Question

Find the smallest number which get multiply in 256 get a perfect cube​

Answer 1

Answer:

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here is your answer

Explanation:

256 × 2 = (2 × 2 × 2) × (2 × 2 × 2) × (2 × 2 × 2) = 512 is a perfect cube. Hence, the smallest natural number by which 256 should be multiplied to make it a perfect cube is 2.

Answer 2

Answer:

2

Explanation:

256=2×2×2×2×2×2×2×2

=(2³×2³×2²)

=(2×2)³×2²

In this factorization there is no triplet for 2.

So, 256 is not a perfect cube.

∴ 256 has to be multiplied by 2 to make it a perfect cube.

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