Question

To convert 16 to a perfect cube, the smallest number it should be mutiplied by is

• A. 2
• B. 4
• C. 16
• D. 8

Answer 1

The correct option is B 4

Prime factorization of 16 is
2 x 2 x 2 x 2.
$\Rightarrow 16=2^3\times 2$
To convert a number to a perfect cube, exponents of its factors should be in multiples of 3.
$\therefore$ 16 should be multiplied by $2^2$ = 4.