Question

which is the smallest number by which the 1323
be multiplied so that the quotient is a perfect cube​

Answer 1

Step-by-step explanation:

The prime factorisation of 1323 is

1323 = 3×3×3×7×7

The factors 7×7 do not appear in group of three.

If we multiply 1323 by 7, the number obtained will be

9261 whose all prime factors can be grouped as triplets.

9261 = 3×3×3×7×7×7

therefore, 9261 is a perfect cube.

hope its helpful.