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
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If you're asking about distinct prime factors, there are eight numbers tied with three of them. If not, 64 has six twos.
60, 72, 84, 90 and 96 each have twelve factors.
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.
Well, honey, the 2-digit number that takes the cake for having the most factors is 60. It's like the social butterfly of numbers, with a whopping 12 factors strutting its stuff. So, if you want a number that's popular with all the other numbers, 60 is your go-to.
There is NO number with the most number of factors.