# Divisors of 39

## Divisors of 39

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

Accordingly:

39 is multiplo of 1

39 is multiplo of 3

39 is multiplo of 13

39 has 3 positive divisors

## Parity of 39

39is an odd number,as it is not divisible by 2

## The factors for 39

The factors for 39 are all the numbers between -39 and 39 , which divide 39 without leaving any remainder. Since 39 divided by -39 is an integer, -39 is a factor of 39 .

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

Since 39 divided by -13 is a whole number, -13 is a factor of 39

Since 39 divided by -3 is a whole number, -3 is a factor of 39

Since 39 divided by -1 is a whole number, -1 is a factor of 39

Since 39 divided by 1 is a whole number, 1 is a factor of 39

Since 39 divided by 3 is a whole number, 3 is a factor of 39

Since 39 divided by 13 is a whole number, 13 is a factor of 39

## What are the multiples of 39?

Multiples of 39 are all integers divisible by 39 , i.e. the remainder of the full division by 39 is zero. There are infinite multiples of 39. The smallest multiples of 39 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 39 since 0 × 39 = 0

39 : in fact, 39 is a multiple of itself, since 39 is divisible by 39 (it was 39 / 39 = 1, so the rest of this division is zero)

78: in fact, 78 = 39 × 2

117: in fact, 117 = 39 × 3

156: in fact, 156 = 39 × 4

195: in fact, 195 = 39 × 5

etc.

## Is 39 a prime number?

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

for 39, the answer is: No, 39 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 39). 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 6.245 ). 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.