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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*3
Subtract 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).
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What is the least positive integer that has 6 8 and 10 as factors?
120
What is the least number that has three different prime factors?
If by "least number" you mean "smallest positive integer", then the answer is the product of the three smallest primes: 2x3x5 = 30
What is the least positive integer x for which 594x is the cube of an integer?
x = 484
Is 791 composite or prime?
Yes, it is prime.791 is a composite number because it has at least one positive factor other than one or itself.
What is a factor and a multiple in relation to LCF LCM?
The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. Factors go into numbers, numbers go into multiples.
