If n is a positive integer and n^2 is divisible by 72, then the largest positive integer V that must divide n is? Choose the correct choice from the following answers
A) 6	B) 12	C) 24	D) 36	E) 48
Q: If n is a positive integer and n^2 is divisible by 72, then the largest positive integer V that must divide n is:   A 6, B 12, C 24, D 36, E 48   n^2 is divisible by 72, but it must also be greater than 72. If n is an integer, then n^2 must be a perfect square. The factorization of 72 is (8)(9), so if it is multiplied by 2, it will be (2)(8)(9) = (16)(9) = 144, a perfect square. So n^2 must be at least 144 or a multiple of 144, which means that n must be 12 or a multiple of 12.12
<result>B</result>
If n is a positive integer and n^2 is divisible by 72, then the largest positive integer V that must divide n is?