## DIVISIBILITY BY 12

Divisibility by 12 :

All the numbers which are divisible by 3 and divisible by 4 are divisible by 12.

Let us look into some example problems.

Example 1 :

Check 8520 is divisible by 12 or not.

Solution :

Here the given number is 8520.According to the procedure first we have to check if the given number is divisible by 3.

 For that we have to calculate the sum of the digits that is  8 + 5 + 2 + 0 = 15

So it is divisible by 3.

 To check whether 8520 is divisible by 4 we need to consider the last two digits that is 20

So it is divisible by 4.

Hence, the given number 8520 is divisible by 12.

Example 2 :

Check 9110 is divisible by 12 or not.

 For that we have to calculate the sum of the digits that is,9 + 1 + 1 + 0 = 11

To check whether 9110 is divisible by 4, we need to consider the last two digits that is 10

Since 10 is not the multiple of 4, it is not divisible by 4.

Hence 9110 is not divisible by 12.

Example 3 :

Check whether the number 2340 is divisible by 12.

Options :

(A) Yes       (B) No

Solution :

Here the given number is 2340.According to the procedure first we have to check if the given number is divisible by 3.

 For that we have to calculate the sum of the digits that is  2 + 3 + 4 + 0 = 9So it is divisible by 3. To check whether 2340 is divisible by 4, we need to consider the last two digits that is 40

Since the given number 2340 is divisible by 3 and 4, it is divisible by 12.

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