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What Are Even Numbers? | Definition, Properties, Solved Examples

Written by Prerit Jain

Updated on: 23 May 2023

What Are Even Numbers? | Definition, Properties, Solved Examples

What Are Even Numbers? | Definition, Properties, Solved Examples

Do you get confused by odd and even numbers? But not anymore. If a number is a multiple of 2, then it’s an even number. However, if it’s not a multiple of 2, then it’s an odd number. In this article, you will read about even numbers: the best way to identify them, their types, and with solved examples.

What are even numbers? 

A number that is completely divisible by 2 is known as an even number.

Examples of even numbers are 2, 60, 94, etc.,

2 ÷ 2 = 1, Remainder = 0
60 ÷ 2 = 30, Remainder = 0
94 ÷ 2 = 47, Remainder = 0

Some of the quick ways to find an even number are:

  • If a number can be divided into two equal parts, then it’s an even number.
  • If a number does not leave any remainder after dividing by 2, then it’s an even number.
  • If the number ends with 0, 2, 4, 6, or 8, then it’s an even number.

Try Yourself: Let’s assume you have 4 candies and try to guess if it’s an odd number or an even number. If you can divide 4 candies into 2 equal parts, then it’s an even number. If not, then it’s an odd number.

Properties of even numbers

There are three major properties of even numbers that every student must know. These properties are the addition, subtraction, and multiplication of even numbers with an even number.

Addition of two even numbers

When we add two even numbers then the result is an Even Number. 

For example: 

  • 2 + 2 = 4
  • 6 + 4 = 10
  • 10 + 14 = 24

Try Yourself: 

  • 8 + 4 = ? 
  • 20 + 2 = ?
  • 16 + 4 = ?

Subtraction of two even numbers

When we subtract two even numbers then the result is an Even Number.

For example: 

  • 4 – 2 = 2
  • 8 – 4 = 4
  • 14 – 12 = 2

Try Yourself: 

  • 10 – 2 = ? 
  • 12 – 4 =?
  • 10 – 4 =?

Multiplication of two even numbers

When we multiply two even numbers then the result is an Even Number.

For example: 

  • 4 x 2 = 8
  • 8 x 4 = 32
  • 2 x 12 = 24

Try Yourself: 

  • 10 x 2 = ? 
  • 12 x 4 = ?
  • 14 x 4 = ?

Even Number List 1 to 1000

The even numbers from 1 to 1000 are tabulated below:

2468101214161820
22242628303234363840
42444648505254565860
62646668707274767880
828486889092949698100
102104106108110112114116118120
122124126128130132134136138140
142144146148150152154156158160
162164166168170172174176178180
182184186188190192194196198200
202204206208210212214216218220
222224226228230232234236238240
242244246248250252254256258260
262264266268270272274276278280
282284286288290292294296298300
302304306308310312314316318320
322324326328330332334336338340
342344346348350352354356358360
362364366368370372374376378380
382384386388390392394396398400
402404406408410412414416418420
422424426428430432434436438440
442444446448450452454456458460
462464466468470472474476478480
482484486488490492494496498500
502504506508510512514516518520
522524526528530532534536538540
542544546548550552554556558560
562564566568570572574576578580
582584586588590592594596598600
602604606608610612614616618620
622624626628630632634636638640
642644646648650652654656658660
662664666668670672674676678680
682684686688690692694696698700
702704706708710712714716718720
722724726728730732734736738740
742744746748750752754756758760
762764766768770772774776778780
782784786788790792794796798800
802804806808810812814816818820
822824826828830832834836838840
842844846848850852854856858860
862864866868870872874876878880
882884886888890892894896898900
902904906908910912914916918920
922924926928930932934936938940
942944946948950952954956958960
962964966968970972974976978980
9829849869889909929949969981000
Read Table From Left To Right

Solved Examples

It’s time to learn more about even numbers with the help of some examples and practice questions. Hence, to help you with it, we have listed out some even numbers of solved examples here. First, try to solve the questions listed below on your own with your understanding and then see the solution.

Example 1: Identify if the 3608 number is an even number or not. 
Solution:

3608 is an even number because when we divide it by 2, it will give 0 as a remainder.
3608 ÷ 2 = ?
3608 ÷ 2 = 1804
Quotient = 1804
Remainder = 0  
If the remainder is 0, then the given number is an even number.

Example 2: Which of the following numbers are even numbers:
3, 50, 7, 94, 12, 15, 19, and 18? 
Solution:
From the above, 50, 94, 12, and 18 are the only even numbers.
When the numbers 50, 94, 12, and 18 are divided by 2, the remainder is 0. However, when the numbers 3, 7, 15, and 19 are divided by 2, the remainder is 1.
Hence, those numbers which leave a remainder of 0 when divided by 2 are known as even numbers.

Example 3: What is the formula to find the sum of even numbers? 
Solution: The formula to find the sum of Even Numbers is n * (n + 1). 
Let’s find sum of first 5 even numbers = 5 * (5 +1)
  = 5 * 6
  = 30. 
The sum of the first 5 Even numbers is 30. 

Example 4: What is the Sum of the first 15 Even Numbers? 
Solution: First 15 even numbers = 2, 4, 6, 8, and 10. 
Sum of first 15 Even Numbers = n * (n + 1)
  = 15 * (15 + 1)
  = 15 * 16
  = 240
The sum of the first 15 even numbers is 240. 

FAQs

How to identify even numbers? 
If a number is divisible into two equal parts, then it’s an even number. There is a trick to identifying it without doing the actual division. Just look at the ones or end digits of the number. If the end digit is an even number like 0, 2, 4, 6, or 8, then the entire number is an even number.

What is the smallest even number? 
2 is the smallest even number.

3580 is an even number? 
Yes, 3580 is an even number. Because when we divide 3580 by 2, we get 0 as a remainder.

What is an even prime number? 
2 is an even prime number. It’s the only even number that is a prime number. The fact is that, except for 2, all prime numbers are odd numbers.

What is the product of two even numbers? 
The product of two even numbers is also going to be an even number. Furthermore, if you multiply an even number by an odd number, the result will be an even number.

To get better at maths, students must learn to identify even numbers. There are a few shortcuts or tricks you can learn and use to quickly identify even numbers. For example, if the end digit of a number is even, then the entire number is an even number.

In addition, the most common question related to even numbers is finding their sum. So, students don’t need to calculate them one by one but use the formula. The n * (n + 1) formula will help students find the sum of the first even number in the list. Keep in mind that it only calculates the first given number and not any random even number.

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Prerit Jain

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