Question

Find the smallest number by which 8192 must be divided to get a perfect cube

Answer 1

Answer:

Here's your answer...

The given number is 8192

we have to do prime factorization

8192 - 2^13

8192 - 2^3 * 2^3 * 2^3 * 2^3 * 2^1

The power of 2 is 1

To become a perfect cube....The power should be 3

The power of remaining 2's is 3

But the power of one 2 is 1

So....it should be divided with 2

2 should be divided with 8192 to become perfect cube...

________________________________________

HOPE THIS HELPS YOU....