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
24edit: nonethe smallest number with 12 distinct factors would be2*3*5*7*11*13*17*19*23*29*31*37>>100
The smallest number that can be divided by 2, 3, and 4 without leaving a remainder is the least common multiple (LCM) of these numbers. To find the LCM, we need to identify the prime factors of each number. The prime factors of 2 are 2, 3 is 3, and 4 is 2 x 2. The LCM is the product of the highest power of each prime factor that appears in any of the numbers, so the LCM of 2, 3, and 4 is 2 x 2 x 3 = 12. Therefore, the smallest number that can be divided by 2, 3, and 4 without leaving a remainder is 12.
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