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Question
Using prime factorization method, find which of the following numbers are perfect square?
2048
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Solution
2048 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Grouping them into pairs of equal factors:
2048 = (2 x 2) x (2 x 2) x (2 x 2) x (2 x 2) x (2 x 2) x 2
The last factor, 2 cannot be paired. Hence, 2048 is not a perfect square.
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