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

**Given:**

A number is divisible by both 5 and 12.

**To do:**

We have to find the other number by which the above number is always divisible.

**Solution:**

Factors of 5 are 1 and 5

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

Common factor of 5 and 12 is 1.

This implies,

5 and 12 are co-prime.

Therefore,

The number is also divisible by the factors of their product,

$5\times12=60$

Factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.

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