Find the square root of the following by prime factorization. 529 - Vidyadip

Question

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

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Answer

Resolving $529$ into prime factors, $529 = 23 \times 23$
$\begin{array}{c|c}23& 529 \\ \hline 23 & 23 \\\hline &1\end{array}$
Grouping the factors into pairs of equal factors, $529 = (23 \times 23)$
Taking one factor for each pair, we get the square root of $529$ as $23$

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