Question

How to find the cube root of - 274 4 by prime factorization?

Answer 1

2 | -2744
2 | -1372
2 | -686
7 | -343
7 | -49
7 | -7
7 | -1
-1 | 1

$\sqrt[3]{ - 2744} = \sqrt[3]{2 \times 2 \times 2 \times 2 \times 7 \times 7 \times 7 \times - 1}$
$\sqrt[3]{ - 2744} = 2 \times 7 \times - 1 = - 14$