Maths-
General
Easy
Question
Find the smallest number by which 8075 should be divided to get a perfect number ?
What is the perfect square number so obtained ? Find the square root of this number ?
Hint:
By prime Factorize the given number and we find the number to be divided to get the perfect square.
The correct answer is: 5
we have to divide by 5 to obtain 25 whose square root is 5
Explanation:-
prime factorize 8075
8075 = 5×1615
=5×5×323
=5×5×17×19
=
To get the perfect square the powers of prime numbers in factorization should be divisible by 2. We know is already a perfect square.
So we divide the number by 323 to get the number 25
25 is the perfect square obtained .
The square root of 25 is 5.
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