Question

Find the smallest value of m such that the product of 189m is a perfect square

Answer 1

Answer: 7

Explanation:

First, we need to prime factorize the number 189,

189 = 3 × 3 × 3 × 7 × m

From the factors we can see that there is no pair of same numbers for 7, so if we replace m with 7, we can get a perfect square.

Hence the answer is 7