# Divisibility by 4

The number 100 is divisible by 4. Hence, a number ending with two zeros is divisible by 4.

For example, 500, 700, 300 are divisible by 4 because they end with two zeros. The numbers 6000 and 23 000 are also divisible by 4.

Let us take a number that does not end with zeros, for example, 916.
This number can be represented like the sum 900 + 16.

Because both the addends are divisible by 4, their sum 916 is also divisible by 4.

On the contrary, 918 is not divisible by 4 because 918 = 900 + 18 and one of the addends (18) is not divisible by 4.

*From
the examples we can see that we need only the second addend
to determine divisibility by 4. The second addend consists of the
last two digits. *

So, the number 13724 is divisible by 4 because its last two digits, 24, are divisible by 4.

The number 13722 is not divisible by 4 because its last two digits, 22, are not divisible by 4.

For example, 450, 2506, 15342, 20018 are not divisible by 4.

540, 1256, 32424, 56300 are divisible by 4