# Even Numbers

## What Is an Even Number?

An even number is a whole number that can be divided exactly by 2.

### Dictionary Definition

The Oxford English Dictionary defines an even number as a number "divisible integrally into two equal parts; opposed to odd."

## Examples of Even Numbers

Some examples of even numbers are given below:

## Even Numbers on a Number Line

The image below shows the even numbers on the number line.

## How to Check if a Number Is an Even Number

A number is even if it can be divided exactly by 2.

### Question

Is 24 an even number?

### Step-by-Step:

# 1

Divide the number by 2.

24 ÷ 2 = 12

# 2

Check if the answer from **Step 1** is a whole number. If it is, the original number is even. Else it is odd.

In our example, 12 is a whole number.

### Answer:

24 is an even number.

## A Formula to Generate Even Numbers

The formula below generates even numbers:

If **k** takes a whole number (1, 2, 3...), then **n** will always be even.

k = 0 ∴ n = 2k = 2 × 0 = 0

k = 1 ∴ n = 2k = 2 × 1 = 2

k = 2 ∴ n = 2k = 2 × 2 = 4

k = 3 ∴ n = 2k = 2 × 3 = 6

k = 4 ∴ n = 2k = 2 × 4 = 8