# Divisors of 36

## Divisors of 36

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

Accordingly:

36 is multiplo of 1

36 is multiplo of 2

36 is multiplo of 3

36 is multiplo of 4

36 is multiplo of 6

36 is multiplo of 9

36 is multiplo of 12

36 is multiplo of 18

36 has 8 positive divisors

## Parity of 36

In addition we can say of the number 36 that it is even

36 is an even number, as it is divisible by 2 : 36/2 = 18

## The factors for 36

The factors for 36 are all the numbers between -36 and 36 , which divide 36 without leaving any remainder. Since 36 divided by -36 is an integer, -36 is a factor of 36 .

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

Since 36 divided by -18 is a whole number, -18 is a factor of 36

Since 36 divided by -12 is a whole number, -12 is a factor of 36

Since 36 divided by -9 is a whole number, -9 is a factor of 36

Since 36 divided by -6 is a whole number, -6 is a factor of 36

Since 36 divided by -4 is a whole number, -4 is a factor of 36

Since 36 divided by -3 is a whole number, -3 is a factor of 36

Since 36 divided by -2 is a whole number, -2 is a factor of 36

Since 36 divided by -1 is a whole number, -1 is a factor of 36

Since 36 divided by 1 is a whole number, 1 is a factor of 36

Since 36 divided by 2 is a whole number, 2 is a factor of 36

Since 36 divided by 3 is a whole number, 3 is a factor of 36

Since 36 divided by 4 is a whole number, 4 is a factor of 36

Since 36 divided by 6 is a whole number, 6 is a factor of 36

Since 36 divided by 9 is a whole number, 9 is a factor of 36

Since 36 divided by 12 is a whole number, 12 is a factor of 36

Since 36 divided by 18 is a whole number, 18 is a factor of 36

## What are the multiples of 36?

Multiples of 36 are all integers divisible by 36 , i.e. the remainder of the full division by 36 is zero. There are infinite multiples of 36. The smallest multiples of 36 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 36 since 0 × 36 = 0

36 : in fact, 36 is a multiple of itself, since 36 is divisible by 36 (it was 36 / 36 = 1, so the rest of this division is zero)

72: in fact, 72 = 36 × 2

108: in fact, 108 = 36 × 3

144: in fact, 144 = 36 × 4

180: in fact, 180 = 36 × 5

etc.

## Is 36 a prime number?

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

for 36, the answer is: No, 36 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 36). 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 ). 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.