If 375*s is a perfect square then s can be which of the following numbers?
Choose the correct choice from the following options:  A) 21  B) 35  C) 54  D) 15  E) 150
My solution:   For a number to be a perfect square all the prime factors must be in pairs. So,   Prime factors of 375 are 5*5 *5 * 3   1) 21 = 3 * 7   2) 35 = 5 * 7   3) 54 = 2 * 3 * 3 * 3   4) 15 = 3 * 5   5) 150 = 2 * 3 * 5 * 5   So only answer choice D completes the pairing of 3, 5 . It adds a3, a5, and a7to the prime factors of 375 (3*5*5*5) and makes it a perfect square.15
<result>D</result>
If 375*s is a perfect square then s can be which of the following numbers?