Question

find the smallest number by which 3072 should be multiplied to obtain a perfect cube​

Answer 1

Answer:

Thus, the smallest number which should be multiplied to 3072 in order to make it a perfect cube is 36.

Step-by-step explanation:

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Answer 2

Answer:

36

Step-by-step explanation:

We have,

3072=2×2×2×2×2×2×2×2×2×2×3

After grouping the prime factors in triplets, it’s seen that factor 2×3 are left ungrouped.

3072=(2×2×2×2)×(2×2×2)×(2×2×2)×2×3

So, in order to complete them in a group of 3’s we need the factors 2×2×3×3 to be multiplied.

i.e. the factor needed is 2×2×3×3=36

Thus, the smallest number which should be multiplied to 3072 in order to make it a perfect cube is 36.

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