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

Let’s find out the prime factors of the given number,


3



1323



3



441



3



147



7



49



7



7




1



1323 = 3 × 3 × 3 × 7 × 7


As we can see, one 7 is required to make the pair of two triplets. So, 7 will be the smallest number to multiply 1323 to make it the perfect cube.


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