108109is an odd number,as it is not divisible by 2
The factors for 108109 are all the numbers between -108109 and 108109 , which divide 108109 without leaving any remainder. Since 108109 divided by -108109 is an integer, -108109 is a factor of 108109 .
Since 108109 divided by -108109 is a whole number, -108109 is a factor of 108109
Since 108109 divided by -1 is a whole number, -1 is a factor of 108109
Since 108109 divided by 1 is a whole number, 1 is a factor of 108109
Multiples of 108109 are all integers divisible by 108109 , i.e. the remainder of the full division by 108109 is zero. There are infinite multiples of 108109. The smallest multiples of 108109 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 108109 since 0 × 108109 = 0
108109 : in fact, 108109 is a multiple of itself, since 108109 is divisible by 108109 (it was 108109 / 108109 = 1, so the rest of this division is zero)
216218: in fact, 216218 = 108109 × 2
324327: in fact, 324327 = 108109 × 3
432436: in fact, 432436 = 108109 × 4
540545: in fact, 540545 = 108109 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 108109, the answer is: yes, 108109 is a prime number because it only has two different divisors: 1 and itself (108109).
To know the primality of an integer, we can use several algorithms. The most naive is to try all divisors below the number you want to know if it is prime (in our case 108109). We can already eliminate even numbers bigger than 2 (then 4 , 6 , 8 ...). Besides, we can stop at the square root of the number in question (here 328.799 ). Historically, the Eratosthenes screen (which dates back to Antiquity) uses this technique relatively effectively.
More modern techniques include the Atkin screen, probabilistic tests, or the cyclotomic test.
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