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A number $x$ is equal to $7\cdot24\cdot48$. What is the smallest positive integer $y$ such that the product $xy$ is a perfect cube?

 Jan 19, 2020
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Does this mean: $7\cdot24\cdot48$ =7 * 24 * 48 ??.If so, then you have:

 

=8064 =2^7 * 3^2 * 7

 

So, y =2^2 * 3 * 7^2 =588, so that:

 

8064 * 588 =4,741,632^(1/3) = 168 - and is a perfect cube.

 Jan 19, 2020

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