If 135*s is a perfect square then s can be which of the following numbers? Choose one:
A) 15 B) 35 C) 54 D) 105 E) 150
My solution:   For a number to be a perfect square all the prime factors must be in pairs. So,   Prime factors of 135 are 3 *3 *3 *5   1)15 = 3 * 5   2) 35 = 5 * 7   3) 54 = 2 * 3 * 3 * 3   4) 105 = 3 * 5 * 7   5) 150 = 2 * 3 * 5 * 5   So only answer choice A completes the pairing of 3, 5 . It adds a3, a5, and a7to the prime factors of 135 (3*3*3*5) and makes it a perfect square. 15
<result>A</result>
If 135*s is a perfect square then s can be which of the following numbers?