Question
Find the square root of the following by prime factorization.8281
✓
Answer
Resolving 8281 into prime factors,8281 = 7 × 7 × 13 × 13
$\begin{array}{c|c}7& 8281 \\ \hline 7 & 1183 \\\hline 13&169 \\\hline13&13 \\\hline&1\end{array}$
Grouping the factors into pairs of equal factors,
8281 = (7 × 7) × (13 × 13)
Taking one factor for each pair, we get the square root of 705
7 × 13 = 91
$\begin{array}{c|c}7& 8281 \\ \hline 7 & 1183 \\\hline 13&169 \\\hline13&13 \\\hline&1\end{array}$
Grouping the factors into pairs of equal factors,
8281 = (7 × 7) × (13 × 13)
Taking one factor for each pair, we get the square root of 705
7 × 13 = 91
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