72 is the second-smallest number with 12 factors.
Its divisors are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.
The smallest number with 12 factors is 60.
Its divisors are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.
24
10, which has the factors 1,2,5 and 10. If the trivial pair 1 and the number itself are disallowed, the answer is 12 with factors 2,3,4 and 6.
Prime factors of 8 are 2 x 2 x 2 Prime factors of 12 are 2 x 2 x 3 LCM of 8 and 12 is 2 x 2 x 2 x 3 = 24
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.
24edit: nonethe smallest number with 12 distinct factors would be2*3*5*7*11*13*17*19*23*29*31*37>>100
12
The smallest number that has 9 and 12 as factors is 36.
12 is as it has 6 factors and is the smallest and first to have. Factors of 12= 1, 2, 3, 4, 6, and 12
12
180
24
12
The smallest possible number to get from 3 and 4 as your factors is 12...
12 is the smallest number to have 6 factors, 1, 2, 3, 4, 6, and 12. There are countless numbers larger than 12 having 6 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).
24 Factors=1, 24, 2, 12, 3, 8, 4 and 6
240 is the smallest number with at least 19 factors. 240 has twenty factors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240 262144 is the smallest number with EXACTLY 19 factors