1 is special. In all classes I've taken, it's been considered not a Prime number.
As for a prime factor, you wouldn't include it in factoring.
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32 has one prime factor: 232 has only one prime factor: 2
No prime number only has one factor. Each prime number has itself and 1 as factors. Now, the number 1 of course has only one factor, but it is technically not a prime number.
Since prime numbers only have one prime factor (themselves), factor trees are unnecessary.
Prime numbers.
Because one isn't a prime number.