# Divisors of 109

## Divisors of 109

The list of all positive divisors (that is, the list of all integers that divide 22) is as follows :

Accordingly:

109 is multiplo of 1

109 has 1 positive divisors

## Parity of 109

109is an odd number,as it is not divisible by 2

## The factors for 109

The factors for 109 are all the numbers between -109 and 109 , which divide 109 without leaving any remainder. Since 109 divided by -109 is an integer, -109 is a factor of 109 .

Since 109 divided by -109 is a whole number, -109 is a factor of 109

Since 109 divided by -1 is a whole number, -1 is a factor of 109

Since 109 divided by 1 is a whole number, 1 is a factor of 109

## What are the multiples of 109?

Multiples of 109 are all integers divisible by 109 , i.e. the remainder of the full division by 109 is zero. There are infinite multiples of 109. The smallest multiples of 109 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 109 since 0 × 109 = 0

109 : in fact, 109 is a multiple of itself, since 109 is divisible by 109 (it was 109 / 109 = 1, so the rest of this division is zero)

218: in fact, 218 = 109 × 2

327: in fact, 327 = 109 × 3

436: in fact, 436 = 109 × 4

545: in fact, 545 = 109 × 5

etc.

## Is 109 a prime number?

It is possible to determine using mathematical techniques whether an integer is prime or not.

for 109, the answer is: yes, 109 is a prime number because it only has two different divisors: 1 and itself (109).

## How do you determine if a number is prime?

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 109). 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 10.44 ). 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.