Find the smallest number by which 14295 be divided to get a perfect cube - Maths - Cubes and Cube Roots

Question

Find the smallest number by which 14295 be divided to get a
perfect cube

Shubham Chourasiya · Accepted Answer

Prime factor of 14295= $3 \times 5 \times 953$

For perfect cube , each factors should exactly come 3 times

To get perfect cube it should be divided by $3 \times 5 \times 953$ = 14295.

Then the number will be 1 that is a perfect cube number.

Find the smallest number by which 14295 be divided to get a perfect cube.