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Using Prime Factorization Method, Find Which of the Following Numbers Are Perfect Square? 2916 - Mathematics

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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APPEARS IN

RD Sharma Class 8 Maths
Chapter 3 Squares and Square Roots
Exercise 3.1 | Q 6.6 | Page 4
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