DIVISIBILITY BY 12

About "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 = 9

So 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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Divisibility test for 8

Divisibility test for 9

Divisibility test for 10

Divisibility test for 11

Divisibility test for 12

Divisibility test for 15

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Test on divisibility by 3

Test on divisibility by 4

Test on divisibility by 5

Test on divisibility by 6

Test on divisibility by 8

Test on divisibility by 9

Test on divisibility by 10

Test on divisibility by 11

Test on divisibility by 12

Test on divisibility by 15

Test on divisibility by 18

After having gone through the stuff given above, we hope that the students would have understood "Divisibility by 12"

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