GRE Question of the Day (August 9th)

k is a positive integer and 225 and 216 are both divisors of k. If \({k = 2^a \times 3^b \times 5^c}\), where a, b and are positive integers, what is the least possible value of \({a + b + c}\)?

(A) 4

(B) 5

(C) 6

(D) 7

(E) 8