840
lots and lots
The largest one digit number that has three factors is 9. Its factors are 1, 3, and 9.
240
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.
The greatest product you can achieve by multiplying a 3-digit number by a 1-digit number is 9720, which comes from multiplying 972 (the largest 3-digit number less than 1000 when divided by 9) by 9 (the largest 1-digit number). Thus, the factors are 972 and 9.
512 has 9 prime 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.