Question

Find the smallest number by which 7623 must be divided to get a perfect square.

Answer 1

$\text{Prime factorization of 7623:}$
$$\begin{array}{cc}3& 7623\\ 3& 2541\\ 11& 847\\ 11& 77\\ & 7\end{array}$$ (1.5 marks)
$\therefore 7623=3^2\times {11}^2\times 7$ (0.5 marks)

$\text{Since 7 is not paired, 7623 when}\text{divided by 7, will give a perfect square.}$ (0.5 marks)

$\text{Therefore, 7 is the smallest number to}\text{be divided.}$ (0.5 marks)