Q. 64.0( 112 Votes )

For each of the f

Answer :

(i) 252 can be factorized as follows:

252 = 2 x 2 x 3 x 3 x 7


Here, prime factor 7 does not have its pair

If we divide this number by 7, then the number will become a perfect square.

Therefore, 252 has to be divided by 7 to obtain a perfect square


is a perfect square


36 = 2 x 2 x 3 x 3



= 6


(ii) The prime factorization of 2925 is as follows:


2925 = 3 x 3 x 5 x 5 x 13

Here, prime factor 13 does not have its pair

If we divide this number by 13, then the number will become a perfect square.


Therefore, 2925 has to be divided by 13 to obtain a perfect square


is a perfect square


225 = 3 x 3 x 5 x 5



= 15


(iii) The prime factorization of 396 is as follows:


396 = 2 x 2 x 3 x 3 x 11

Here, prime factor 11 does not have its pair

If we divide this number by 11, then the number will become a perfect square.

Therefore, 396 has to be divided by 11 to obtain a perfect square


is a perfect square


36 = 2 x 2 x 3 x 3



= 6


(iv) The prime factorization of 2645 is as follows:


2645 = 5 x 23 x 23


Here, prime factor 5 does not have its pair

If we divide this number by 5, then the number will become a perfect square. Therefore, 2645 has to be divided by 5 to obtain a perfect square

is a perfect square


529 = 23 x 23


= 23


(v) 2800 can be factorized as follows:


2800 = 2 x 2 x 7 x 10 x 10

Here, prime factor 7 does not have its pair

If we divide this number by 7, then the number will become a perfect square. Therefore, 2800 has to be divided by 7 to obtain a perfect square

is a perfect square


400 = 2 x 2 x 2 x 2 x 5 x 5


= 2 x 2 x 5


= 20


(vi) The prime factorization of 1620 is as follows:


1620 = 2 x 2 x 3 x 3 x 3 x 3 x 5


Here, prime factor 5 does not have its pair

If we divide this number by 5, then the number will become a perfect square.

Therefore, 1620 has to be divided by 5 to obtain a perfect square

is a perfect square

324 = 2 x 2 x 3 x 3 x 3 x 3

= 18

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