Question

Find the smallest numbers by which 6048 should be multiplied and divided so that the product and the quotient obtained is a perfect cube.

Answer 1

$6048 = {2 }^{5} \times {3}^{3} \times 7$

Thus if we multiply

${2} \times {7}^{2} = 98$

we get the product (6048*98) as a perfect square.

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