Question:

By what least number should 1536 be divided to get a perfect cube?

(a) 3

(b) 4

(c) 6

(d) 8

Solution:

(a) 3

$1536=2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3=(2)^{3} \times(2)^{3} \times(2)^{3} \times 3$

Therefore, to get a perfect cube, we need to divide 1536 by 3.