Question

The two numbers which have only 1 as their common factor are called as
A) Co-primes
B) Twin prime
C) Composite
D) None of these

Answer 1

Hint: As the question is related to the co-prime concept, we first need to understand the concept of prime numbers. A prime number is a number which has only 2 factors. first is 1 and the second is itself. they can’t be divided by other numbers. We’ll use this concept to answer this question.

Complete step by step solution: We know that prime numbers are the numbers which have, 1 and the number itself as factors. All other natural numbers other than 1 which is not a prime number are composite numbers.
Twin prime numbers are pair of prime numbers with a difference of 2 between them. For example, 17, 19 is a twin prime.
Co- primes are any two numbers having only 1 as their common factor. The converse is also correct. In a pair of co-prime numbers, the numbers can be both prime and composite numbers.
So, the required solution is co primes.

Therefore, the correct answer is option A.

Note: Twin prime numbers also have only common factor 1. But its converse is not correct. Two numbers having only common factor 1 need not be twin prime. We can also say that all twin primes are co-primes but all co-primes are no twin primes. An example of a twin prime pair is 13 and 31.