Question

Find the cube root by prime factorisation 17576

Answer 1

17576 = 2 x (8788) = 2 x 2 x (4394) = 2 x 2 x 2 x (2197) = 2 x 2 x 2 x (13) x (13) x (13) = [2 x (13)] x [2 x (13)] x [2 x (13)] = (26) x (26) x (26) = (26)3

Answer 2

Answer:

39

Step-by-step explanation:

Given : Number =17576

To Find:Find the cube root by prime factorization 17576

Solution:

Prime factorization:

2 | 17576

2 | 8788

2 | 4394

13| 2197

13| 169

13| 13

  | 1

So, $17576=2 \times 2 \times 2 \times 13 \times 13 \times 13$

$17576=2^3 \times 13^3$

$\sqrt[3]{17576}=\sqrt[3]{2^3 \times 13^3}$

$\sqrt[3]{17576}=3 \times 13$

$\sqrt[3]{17576}=39$

So,  the cube root by prime factorization 17576 is 39