1. By which least number should 5000 be divided so that it becomes a perfect square?
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By: anil on 05 May 2019 01.47 am
Prime factorization of 5000 = $$2^3 imes5^4$$ 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)
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