In this article, we will learn about divisibility rule of 12 with example. i.e. We will see how to check if any number is divisible by 12 or not.

## What is Divisibility Rule of 12 ?

A number is divisible by 12 if the given number is divisible by 3 and 4 both.

### Example 1

Check if 609 is divisible by 12 or not.

Solution:

We have to check whether 12 is divisible by 3 and 4 both or not.

Here, given number 609, is divisible by 3 but not by 4 because last two digit of 609 is not divisible by 4.

Therefore, 609 is divisible by 3 but not by 4.

So, 609 is not divisible by 12.

### Example 2

Check whether 5820 is divisible by 12 or not.

Solution:

Divisibility rule of 12 states that given number is divisible by 12 if it is divisible by 3 and 4 both.

Now, first we check whether 5280 is divisible by 3 or not.

Sum of given number = 5 + 2 + 8 + 0 = 15

And 15 is divisible by 3.

Now, we will check wether 5280 is divisible by 4 or not.

According to divisibility rule of 4, any number is divisible by 4 if the last two digit of a number is divisible by 4.

Here, 80 is divisible by 4.

So, the given number 5280 is also divisible by 4.

Hence, it is clear that 5280 is divisible by 3 and 4 both .

Therefore, 5280 is divisible by 12.

### Example 3

Is 1910 is divisible by 12 ?

Solution:

Divisibility rule of 12 states that given number is divisible by 12 if it is divisible by 3 and 4 both.

Now, first we check whether 1910 is divisible by 3 or not.

Sum of given number = 1 + 9 + 1 + 0 = 11

Since 11 is not divisible by 3, 1910 is not divisible by 3.

Since number should be divisible by 3 and 4 both, 1910 is not divisible by 12.

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