Question

What is the smallest number by which 2744 be multiplied so that the product is a perfect cube

Answer 1

Step-by-step explanation:

It is a perfect cube only

2|2744

2|1372

2|686

7|343

7|49

7

$\sqrt[3]{2744} = 14$

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Answer 2

Answer:

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.