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Q: What is the least whole number with exactly 2 different factors?
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What is the least number with exactly 8 factors?

The smallest number with exactly eight factors is 24.


What is the least number that has exactly 7 factors?

64 is the least number having exactly 7 factors: 1, 2, 4, 8, 16, 32, and 64.


What is the least number that has exactly 9 factors?

100.....1,2,4,5,10,20,25,50,100


What is the least three digit number that has exactly five factors?

625


What calendar dates have exactly two different factors?

None since 2014 is an even number so the date will be composite. Composite numbers have at least three factors.


What is the least whole number with exactly 4 different factors?

If you disregard 1 and the number itself, then 12, with the factors 2, 3, 4 and 6. If you include 1 and the number itself, then 6 with factors 1, 2, 3 and 6.


What is the least whole number that has exactly five factors including one?

16


What is the least whole number that has exactly 7 factors including 1 and itself?

64


What is the least natural number that has exactly 4 distinct odd factors?

3*5*7*9 = 945 ...check if any number less than that has exactly four distinct factors.


What is the least whole number the has two different prime factors?

6


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).


Why is 12543672 not a prime number?

A prime number must have exactly two factors. 12543672 ends in a 2, therefore it can be halved. This means that the factors are at least 1, 2, and 12543672, so it is not a prime number.