The definition of a Prime number is a number which has only two factors: 1 and itself. All prime numbers have only two factors: one and themselves. So, asking "What is a prime number that has only 2 factors one and itself" is like asking "What is a type of cocker spaniel that is a dog?"
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2 is a prime number because its only factors are one and itself. Since 2 is a prime number, if it is a factor of your number, it is a prime factor.
a prime number
7 is a prime number and therefore its only prime factor is itself.7 is already prime. Its only prime factor is itself.
There is no factorization. 37 is a prime number.37 is already prime. Its only prime factor is itself.
5 is a prime number. It is only evenly divisible by itself and one.5 is a prime number, so the only prime factor of 5 is itself.5 is already a prime number; it has no factorization.