Question

Find the smallest number by which 1323 must be multiplied so that the product is a perfect cube

Answer 1

1323 = 3 x 441 = 3 x 7 x 63 = 3 x 7 x 7 x 3 x 3


so we see 3's are forming a triplet and 7's are forming a duplet so we need to multiply it by 7 so make it a perfect cube.

Ans . 7

Answer 2

1323 = 3*3*3*7*7.
If we multiply it by 7 it will be perfect cube ³.

So, Answer is 7.