97 has two factors.
16, which is the square of 4, is a two digit even number.
63? But it has more than two one-digit factors.
63
25
24
36
63.
The two-digit factors of 100 and 1000 are all composite.
The first 2 digit integer is 10. This is an even number and is therefore the answer.
101 is the first three-digit prime number.
Both 10 and 20 are two-digit numbers that are factors of 20.