Find the Cube Root of 3375 by Prime Factorization

Answer: Cube root of a number is that value, which when multiplied by itself thrice, produces the original value. 3√ is the symbol for the cube root. The prime factorization method or the long division method can be used to get the cube root of an integer.

We can determine cube root of 3375 by following method:

By the method of prime factorisation, we obtain the following

3375 = 5 × 5 × 5 × 3 × 3 × 3

We can now take the cube root of both the sides to obtain:

3√3375 =  3√5 × 5 × 5 × 3 × 3 × 3

3√3375 = 5 × 3

3√3375 = 15

Hence, cube root of 3375 is 15.