What is the smallest number by which 1323 may be multiplied so that the product is perfect cube?

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

The prime factor of 1323 are =3 x 3 x 3 x 7 x 7= (3 x 3 x 3) x 7 x 7

Clearly, 1323 must be multiplied by 7.

Concept: Concept of Cube Root

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

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