Find the smallest number that should be multiplied to 3993 to make it perfect cube cube \: and \: cube \: root \: ​

Question

Find the smallest number that should be multiplied to 3993 to make it perfect cube


`cube \: and \: cube \: root \:`
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Answer 1

First, let us prime factorise the given number

3993 = 3×11×11×11

Check for numbers in triplets. We find that only 11 is occuring as a triplet. Hence we must eliminate the three.

So if we divide 3993 by 3, we'll get a perfect cube, that is 1331 (11³)

So, the answer is 3