Question
Using prime factorization method, find the following numbers are perfect squares?
343
343
✓
Answer
343 = 7 × 7 × 7
$\begin{array}{c|c} 7& 343 \\ \hline 7 & 49 \\\hline 7&7 \\\hline &1 \end{array}$
Grouping them into pairs of equal factors,
343 = (7 × 7) × 7
The last factor, 7 cannot be paired. Hence, 343 is not a perfect square.
$\begin{array}{c|c} 7& 343 \\ \hline 7 & 49 \\\hline 7&7 \\\hline &1 \end{array}$
Grouping them into pairs of equal factors,
343 = (7 × 7) × 7
The last factor, 7 cannot be paired. Hence, 343 is not a perfect square.
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