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What is the least positive integer that has exactly 13 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).
What is the smallest number that has 4 different prime factors?
The smallest prime factors are 2,3,5,7 thus the smallest number would be the product of these will be 210
What number has 20 factor and it the smallest number?
240 is the smallest number with twenty factors.
What 4 digit number has the factors 7 and 13?
9991
What is a number with exactly 13 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.
