Question

find the smallest number by which 392 must be divided so that the quotient is a perfect cube

pls answer with working

Answer 1

Answer:

7

Step-by-step explanation:

392=2×2×2×7×7

7 occurs as a prime factor only twice.

Hence, 7 is the smallest number by which 392 must be multiplied so that the product is a perfect cube.

Answer 2

Answer:

To make its a cube, we need one more 7. In that case 392 × 7 = 2 × 2 × 2 × 7 × 7 × 7 = 2744 which is a perfect cube. Hence the smallest natural number by which 392 should be multiplied to make a perfect cube is 7.

Step-by-step explanation:

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