Question

Question 6 (iv)

For the following number, find the smallest whole number by which it should be divided so as to get a perfect square. Also, find the square root of the square number so obtained:

2645

Answer 1

$2645=5\times 23\times 23$

Here, prime factor 5 has no pair. Therefore

2645 must be divided by 5 to make it a perfect square.

$2645÷5=529$
And $\sqrt{529}=\sqrt{23\times 23}=23$

$\begin{array}{cc}5& 2645\\ 23& 529\\ 23& 23\\ & 1\end{array}$