In this article, we will learn about divisibility rule of 15 with example. i.e. We will see how to check if any number is divisible by 15 or not.

## What is Divisibility Rule of 15 ?

A number is divisible by 15 if the number is divisible by 3 and 5 both.

### Example 1

Is 13725 divisible by 15?

Solution:

We need to check the divisibility of the number by 5 and 3 both.

As per divisibility rule of 3 – If the total sum of the digits of number is divisible by 3, then that number is divisible by 3.

Here, 1 + 3 + 7 + 2 + 5 =18 and 18 is divisible by 3.

So, given number, 13725 is divisible by 3.

As per divisibility rule of 5 – Any number ending with 0 and 5 is divisible by 5.

Hence, 13725 is divisible by 15 because it is divisible by 3 and 5 both.

### Example 2

Check if 8506 is divisible by 15 or not.

Solution:

We need to check the divisibility of the number by 5 and 3 both.

As per divisibility rule of 3 – If the total sum of the digits of number is divisible by 3, then that number is divisible by 3.

Here, 8 + 5 + 0 + 6 = 19 and 19 is not divisible by 3.

So, given number, 8506, is not divisible by 3.

As per divisibility rule of 5 – If any number is ending with 0 and 5, then the number is divisible by 5.

Here, 8506 is NOT neither ending with 0 nor 5. So, 8506 is NOT divisible by 5.

Since 8506 is neither divisible by 3 nor 5, it is not divisible by 15 as well.

### Example 3

Is 92525 divisible by 15 ?

Solution:

We need to check the divisibility of the number by 3 and 5 both.

As per divisibility rule of 3 – If the total sum of the digits of number is divisible by 3, the number is divisible by 3.

Here, 9 + 2 + 5 + 2 + 5 = 23 and 23 is not divisible by 3.

So, given number, 92525, is NOT divisible by 15.

### Example 4

Is 5806 is divisible by 15?

Solution:

We need to check the divisibility of the number by 5 and 3 both.

As per divisibility rule of 5 – If any number is ending with 0 and 5, then the number is divisible by 5.

Here, given number is not ending with 0 or 5 so this is not divisible by 5 and consequently not divisible by 15.

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