6750 is the given number

after prime factorisation we obtain 2*3*3*3*5*5*5

then with which number we must divide or multiply so as to get the perfect cube..............

Prime factorization of 6750 = 2 × 3 × 3 × 3 × 5 × 5 × 5

Here in prime factorization there are three 3's and three 5's and one 2.

So, in order to make it a perfect cube we will divide by 2 so that we left with 3 × 3 × 3 × 5 × 5 × 5 which is equal to 3375 which is alternatively a perfect cube of 15.