# Even Numbers

This article will provide you with a detailed account of even numbers and its concept so that it is easier for you to understand and have the basic idea.

## What is meant by Even Numbers?

Integers that are exactly divisible by two are called even numbers. 0,2,4,6,8 are the last digits of each even number. For example, 56,48,536, 484,16,18,2 ; because all these numbers are easily divided by 2.

Can you guess the smallest positive even number? It’s 2! Now, you must be thinking, what about the integers that are not divisible by 2? The integers that are not divisible by two are known as odd numbers.

**For example, 3, 15, 25, 37,195 etc.**

By now, I hope you’ve got the idea of how to recognize an even or odd number. Let’s make a quick revise.

- If the number is even, it’s last digits must be 2,4,6 and 8.
- if the number is odd, then the last digit must be 1,3,5,7 and 9.

## Properties of Even Numbers

**Addition Property –**

i) When an even number is added with another even number, then the result will always be even.

**Example:**

- 2+4=6
- 4+12=16

ii) When an odd number is added with an even number, then the result will always be odd.

**Example:**

- 3+6=9
- 9+3=12

iii) When an odd number is added with another odd number, the result is always even.

**Example:**

- 7+3=10
- 11+11=22

### Subtraction Property –

**i) When an even number is subtracted from an even number, the result is even.**

**Example:**

- 8-4=4
- 12-2=10

**ii) When an odd number is subtracted from an even number, then the result is always odd. **

**Example:**

- 7-2=5
- 19-4=15

**iii) When an odd number is subtracted from an odd number, the result is always even.**

**Example: **

- 7-5=2
- 13-11=2

### Multiplication Property-

**i) When an even number is multiplied with an even number, then the product is always even.**

**Example**:

- 2×2=4
- 4×6=24

**ii) When an odd number is multiplied with an even number, then the result is always even.**

**Example**:

- 3×2=6
- 5×6=30

iii) When an odd number is multiplied with an odd number, the result is always odd.

**Example:**

- 3×5=15
- 7×3=21

### Division Property-

When you divide, the product may be a fraction. We all know that fractions can never be classified into even or odd.

When you divide two whole numbers, say, 1÷3, the product is ⅓, which neither can be classified as odd or even. Why? Because only integers can be classified into odd or even, not fractions. Hence, there is no such property for the division.

Here is an exercise which will help you to get the idea and the concept of even numbers clearly and help you to do any sum related to even numbers easily.

- Which of the following numbers is even? 3, 4, 9, 15, 24, 34, 39, 45, 48, 315, 416, 7280
- Write all the even numbers which are greater than 60 and smaller than 70.
- Find the sum of the first five even numbers.

So now I hope you have a clear idea of what even numbers are. If not, let me tell you another time; even numbers can be divided into two halves, unlike odd numbers.

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