Question

Question 6 (v)
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:
2800

Answer 1

$2800=2\times 2\times 2\times 2\times 5\times 5\times 7$

Here, prime factor 7 has no pair. Therefore, 2800 must

be divided by 7 to make it a perfect square.

$2800÷7=400\sqrt{400}=\sqrt{20\times 20}=20$
$\begin{array}{cc}2& 2800\\ 2& 1400\\ 2& 700\\ 2& 350\\ 5& 175\\ 5& 35\\ 7& 7\\ & 1\end{array}$