Question

cube root of 17576 by prime factorisation method

Answer 1

The prime factors of 17576 are

2^3 * 13^3

Answer 2

Answer:

$\sqrt[3]{17576}=26$

Step-by-step explanation:

Given : Number 17576.

To find : Cube root of 17576 by prime factorization method?

Solution :

Prime factor of the number

$17576=2 \times 2 \times2 \times13 \times13\times 13$

$17576=2^3 \times13^3$

$17576=26^3$

$\sqrt[3]{17576}=26$

Which means the cube root of 17576 is 26.