Question

find the smallest number by which 65100 should be divided to get a perfect cube.
Explain​

Answer 1

Answer:

the prime factorization of  65100 =

2 x 2 x 3 x 5 x 5 x 7 x 31

and none of digit have the pair of 3 hence the smallest no by which it should divide is 65100

which will  give

65100/65100 = 2 x 2 x 3 x 5 x 5 x 7 x 31 /65100

1 cube = 1*1*1 = 1