# Divisors of 14

## Divisors of 14

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

Accordingly:

14 is multiplo of 1

14 is multiplo of 2

14 is multiplo of 7

14 has 3 positive divisors

## Parity of 14

In addition we can say of the number 14 that it is even

14 is an even number, as it is divisible by 2 : 14/2 = 7

## The factors for 14

The factors for 14 are all the numbers between -14 and 14 , which divide 14 without leaving any remainder. Since 14 divided by -14 is an integer, -14 is a factor of 14 .

Since 14 divided by -14 is a whole number, -14 is a factor of 14

Since 14 divided by -7 is a whole number, -7 is a factor of 14

Since 14 divided by -2 is a whole number, -2 is a factor of 14

Since 14 divided by -1 is a whole number, -1 is a factor of 14

Since 14 divided by 1 is a whole number, 1 is a factor of 14

Since 14 divided by 2 is a whole number, 2 is a factor of 14

Since 14 divided by 7 is a whole number, 7 is a factor of 14

## What are the multiples of 14?

Multiples of 14 are all integers divisible by 14 , i.e. the remainder of the full division by 14 is zero. There are infinite multiples of 14. The smallest multiples of 14 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 14 since 0 × 14 = 0

14 : in fact, 14 is a multiple of itself, since 14 is divisible by 14 (it was 14 / 14 = 1, so the rest of this division is zero)

28: in fact, 28 = 14 × 2

42: in fact, 42 = 14 × 3

56: in fact, 56 = 14 × 4

70: in fact, 70 = 14 × 5

etc.

## Is 14 a prime number?

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

for 14, the answer is: No, 14 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 14). 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 3.742 ). 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.