the four smallest numbers are 4, 9, 25 and 49.
4, 9 and 25.
2 4 6
1024 has exactly eleven. 60 has twelve, so it has eleven as well.
The smallest is 192 but there are infinitely many such numbers. For example, take any prime number to the 13th power and the result will have exactly fourteen factors. The smallest is 192.
4 and 9
Numbers with exactly three factors are squares of prime numbers.
Squares of prime numbers have exactly three factors.
The smallest number which is exactly divisible by the numbers 8 9 and 10 is 360.
All numbers that are the square of primes have exactly 3 factors.
All numbers that have exactly two factors are prime numbers whereas composite numbers have more than 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).
12