Question

find out that the smallest number which when multiplied by 256 will make the product of perfect cube

Answer 1

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., 512 is a perfect cube.

Thus the required smallest number is 2.

Hope this would help you....

Answer 2

Answer:

Step-by-step explanation:256 - 2*2*2* 2*2*2* 2*2

Here ,two 2are left which are not in a triplets.to make 256 a cube,one more 2 is required