All prime squares have exactly three factors.49 has exactly three factors: 1, 7, and 49.
49 has exactly 3 factors (1, 7, and 49) and is greater than 40 and less than 60.
Because a prime number is a number that has exactly two factors: 1 and itself. 60 has 12 factors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.
Any composite number. Examples: 4 and 9 . . . (three factors) 6, 8, and 10 . . . (four factors) 12 . . . (six factors) 60 . . . (twelve factors)
77 is one possibility.
60, 72, 84, 90, and 96 each have 12 factors.
1024 has exactly eleven. 60 has twelve, so it has eleven as well.
A prime number has exactly two factors.
4096 is the smallest number with exactly 13 factors. (Including 1 and itself as factors).192 is the smallest number with exactly 13 properfactors, (excluding the number itself).120 is the smallest number with at least 13 factors (it has 16 factors)To find the smallest number with exactly N factors (for example, N=12):Factor N into primes, (for example, 12= 2*2*3Subtract 1 from each of the prime factors (for example, 1,1,2)Sort them by largest first (for example, 2,1,1)Raise successive prime numbers to these powers (for example, 2^2,3^1,5^1)Multiply these together (for example: 4*3*5 = 60; 60 is the smallest number with exactly 12 factors).
48 has ten factors, 60 and 72 have twelve apiece, 80 is the next one with exactly ten.
The smallest number with exactly eight factors is 24.
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.