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CBSE Class 10 Answered

Prove that a positive integer n is prime number, if no prime p less than or equal to root n divides n
Asked by keshvi.aggarwal | 20 Mar, 2020, 01:42: PM
answered-by-expert Expert Answer
Consider any integer n ≥ 0 is a composite number.
so, n =p.b
assume , p ≤ b
Now n > √n
assume,
p > √n
b > √n
so, p.b > √n .√n
so, n > n which is a contradiction.
hence, our assumption was wrong.
Answered by Arun | 20 Mar, 2020, 04:36: PM
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