Question

A natural number k is such that k2 < 2014 < (k + 1)2. What is the largest prime factor of k?

Answer 1

Number K, you have to do its prime factorization. For e.g.

 

Prime factorization of 10 is 10=5*2

 

so the biggest prime factor is 10

 

In any case, the inquiry you asked is something like K^2<2014< (K+1) ^2 in the event that we take K ^ 2 < 2014

 

we get k < + - 44.88… .. So biggest estimation of K is 44

 

we take biggest esteem so we can get biggest prime factor. Prime factorization of 44 is -

 

44 = 2211

 

Thusly biggest prime factor of K is 11.

 

 

Answer 2

Answer:

answer will be 11