Question

If m is a positive integer, what is the least value of m for which 180 is a factor of 105m

Answer 1

The answer is 12 as
15*12 is 108
So m=12

Answer 2

Explanation:

If 180 is the factor of 105 m, then the factors of 180 should also be the factors of 105 m.

Factors of 180 = 15 * 12

Factors of 105 m = 15 * 7 * m

The least value of m is = 12