A natural number k is such that k^ 2 < 2014 < (k + 1)^2 . What is the largest prime factor of k?
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There is a typo in the question. It should be k^2 NOT k 2. 2 0 1 4 = 4 4 . 8 . . . . S o k = 4 4 a n d l a r g e r p r i m e m u m b e r 1 1 .
I think the level and points are high.