# NCERT Class 8 Mathematics Solutions: Chapter 6 – Squares and Square Roots Exercise 6.3 Part 5

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Question: 6 For each of the following numbers find the smallest whole number by which it should be divided so as to get a perfect square. Also, find the square root of the square number so obtained:

(i) 252

(ii) 2925

(iii) 396

(iv) 2645

(v) 2800

(vi) 1620

(i) 252

 2 252 2 126 3 63 3 21 7 7 1

Here, prime factor 7 has no pair.

Therefore 252 must be divided by 7 to make it a perfect square.

(ii) 2925

 3 2925 3 975 5 325 5 65 13 13 1

Here, prime factor 13 has no pair.

Therefore 2925 must be divided by 13 to make it a perfect square.

(iii) 396

 2 396 2 198 3 99 3 33 11 11 1

Here, prime factor 11 has no pair.

Therefore 396 must be divided by 11 to make it a perfect square.

(iv) 2645

 5 2645 23 529 23 23 1

Here, prime factor 5 has no pair.

Therefore 2645 must be divided by 5 to make it a perfect square.

(v) 2800

 2 2800 2 1400 2 700 2 350 5 175 5 35 7 7 1

Here, prime factor 7 has no pair.

Therefore 2800 must be divided by 7 to make it a perfect square.

And

(vi) 1620

 2 1620 2 810 3 405 3 135 3 45 3 15 5 5 1

Here, prime factor 5 has no pair.

Therefore 1620 must be divided by 5 to make it a perfect square.

And