Explanation:

To understand why every prime number except 2 is odd, let's first define what a prime number is.

Prime Number:
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. In other words, a prime number cannot be divided evenly by any other number except 1 and itself.

Odd Number:
An odd number is an integer that is not divisible by 2. In other words, it leaves a remainder of 1 when divided by 2.

Proof:
1. Let's consider the prime number 2. It is the only even prime number because it is the only prime number that is divisible by 2.
2. All other prime numbers are odd. To understand why, let's consider a prime number greater than 2.
3. Let's assume that there exists a prime number p greater than 2 that is even. This means that p can be written as p = 2k, where k is an integer.
4. If p is even, then p is divisible by 2. But a prime number, by definition, cannot have any divisors other than 1 and itself. Therefore, our assumption that p is even leads to a contradiction.
5. Since all prime numbers are not divisible by 2, they must be odd.

Conclusion:
Every prime number except 2 is odd. This is because 2 is the only even prime number, while all other prime numbers are not divisible by 2 and hence, are odd.