Question

What number must be multiplied by 5000 to make it a perfect cube

Answer 1

make its factors
which are
2x2x2x5x5x5x5
for making cube
consider triplets
2x2x2 and 5x5x5 
now the remaining number is 5
now
make cube by multiplying 5x5
now ur number will be 125000
which is a perfect cube

Answer 2

LCM of 5000 = 2×2×2×5×5×5×5
we require 25 to make it a perfect cube
therefore 5000 must be multiplied with 25 to become a perfect cube