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

Slider

The slider below shows a real example of even numbers.

Open the slider in a new tab

See Also

What is an odd number What is a number line? Arithmetic with even and odd numbers