Q.2. Find the square root of 144 by prime factor method.
Ans. Find the the prime factors of the given number and put them in pairs of
equal numbers.
144 = 2 x ( )
= 2 x 2 x ( )
= 2 x 2 x 2 x ( )
= 2 x 2 x 2 x 2 x 3 x 3
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Answer:
As we know,144 is a perfect square. We can see 2 pairs of 2 and 1 pair of 3 in the above given prime factors of 144. Hence, the square root of 144 is 12.
...
On the other hand, 72 is a composite number that can easily be factored further. ...
Therefore, the factors of 144 can be written as 2 ×2 × 2 × 2 × 3 × 3 × 1.
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