Guna says, 'Any two prime numbers are co-prime'. Is he right?
Yes, Guna is right.
Definition: Co-prime numbers are numbers that have no common factor other than 1.
Property: Each prime number has exactly two factors: 1 and itself.
Reasoning: Two different prime numbers cannot share any factor other than 1.
∴ Any two different prime numbers are co-prime.
Explanation
The chapter defines co-prime numbers as numbers that have no common factor other than 1. Prime numbers have exactly two factors: 1 and the number itself. Two different prime numbers can only share the factor 1, since each prime is unique and has no other factors. Therefore, any two different prime numbers are co-prime.
Solution Steps
Co-prime numbers are numbers that have no common factor other than 1.
Prime numbers have exactly two factors: 1 and the number itself.
Two different prime numbers can only share the factor 1.
Therefore, any two different prime numbers are co-prime.