Question
Find the square root of the following by prime factorization.
529
529
✓
Answer
Resolving 529 into prime factors,
529 = 23 × 23
$\begin{array}{c|c}23& 529 \\ \hline 23 & 23 \\\hline &1\end{array}$
Grouping the factors into pairs of equal factors,
529 = (23 × 23)
Taking one factor for each pair, we get the square root of 529 as 23
529 = 23 × 23
$\begin{array}{c|c}23& 529 \\ \hline 23 & 23 \\\hline &1\end{array}$
Grouping the factors into pairs of equal factors,
529 = (23 × 23)
Taking one factor for each pair, we get the square root of 529 as 23
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