The product $864 \times n$ is a perfect cube. What is the smallest possible value of 'n'?

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Solution

The correct option is A 2
$864 = 2^{2} \times 2^{3} \times 3^{3}$
A perfect cube would have all its prime factors raised to the power 3.
So, the smallest possible number, which makes it a perfect cube = 2

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