You cannot list all the potential prime factors. Any prime number can be a prime factor. There are an infinite number of prime numbers, so there are an infinite number of potential prime factors. If given a specific number, the prime factors for it can be listed.
All numbers have factors. Some factors are prime numbers. These are known as prime factors. The set of prime factors is a subset of the set of factors for any given number.
The number 1 and the prime number itself
Once all the prime factors of a number have been found, the number of factors the number has and what they are can be found. I'd be finding the prime factors first before finding all the factors of a number, so I'd rather find all the prime factors as it means I can stop before I have to do more work in finding all the factors.
All prime squares have three factors.
That's the prime factorization.
All non-zero numbers have factors. Some factors are prime numbers. Prime factors are factors that are prime numbers.
All prime numbers have only 2 factors. A prime number has 1 and itself as its only factors.
The number 1 and the prime number itself.
All numbers have factors. Some factors are prime numbers, some are composite numbers, one is neither. When finding the factors of a number, you find all the factors. The prime factorization is a multiplication string of just prime factors that will total the given number.
The prime factorization.
It is always 1 and the prime number itself.