Question

Find the smallest multiple of 112 which is a perfect square.

• A. 784

Answer 1

The correct option is A 784
$$\begin{array}{cc}& \\ 2& 112\\ 2& 56\\ 2& \text{28}\\ 2& 14\\ 7& 7\\ & 1\end{array}$$
$112=2\times 2\times 2\times 2\times 7$

Here, only 7 has no pair.
Thus, $112\times 7=784$

Hence, 784 is the smallest multiple of 112 which is a perfect square.