Question

Question 1(vii)
Find the cube root of each of the following numbers by prime factorization method:
110592

Answer 1

$110592\sqrt[3]{3110592}=\sqrt[3]{32\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 3\times 3\times 3}=2\times 2\times 2\times 2\times 3=48$
$\begin{array}{cc}2& 110592\\ 2& 55296\\ 2& 27648\\ 2& 13824\\ 2& 6912\\ 2& 3456\\ 2& 1728\\ 2& 864\\ 2& 432\\ 2& 216\\ 2& 108\\ 2& 54\\ 3& 27\\ 3& 9\\ 3& 3\\ & 1\\ & \end{array}$