Question

State whether the following statement is True or False

If two numbers are co-primes, then at least one of them must be a prime number.

• A. True
• B. False

Answer 1

The correct option is B False

Checking if two numbers are co-primes, then at least one of them must be a prime number.

Co- Primes: If the highest common factor between two numbers is $1$, then the numbers are called Co-Primes.

For example: $3$ and $5$, $11$ and $13$

Lets take one more co-prime numbers as $18$ and $35$

As $18$ and $35$ are co-primes, because H.C.F of both $18$ and $35$ is $1$ but both $18$ and $35$ are not the prime numbers.

Hence, if two of them are co-primes, then at least one of them need not to be a prime number.

Hence, the given statement is False.