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Using Prime Factorization Method, Find Which of the Following Numbers Are Perfect Square? 3549

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Question

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

3549

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Solution

 3549 = 3 x 7 x 13 x 13 

Grouping them into pairs of equal factors:
3549 = (13 x 13) x 3 x 7
The last factors, 3 and 7 cannot be paired. Hence, 3549 is not a perfect square.

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Chapter 1: A Squares - Exercise 3.1 [Page 4]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 8
Chapter 1 A Squares
Exercise 3.1 | Q 6.8 | Page 4

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