Question

Find the cube root of 91125 by Prime factorization​

Answer 1

Answer:

By prime factorization method, we get

91125 = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5

By grouping the factors in triplets of equal factors,

91125 = (3×3×3)×(3×3×3)×(5×5×5)

Here, 91125 can be grouped into triplets of equal factors.

∴ 91125 = (3×3×5) = 45

Hence, 45 is the cube root of 91125