Question

Is 392 a perfect cube? If not, find the smallest natural number by which 392 should be multiplied so that the product is a perfect cube.

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Answer 1

Heyaa

ANSWER

The prime factorisation of 392 gives:

392 = 2 x 2 x 2 x 7 x 7

Since 7 cannot be paired in a group of three.

Therefore, 392 is not a perfect cube.

To make it a perfect cube, we have to multiply the 7 by the original number.

Thus,

2 x 2 x 2 x 7 x 7 x 7 = 2744,

which is a perfect cube

Hence, the smallest natural number which should be multiplied to 392 to make a perfect cube is 7.

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Hope this helps ya! ♡

~Jahnavi♪♫

Answer 2

Answer:

No 392 is not a perfect cube, 7.

Step-by-step explanation:

Smallest natural number that should be multiplied is 7

392×7 = 2744 which is a perfect cube since cube root of 2744 = 14.