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).
9991
The smallest prime factors are 2,3,5,7 thus the smallest number would be the product of these will be 210
240 is the smallest number with twenty factors.
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.
4096
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).
Well, isn't that a happy little question! The smallest number with 16 factors is 60. You see, when you break down 60 into its prime factors (2, 2, 3, 5), you can use the formula (a+1)(b+1)(c+1)... where a, b, c are the exponents of the prime factors to find the total number of factors.
9991
The smallest prime factors are 2,3,5,7 thus the smallest number would be the product of these will be 210
11
240 is the smallest number with twenty factors.
Every number has factors. They are endless.
The smallest number that has exactly eight factors is 24. The factors of 1,2,3,4,6,8,12, and 24
which is the smallest number 13 0.13 0.103 1.3
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.