Are all odd numbers prime, true or false?

Understand the Problem

The question is asking whether the statement 'all odd numbers are prime' is true or false. To address this, we need to consider the definitions of odd numbers and prime numbers. An odd number is any integer that is not divisible by 2, while a prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. The question likely leads to the observation that not all odd numbers, like 9, are prime.

More Information

There are many odd numbers that are not prime, such as 9, 15, etc. Additionally, 2 is the only even prime number.

Tips

A common mistake is to assume that if a number is odd, it must be prime. Always check for factors other than 1 and the number itself.

Sources

• All odd numbers are prime numbers. Is this statement true or false? - doubtnut.com
• Is every odd number a prime number? - quora.com
• All prime numbers are odd. given statement is true/false - byjus.com