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4096 is the smallest one. Since the number of factors depends on the exponents of the prime factors, plus one, multiplied together, the set of numbers that meets the requirements are of the form:

p12, where p is a Prime number.

Q: What is a number with exactly 13 factors?

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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).

Any square of a prime number 13 or greater, like 169.

A prime number has exactly two factors.

A number has exactly three factors if and only if it is the square of a prime number.

143 is composite because it has more than 2 factors. Any number with exactly 2 factors (1 and the number itself) is prime. The factors of 143 are 1, 11, 13, and 143.

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4096

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).

Try 26 whose factors are: 1, 2, 13 and 26

Any square of a prime number 13 or greater, like 169.

A prime number has exactly two factors.

3 5 7 11 13 17 19

Yes, a factor is a number that can be divided exactly into another number with no remainder.

131079 is a composite number; its factors are 1, 3, 13, 39, 3361, 10083, 43693, and 131079. A prime number has exactly two factors, 1 and the number itself.

3315 has four prime factors they are 3, 5, 13, and 17

The smallest number with exactly eight factors is 24.

No, being a prime number it only has two factors - 1 & 13.

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.