# Divisors of 12

## Divisors of 12

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

Accordingly:

12 is multiplo of 1

12 is multiplo of 2

12 is multiplo of 3

12 is multiplo of 4

12 is multiplo of 6

12 has 5 positive divisors

## Parity of 12

In addition we can say of the number 12 that it is even

12 is an even number, as it is divisible by 2 : 12/2 = 6

## The factors for 12

The factors for 12 are all the numbers between -12 and 12 , which divide 12 without leaving any remainder. Since 12 divided by -12 is an integer, -12 is a factor of 12 .

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

Since 12 divided by -6 is a whole number, -6 is a factor of 12

Since 12 divided by -4 is a whole number, -4 is a factor of 12

Since 12 divided by -3 is a whole number, -3 is a factor of 12

Since 12 divided by -2 is a whole number, -2 is a factor of 12

Since 12 divided by -1 is a whole number, -1 is a factor of 12

Since 12 divided by 1 is a whole number, 1 is a factor of 12

Since 12 divided by 2 is a whole number, 2 is a factor of 12

Since 12 divided by 3 is a whole number, 3 is a factor of 12

Since 12 divided by 4 is a whole number, 4 is a factor of 12

Since 12 divided by 6 is a whole number, 6 is a factor of 12

## What are the multiples of 12?

Multiples of 12 are all integers divisible by 12 , i.e. the remainder of the full division by 12 is zero. There are infinite multiples of 12. The smallest multiples of 12 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 12 since 0 × 12 = 0

12 : in fact, 12 is a multiple of itself, since 12 is divisible by 12 (it was 12 / 12 = 1, so the rest of this division is zero)

24: in fact, 24 = 12 × 2

36: in fact, 36 = 12 × 3

48: in fact, 48 = 12 × 4

60: in fact, 60 = 12 × 5

etc.

## Is 12 a prime number?

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

for 12, the answer is: No, 12 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 12). 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 3.464 ). 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.

## Numbers about 12

Previous Numbers: ... 10, 11

Next Numbers: 13, 14 ...

## Prime numbers closer to 12

Previous prime number: 11

Next prime number: 13