Question

The smallest number that should be multiplied with 32 to make it a perfect cube is _____.

• A. 2
• B. 3
• C. 4
• D. 6

Answer 1

The correct option is A 2

From prime factorization, 32 can be written as 2 x 2 x 2 x 2 x 2.
$\Rightarrow 32=2^3\times 2^2$
To convert a number to a perfect cube, exponents of its factors should be in multiples of 3.
$\therefore$ The smallest number 32 should be mutiplied by
to make it a perfect cube is 2.