In this article, we will learn about divisibility rule of 14 with example. i.e. We will see how to check if any number is divisible by 14 or not.

## What is Divisibility Rule of 14 ?

A number is divisible by 14 if that number is divisible by both 2 and 7.

### Example 1

Check if 128 is divisible by 14 or not.

Solution:

Here, given number 128 is divisible by 2 as per divisibility rule of 2 because it’s last digit is even number.

It is also divisible by 7 as per divisibility rule of 7.

So, 128 is divisible by 14.

### Example 2

Check if 163 is divisible by 14 or not.

Solution:

We need to check if the given number 163 is divisible by both 2 and 7.

As per divisibility rule of 2 – 163 is not divisible by 2.

As per divisibility rule of 7 – 163 is not divisible by 7.

Hence, 163 is NOT divisible by 14.

### Example 3

Is 24591947 is divisible by 14 ?

Solution:

We need to check if the given number 24591947 is divisible by both 2 and 7.

As per divisibility rule of 2 – 24591947 is not divisible by 2.

To be divisible by 14, number should be divisible by 2 and 7 both. So, 24591947 is NOT divisible by 14.

### Example 4

Is 1372 divisible by 14?

Solution:

As per divisibility rule of 2 – 1372 is divisible by 2 since last digit is even number.

As per divisibility rule of 7 – 1372 is divisible by 7.

As per divisibility rule of 7 – Double the last digit of the given number and subtract it from the remaining number. Then, if the result is 0 or a multiple of 7, the given number is divisible by 7.

Here, given number is 1372.

Double the last digit = 2 × 2 = 4.

Now, subtract it from remaining number 137 – 4 = 133 is divisible by 7.

Hence, 2372 is divisible by 14.

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