Question

Find the square root of $529$ by prime factorization method.

Answer 1

Step 1: Find the prime factors

The prime factors of $529$ are

$529=23\times 23$

Step 2: Find the square root

The square root of $529$ is

$$\begin{gathered} 529=23\times 23 \\ \Rightarrow \sqrt{529}=\sqrt{23\times 23} \\ \Rightarrow \sqrt{529}=23 \end{gathered}$$

Hence, the square root of $529$ is $23$.