No. Since 2 is a prime and any number multiplied by an even is even, the product of all primes must be even.
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No, because 2 is prime. Otherwise the product of two odds is odd, and all primes are odd except 2.
They are all odd, and they are all prime numbers
All of the prime numbers are odd except for two.
Except for 2 all other prime numbers are odd. Otherwise, they would be divisible by 2 (and thus not a prime number). This does NOT mean that all odd numbers are prime, but that all prime numbers (aside from 2) are odd.
The product of multiplication results in a number that has all of the factors of the two numbers being multiplied. All even numbers have the prime factor 2. Since no odd number has the factor 2, no product of those numbers can have it. So: - Odd numbers times odd numbers produce odd numbers. - Odd numbers times even numbers produce even numbers. - Even numbers times even numbers produce even numbers.