Yes, 2 is prime because it only divides by 1 and itself.
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Two is already prime. No factorization.
It is impossible for the product of two prime numbers to be prime. It is impossible for the sum of two prime numbers to be prime as long as one of the numbers isn't 2.
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19 is a prime number and so there are no two prime factors.
There are no such two prime numbers, as 167 is a prime number itself.