What is the smallest positive integer by which 180 should be multiplied to obtain a perfect square?

Answer 1

A perfect square will have an even number of repetitions of each prime factor.

180 = 2*2*3*3*5
e have 2^2 and 3^2, but we need another 5. So, 180*5 = 900 = 30^2 = (2*3*5)^2