 <translate> 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
 <yor> Ìbéèrè náà ni pé: Kí ni iye tó kéré jù lọ tó jẹ́ pé 1,152x jẹ́ kóbù pípé? Àwọn àyè: (A) 4 (B) 6 ì (C) 8 (D) 12 (E) 18 Ìṣàn ìmọ̀lára: A ní láti ṣe 1152x ní ìmúra pípé, nítorí náà a ní láti ní àwọn agbára tí ó jẹ́ ọ̀pọ̀lọpọ̀ 3 1152 = 2 sí 7 * 3 sí 2 Iye ti o kere julo ti x fun eyi ti 1152x jẹ onigun pipe = 2^2*3 = 12 