Can a number greater than 100 have only 1 number in it's prime factorization?
Yes. Any prime number greater than 100 has only itself in its
prime factorization.
Examples:
The prime factorization of 101 is 101.
The prime factorization of 109 is 109.
The prime factorization of 127 is 127.
The prime factorization of 311 is 311.
The prime factorization of 691 is 691.