In this article, we will learn about divisibility rule of 18 with example. i.e. We will see how to check if any number is divisible by 18 or not.

## What is Divisibility Rule of 18 ?

A number is divisible by 18 if a number is divisible by 2 and 9 both.

- Divisibility Rule of 2 – For divisibility by 2 the last digit of a number ends with 0, 2, 4, 6, 8.
- Divisibility Rule of 9 – For divisibility by 9 the sum of the digits of the number is divisible by 9.

### Example 1

Is 63234 divisible by 18?

Solution

According to divisibility rule of 2, here, last digit is 4 so this number is divisible by 2 .

For divisibility rule of 9, the sum of total digit of a number is divisible by 9, then the number is divisible by 9.

Here, sum of digits= 6 + 3 + 2 + 3 + 4 = 18 and 18 is divisible by 9.

Hence, the number 63234 is divisible by 18.

### Example 2

Check if 244,176 is divisible by 18 or not.

Solution:

Divisibility rule of 18 states that a number is divisible by 18 if it is divisible by 2 and 9 both.

Here, number is 244,176 and it’s last digit is 6. So, it’s divisible by 2. Now, sum of digits are 2 + 4 + 4 + 1 + 7 + 6 = 24 and 24 is not divisible by 9. Hence, 244176 is not divisible by 18.

### Example 3

Is 1315 divisible by 18?

Solution:

We need to check the divisibility rule of 18. A number is divisible by 18 if it is divisible by 2 and 9 both.

Here, last digit of the number 1315 is 5 and 5 is not divisible by 2. Hence, given number, 1315, is not divisible by 18.

### Example 4

Is 54172 divisible by 18?

Solution:

We need to check the divisibility rule of 18. A number is divisible by 18 if it is divisible by 2 and 9 both.

Here, the last digit of the number 54172 is 2 which is divisible by 2. The sum of number 54172 = 5 + 4 + 1 + 7 + 2 = 19 and 19 is not divisible by 9. Then, 54172 is not divisible by 9. Hence, 54172 is not divisible by 18.

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