If n is a positive integer and n2 is divisible by 72, then the largest positive integer that must divide n is
Please explain your answer in detail.
not sure whether the question is properly worded:
n^2 = 72k
n^2 = 2 x 2 x 2 x 3 x 3 x k
n = 2x3 sqrt(2k)
has to be a minimum of 2 to be n an integer
so n = 2x3x2 = 12