Question

What is the cube root of 39304 with prime factorization method

Answer 1

Prime Factorisation of 39304

39304=2×2×2×17×17×17

$\sqrt[3]{39304} = \sqrt[3]{2 \times 2 \times 2 \times 17 \times 17 \times 17} \\ = 2 \times 17 \\ = 34$

Answer 2

Prime Factorisation of 39304

39304=2×2×2×17×17×17

$\begin{lgathered}\sqrt[3]{39304} = \sqrt[3]{2 \times 2 \times 2 \times 17 \times 17 \times 17} \\ = 2 \times 17 \\ = 34\end{lgathered}$

Or

$\begin{array}{r | l}</p><p>2 & 39304 \\</p><p>\cline{2-2} 2 & 19652 \\</p><p>\cline{2-2} 2 & 9826 \\</p><p>\cline{2-2} 17 & 4213 \\</p><p>\cline{2-2} 17 & 289 \\</p><p>\cline{2-2} & 17</p><p>\end{array}$