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
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
A smaller 3 digit number or a 2 digit number (99).
The largest one digit number that has three factors is 9. Its factors are 1, 3, and 9.
The squares of most 2 digit prime numbers. For example 2809, which is the square of 53, has 3 factors : 1, 53 and 2809 itself.
240
840
The one digit number that has the same number of factors as the number six is three. Six's factors are 1, 2, 3, and 6 while three's factors are 1 and 3. Therefore, both numbers have the same number of factors.
625 has five factors.
There are many 4 digit numbers having 3 and 11 as factors. One of them is 1089 whose factors are 3,3,11,11.
There are none but the smallest 3 digit number is 161
100
9409
One way to do this is multiply 8x3=24 so 24 has both as factors. Now multiply it by 10 and you have 240. That is a 3 digit number and sill has 8 and3 as factors.
Using prime factorization, there are 2 three digit numbers with 9 factors: 512 and 768. There are no three digit numbers with 10 or more prime factors. 512=2^9 and 768=3*2^8