Question

Find out the smallest number which when multiplied by 256 will make the product a perfect cube?​

Answer 1

Answer:

2

Step-by-step explanation:

We have 256=2*2*2*2*2*2*2*2

Grouping the prime factor of 256 in triples, we are left over with 2*2

Therefore,256 is not a perfect cube.

now, 256*2=(2*2*2*2*2*2*2*2)*2

or, 512=2*2*2*2*2*2*2*2*2

i.e., 256 is a perfect cube.

Thus the required smallest number is 2.

Answer 2

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