Even Numbers
(KS2, Year 4)

The Lesson

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.

Interactive Game on Even Numbers

Here is an interactive game to help you learn about even numbers and odd numbers.

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

Top Tip

A Quick Way to See If a Number Is Even

A number is even if its last digit is 0, 2, 4, 6 or 8.

Lesson Slides

The slider below shows a real example of even numbers. Open the slider in a new tab
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See Also

What is an odd number What is a number line? Play our "bubble pop" game on even numbers. Play our "bubble pop" game on odd numbers. Play our "whack-a-mole" game on odd numbers. Play our "bubble pop" game on prime numbers. Play our "bubble pop" game on composite numbers. Play our "bubble pop" game on square numbers. Arithmetic with even and odd numbers