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Question
Using prime factorization method, find which of the following numbers are perfect square?
2916
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Solution
2916 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3
Grouping them into pairs of equal factors:
2916 = (2 x 2) x (3 x 3) x (3 x 3) x (3 x 3)
There are no left out of pairs. Hence, 2916 is a perfect square.
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