Divisibility rule of 12 explained with examples

Learn and know the divisibility rule of 12 which is very useful for the everyone, especially for those who are preparing/attempting the bank exams. We know that in the bank exams there won’t be any sufficient time for checking the number whether it is divisible by 12 or not by regular division process. So learning this divisibility rule will help in solving problem in less time.

Divisibility rule of 12 explained

Every one of us knows the divisibility rules of the numbers 2 to 11 except 7. Only a few of us know the divisibility rule of 7. Generally, in the school curriculum, divisibility rules will be up to 11 only. Some of the students may be having doubt that there are any divisibility rules above 11 or not? Then the answer will be definitely “yes “only. So, it is clear that there are some divisibility rules for the numbers, which are above 11”. Now we will learn the divisibility rule of 12 in detail with examples.

Divisibility rule of 12 as follows:

To check whether the given number is divisible by 12 or not, just check the given number is divisible by 4 and also by 3. If the given number is divisible by both 4 and 3 then it will be also divisible by the number 12. To understand this, let us consider the some examples.

Ex 1:

Find out 96 is divisible by 12 or not?

Sol:

            According to the divisibility rule of 12, check 96 is divisible by the numbers 4 and 3. We know that, the divisibility rule of 4 i.e. last 2 digits should be divisible by the number 4. On observation it is clear that 96 is divisible by 4. Now check 96 is divisible by 3 or not. Divisibility rule of 3 is sum of the digits should be divisible by the 3. In 96, sum of the two digits i.e. 9 + 6 = 15. As the result 15 is divisible by 3 so 96 is divisible by 3.

So finally it is clear that 96 is divisible by 4 and 3. So, we say the number 96 is divisible by the number12.

Ex 2:

Find out 189 is divisible by 12 or not

Sol:

            In 189, last 2 digits i.e. 89 is not divisible by 4. So the number 189 is not divisible by the 12.

NOTE:

In the above problem, I didn’t check 189 is divisible by 3 or not because according divisibility rule of 12 the given number 189 should be divisible by the both numbers 3 and 4. If one number not satisfying then no need to check other.  

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