Question

Find the smallest number by which 3136 must be multiplied.

Answer 1

Solution-: i think you are asking about perfect cube .

1st we will find the prime factors of 3136 we get
3136= 2*2*2*2*2*2*7*7

We see that twos are in the tripletes but 7 does not , so to make it triple we will multiply it by 7 so that we could get perfect cube.
So the answer will be 7 .
7 is the smallest number when multiplied with 3136 to make it perfect cube.