# Divisors of 108

## Divisors of 108

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

Accordingly:

108 is multiplo of 1

108 is multiplo of 2

108 is multiplo of 3

108 is multiplo of 4

108 is multiplo of 6

108 is multiplo of 9

108 is multiplo of 12

108 is multiplo of 18

108 is multiplo of 27

108 is multiplo of 36

108 is multiplo of 54

108 has 11 positive divisors

## Parity of 108

In addition we can say of the number 108 that it is even

108 is an even number, as it is divisible by 2 : 108/2 = 54

## The factors for 108

The factors for 108 are all the numbers between -108 and 108 , which divide 108 without leaving any remainder. Since 108 divided by -108 is an integer, -108 is a factor of 108 .

Since 108 divided by -108 is a whole number, -108 is a factor of 108

Since 108 divided by -54 is a whole number, -54 is a factor of 108

Since 108 divided by -36 is a whole number, -36 is a factor of 108

Since 108 divided by -27 is a whole number, -27 is a factor of 108

Since 108 divided by -18 is a whole number, -18 is a factor of 108

Since 108 divided by -12 is a whole number, -12 is a factor of 108

Since 108 divided by -9 is a whole number, -9 is a factor of 108

Since 108 divided by -6 is a whole number, -6 is a factor of 108

Since 108 divided by -4 is a whole number, -4 is a factor of 108

Since 108 divided by -3 is a whole number, -3 is a factor of 108

Since 108 divided by -2 is a whole number, -2 is a factor of 108

Since 108 divided by -1 is a whole number, -1 is a factor of 108

Since 108 divided by 1 is a whole number, 1 is a factor of 108

Since 108 divided by 2 is a whole number, 2 is a factor of 108

Since 108 divided by 3 is a whole number, 3 is a factor of 108

Since 108 divided by 4 is a whole number, 4 is a factor of 108

Since 108 divided by 6 is a whole number, 6 is a factor of 108

Since 108 divided by 9 is a whole number, 9 is a factor of 108

Since 108 divided by 12 is a whole number, 12 is a factor of 108

Since 108 divided by 18 is a whole number, 18 is a factor of 108

Since 108 divided by 27 is a whole number, 27 is a factor of 108

Since 108 divided by 36 is a whole number, 36 is a factor of 108

Since 108 divided by 54 is a whole number, 54 is a factor of 108

## What are the multiples of 108?

Multiples of 108 are all integers divisible by 108 , i.e. the remainder of the full division by 108 is zero. There are infinite multiples of 108. The smallest multiples of 108 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 108 since 0 × 108 = 0

108 : in fact, 108 is a multiple of itself, since 108 is divisible by 108 (it was 108 / 108 = 1, so the rest of this division is zero)

216: in fact, 216 = 108 × 2

324: in fact, 324 = 108 × 3

432: in fact, 432 = 108 × 4

540: in fact, 540 = 108 × 5

etc.

## Is 108 a prime number?

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

for 108, the answer is: No, 108 is not a prime number.

## 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 108). 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 10.392 ). 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.