# Divisors of 16

## Divisors of 16

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

Accordingly:

16 is multiplo of 1

16 is multiplo of 2

16 is multiplo of 4

16 is multiplo of 8

16 has 4 positive divisors

## Parity of 16

In addition we can say of the number 16 that it is even

16 is an even number, as it is divisible by 2 : 16/2 = 8

## The factors for 16

The factors for 16 are all the numbers between -16 and 16 , which divide 16 without leaving any remainder. Since 16 divided by -16 is an integer, -16 is a factor of 16 .

Since 16 divided by -16 is a whole number, -16 is a factor of 16

Since 16 divided by -8 is a whole number, -8 is a factor of 16

Since 16 divided by -4 is a whole number, -4 is a factor of 16

Since 16 divided by -2 is a whole number, -2 is a factor of 16

Since 16 divided by -1 is a whole number, -1 is a factor of 16

Since 16 divided by 1 is a whole number, 1 is a factor of 16

Since 16 divided by 2 is a whole number, 2 is a factor of 16

Since 16 divided by 4 is a whole number, 4 is a factor of 16

Since 16 divided by 8 is a whole number, 8 is a factor of 16

## What are the multiples of 16?

Multiples of 16 are all integers divisible by 16 , i.e. the remainder of the full division by 16 is zero. There are infinite multiples of 16. The smallest multiples of 16 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 16 since 0 × 16 = 0

16 : in fact, 16 is a multiple of itself, since 16 is divisible by 16 (it was 16 / 16 = 1, so the rest of this division is zero)

32: in fact, 32 = 16 × 2

48: in fact, 48 = 16 × 3

64: in fact, 64 = 16 × 4

80: in fact, 80 = 16 × 5

etc.

## Is 16 a prime number?

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

for 16, the answer is: No, 16 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 16). 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 4 ). 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.