Question

find the cube root of 328509 by prime factorization method​

Answer 1

Answer:The first step in finding the cube root of 27000 by prime factorization method is to write 27000 as the product of its prime numbers.

i.e. 27000 = 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5

Now, we have to group these factors such that each group contains three equal factors.

27000 = (2 × 2 × 2) × (3 × 3 × 3) × (5 × 5 × 5)

27000 = 23 × 33 × 53

By taking the cube root on both sides,

3√27000 = 3√(23 × 33 × 53) = 2 × 3 × 5 = 30

Step-by-step explanation: mark me as brainliest

Answer 2

Answer:

328509

= 3× 109503

=3×3×36501

=3×3×3×12167

=3×3×3×23×529

=3×3×3×23×23×23

$({3 \times 23})^{3} \\ = {69}^{3}$