Question

Find the least number by which 750 should be divided to get a perfect cube.

Answer 1

Answer:

Step-by-step explanation:

: Prime factorization of 750= (2 * 3 * 5 * 5 * 5)

To make it perfect cube we should multiply with (2 * 2) * (3 * 3) = 36.

Answer 2

Step-by-step explanation:

Factors of 750 = 2×3×5×5×5

Here, we observe that 2 and 3 are not in triplets

so, 2×3 =6 must be divided to get a perfect cube

Now, obtained number = 750/6 = 125

and we know that 125 is a perfect cube

THANKS