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Question

A number is divisible by both 5 and 12. By which another number will that number be always divisible?


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Solution

Given that a number is divisible by both 5 and 12.

We have to find another number by which the given number is always divisible.

We know that

Factors of 5 are 1,5

Factors of 12 are 1,2,3,4,6,12

Since 5 and 12 have no common factor other than 1, therefore they are co-primes and we know that if a number is divisible by two co-primes, then it is also divisible by their product.

The product of 5 and 12 =5×12=60.

Thus the number is always divisible by 60.

Therefore, if a number is divisible by both 5 and 12, it will be divisible by 60.


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