Question

The smallest number with which 1188 should be divided to get a perfect cube is

• A. 24
• B. 44
• C. 54

Answer 1

The correct option is B 44

By prime factorisation,
$\begin{array}{cc}3& 1188\\ 3& 396\\ 3& 132\\ 2& 44\\ 2& 22\\ & 11\end{array}$
$1188=3\times 3\times 3\times 2\times 2\times 11=3^3\times 2^2\times 11=3^3\times 44$
If we divide the given number by 44, the resultant will be a perfect cube.
$\frac{1188}{44}$ = 27 = $3^3$