# Divisors of 117

## Divisors of 117

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

Accordingly:

117 is multiplo of 1

117 is multiplo of 3

117 is multiplo of 9

117 is multiplo of 13

117 is multiplo of 39

117 has 5 positive divisors

## Parity of 117

117is an odd number,as it is not divisible by 2

## The factors for 117

The factors for 117 are all the numbers between -117 and 117 , which divide 117 without leaving any remainder. Since 117 divided by -117 is an integer, -117 is a factor of 117 .

Since 117 divided by -117 is a whole number, -117 is a factor of 117

Since 117 divided by -39 is a whole number, -39 is a factor of 117

Since 117 divided by -13 is a whole number, -13 is a factor of 117

Since 117 divided by -9 is a whole number, -9 is a factor of 117

Since 117 divided by -3 is a whole number, -3 is a factor of 117

Since 117 divided by -1 is a whole number, -1 is a factor of 117

Since 117 divided by 1 is a whole number, 1 is a factor of 117

Since 117 divided by 3 is a whole number, 3 is a factor of 117

Since 117 divided by 9 is a whole number, 9 is a factor of 117

Since 117 divided by 13 is a whole number, 13 is a factor of 117

Since 117 divided by 39 is a whole number, 39 is a factor of 117

## What are the multiples of 117?

Multiples of 117 are all integers divisible by 117 , i.e. the remainder of the full division by 117 is zero. There are infinite multiples of 117. The smallest multiples of 117 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 117 since 0 × 117 = 0

117 : in fact, 117 is a multiple of itself, since 117 is divisible by 117 (it was 117 / 117 = 1, so the rest of this division is zero)

234: in fact, 234 = 117 × 2

351: in fact, 351 = 117 × 3

468: in fact, 468 = 117 × 4

585: in fact, 585 = 117 × 5

etc.

## Is 117 a prime number?

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

for 117, the answer is: No, 117 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 117). 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 10.817 ). 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.