Question

Find the cube root of each of the following natural numbers:
$2744$

Answer 1

Step: Find the cube root of $2744$

Resolving $2744$ into prime factors

$\begin{array}{cc}2& 2744\\ 2& 1372\\ 2& 686\\ 7& 343\\ 7& 49\\ 7& 7\end{array}$

$2744=2\times 2\times 2\times 7\times 7\times 7$
$\therefore \sqrt[3]{32744}=2\times 7$
$=14$

Hence, the cube root of $2744$ is $14$.