Question

17.576 ka prime factorization method​

Answer 1

We express the number 17576 as a product of prime numbers. = 26 × 26 × 26. This shows that −17567 = (−26) × (−26) × (−26). Thus −17576 ​ =(−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