Question

What is the least number should be divided by 1323 then we get a perfect cube

Answer 1

Resolving 1323 into prime factors, we have
                    1323 = 3 x 3 x 3 x 7 x 7
Since one more 7 is required to make a triplet of 7, the smallest number by which 1323 should be multiplied to make it a perfect cube is 7.

Answer 2

3*3*3*7*7 so that produces 7 as its perfect cube