024 Physics Syllabus

JEE Main 2024 Maths Syllabus

JEE Main 2024 Chemistry Syllabus

JEE Main 2024 Admit Card

JEE Main 2024 Counselling

JEE Main marks vs rank vs percentile

JEE Advanced Result 2023 live topper list

JEE Exam Preparation - How to calculate your rank jee

JEE Maths Syllabus - Important topics and weightage

JEE Advanced Related Links

JEE Advanced 2024 Exam Dates

JEE Advanced 2024 Application

JEE Advanced 2024 Eligibility Criteria

JEE Advanced 2024 Syllabus

JEE Advanced 2024 Maths Syllabus

JEE Advanced 2024 Physics Syllabus

JEE Advanced 2024 Chemistry Syllabus

JEE Advanced Exam Result

JEE Advanced Exam Dates

JEE Advanced Registration Dates

CUET Related Links

CUET 2024 Eligibility Criteria

CUET 2024 Admit Card

CUET 2024 Exam Pattern

CUET 2024 FAQs

CUET 2024 Counselling

CUET 2024 Syllabus

CUET 2024 Result

CUET 2024 Answer Key

CUET 2024 Preparation

CUET CUTOFF

CUET 2024 Application Form

Talk to our expert
Resend OTP Timer =
By submitting up, I agree to receive all the Whatsapp communication on my registered number and Aakash terms and conditions and privacy policy