No. 24 has 3 as a factor. 30 has 15 as a factor.
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All prime numbers are not odd numbers. 2 is an even prime number, and it is the only even prime number because all other even numbers have 2 as one of their factors.
2 is the only even prime number. All other even numbers have more than two factors.
There are square numbers (numbers which are a square of an integer), such as 4. It's factors, listed are 1, 2, and 4. All square numbers have an odd number of factors. Then there's 1, which has only 1 factor: 1. All other numbers have an even number of factors. Prime numbers will have only 2 factors (2 is even).
Factors come in pairs. It is only in the case of a square number that the two middle factors are equal and so are counted only once.
Not all prime numbers are odd. There is one prime number that is even: 2. A prime number is a number with two and only two factors: 1 (also known as unity) and itself. A composite number is a number with more than two factors. All even numbers are divisible by 2. Thus, all even numbers have 2 as a factor, which means that all even numbers greater than 2 have more than two factors, so they cannot be prime numbers.