A natural number k is such that k? < 2014 < (k + 1)2. What is the largest prime factor of k ?​

Question

A natural number k is such that k? < 2014 < (k + 1)2.
What is the largest prime factor of k ?​

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Amelia 3 weeks 2021-09-07T03:06:00+00:00 1 Answer 0 views 0

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    2021-09-07T03:07:51+00:00

    In this case we have to find a largest perfect square less than 2014 which is 1936.  

    As √1936=44 hence k+1=45

    44=2×2×11

    Hence, largest prime factor of k is 11.

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