Question

Find the cube root by prime factorization of $1331$

Answer 1

Find the cube root by prime factorization

Given, $1331$

$$\begin{gathered} \begin{array}{cc}11& 1331\\ 11& 121\\ 11& 11\\ & 1\end{array} \\ \Rightarrow 1331={11}^3 \\ \Rightarrow \sqrt[3]{1331}=11 \end{gathered}$$

Therefore, the cube root of $1331$ is $11$