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Using Prime Factorization Method, Find Which of the Following Numbers Are Perfect Square? 343

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Question

Using prime factorization method, find which of the following numbers are perfect square?

 343

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Solution

343 = 7 x 7 x 7 

Grouping them into pairs of equal factors:
343 = (7 x 7) x 7
The last factor, 7 cannot be paired. Hence, 343 is not a perfect square.

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