Q: What is the smallest positive integer x, such that 1,152x is a perfect cube?\nOptions:\n(A) 4\n(B) 6\n(C) 8\n(D) 12\n(E) 18 Let's give some random thoughts before answering.
User
We need to make 1152x a perfect cube, hence we need to have the powers a multiple of 3\n1152 = 2^7*3^2\nThe minimum value of x for which 1152x is a perfect cube = 2^2*3 = 12
Therefore, the answer is (D).
Assistant