By which least number should 5000 be divided so that it becomes a perfect square?
Prime factorization of 5000 = $$2^3\times5^4$$
Now, to make it a perfect square, all the powers should be even, but clearly power of 2 is 3, which is odd.
Thus, least number that should be divided by 5000 so that it becomes a perfect square = 2
=> $$\frac{5000}{2}=2500=(50)^2$$
=> Ans - (A)
Create a FREE account and get:
