No, not all prime numbers are odd.
Understanding Prime Numbers
A prime number is a whole number greater than 1 that has only two divisors: 1 and itself. This means it's not divisible by any other whole number without leaving a remainder.
Examples of Prime Numbers: 2, 3, 5, 7, 11, 13, 17...
The Exception: 2
The number 2 is unique because it is the only even prime number. All other prime numbers are odd. This is because any even number larger than 2 is divisible by 2, and therefore, by definition, not prime.
Why is 2 an exception? Because it's the only even number that is only divisible by 1 and itself.
Why Other Prime Numbers Are Odd
If a number is even (meaning it's divisible by 2), then it's automatically divisible by 2 and 1. This makes it composite (not prime) unless it’s 2 itself.
Therefore, every prime number greater than 2 is necessarily odd.
Several sources confirm this: GeeksforGeeks, Quora, Study.com, and others all state that 2 is the only even prime number. All other primes are odd.
