Question:
Mark (✓) against the correct answer
By what least number should 324 be multiplied to get a perfect cube?
(a) 12
(b) 14
(c) 16
(d) 18
Solution:
(d) 18
$324=2 \times 2 \times 3 \times 3 \times 3 \times 3=2 \times 2 \times 3 \times(3)^{3}$
Therefore, to show that the given number is the product of three triplets, we need to multiply 324 by $(2 \times 3 \times 3)$.
In other words, we need to multiply 324 by 18 to make it a perfect cube.