512 has 9 prime factors
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The largest one digit number that has three factors is 9. Its factors are 1, 3, and 9.
49
4 : with factors 1, 2 and 4
A smaller 3 digit number or a 2 digit number (99).
If factors include 1 and the number itself then the any number (n) with only 4 factors has to be the product of two prime numbers, p1 and p2. The factors are then n, p1, p2, and 1. The largest 3-digit number with only 4 factors is 998. The factors are 998, 499, 2 and 1