Question

is 6750 a perfect cube? If not, then by which smallest natural number should 6750 be
divided so that the quotient is a perfect cube?​

Answer 1

Answer:

2

Step-by-step explanation:

by prime factorization method

divide with 3,u can get 3 times

divide with 5,u can get 3 times

the remaining is 2

in the cubes we consider 3 times a same number as 1

so answer is 2

Answer 2

Step-by-step explanation:

You can check whether 6750 a cube or not by prime Factorisation method.

Prime Factorising 6750,

2 | 6750

5 | 3375

5 | 675

5 | 135

3 | 27

3 | 9

3 | 3

Thus, 6750 = 2 × 3×3×3 × 5×5×5

Since 2 is left unpaired, 6750 should be divided by 2 to make it a perfect cube.