 
<translate> Ajụjụ bụ: Gịnị bụ nke kacha nta mma integer x, dị otú ahụ na 1,152x bụ a zuru okè cube? Nhọrọ: (A) 4 (B) 6 (C) 8 (D) 12 (E) 18 Mmiri nke ihe omuma: anyi kwesiri ime ka 1152x bu cube zuru oke, ya mere anyi kwesiri inwe ikike nke otutu nke 3 1152 = 2^7*3^2 Nke kacha nta uru nke x nke 1152x bụ a zuru okè cube = 2 ^ 2 * 3 = 12 <eng> The question is: What is the smallest positive integer x, such that 1,152x is a perfect cube?
Options:
(A) 4
(B) 6
(C) 8
(D) 12
(E) 18
Stream of consciousness: We need to make 1152x a perfect cube, hence we need to have the powers a multiple of 3
1152 = 2^7*3^2
The minimum value of x for which 1152x is a perfect cube = 2^2*3 = 12
 