the number 105 does -
1, 3, 5, 7, 15, 21, 35, 105
8 (1,2,4,8)
24
88 has exactly eight factors (1, 2, 4, 8, 11, 22, 44 & 88)
Indeed, the number 16 has 5 factors, 1, 2, 4, 8, and 16.
Well, If we looked at this way: (224) = 16777216, so this number has exactly 24 factors. (324) = 282429536481, so this number has exactly 24 factors. (510)(210)(34) = 810000000000, so this number has exactly 24 factors.
8
Oh, dude, the least number with exactly 8 factors is 24. It's like, got factors 1, 2, 3, 4, 6, 8, 12, and 24. So, yeah, that's the magic number with just the right amount of factors to make it cool.
8 (1,2,4,8)
24
88 has exactly eight factors (1, 2, 4, 8, 11, 22, 44 & 88)
64 is the least number having exactly 7 factors: 1, 2, 4, 8, 16, 32, and 64.
8, 2*2*2
There are an infinite number of them. 8 has three prime factors, 30 is the first with three distinct prime factors.
Any composite number. Examples: 4 and 9 . . . (three factors) 6, 8, and 10 . . . (four factors) 12 . . . (six factors) 60 . . . (twelve factors)
A prime number has exactly two factors.
Indeed, the number 16 has 5 factors, 1, 2, 4, 8, and 16.
The numbers between 10 and 30 that have exactly 5 factors are 16 and 25. The number 16 has factors 1, 2, 4, 8, and 16. The number 25 has factors 1, 5, 25, but since it is a perfect square, it also includes the repeated factor of 5. These are the only two numbers between 10 and 30 that have exactly 5 factors.