Maths-
General
Easy
Question
Find the smallest number by which 31752 should be divided to get a perfect square
number ?
The correct answer is: 2
Hint :- By prime Factorize the given number and we find the number to be divided to get the perfect square.
Ans :- 2
Explanation:- prime factorize 31752
31752 =2 × 2 × 7938
= 2 × 2 × 2 × 3969
= 2 × 2 × 2 × 3 × 1323
= 2 × 2 × 2 × 3 × 3 × 441
= 2 × 2 × 2 × 3 × 3 × 3 × 147
= 2 × 2 × 2 3 × 3 × 3 × 3 × 49
= 2
2×3×3×3×3×7×7
=
We know is a perfect square .
If we divide the number 31752 by 2 to get the perfect square .
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