# Divisors of 216

## Divisors of 216

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

Accordingly:

216 is multiplo of 1

216 is multiplo of 2

216 is multiplo of 3

216 is multiplo of 4

216 is multiplo of 6

216 is multiplo of 8

216 is multiplo of 9

216 is multiplo of 12

216 is multiplo of 18

216 is multiplo of 24

216 is multiplo of 27

216 is multiplo of 36

216 is multiplo of 54

216 is multiplo of 72

216 is multiplo of 108

216 has 15 positive divisors

## Parity of 216

In addition we can say of the number 216 that it is even

216 is an even number, as it is divisible by 2 : 216/2 = 108

## The factors for 216

The factors for 216 are all the numbers between -216 and 216 , which divide 216 without leaving any remainder. Since 216 divided by -216 is an integer, -216 is a factor of 216 .

Since 216 divided by -216 is a whole number, -216 is a factor of 216

Since 216 divided by -108 is a whole number, -108 is a factor of 216

Since 216 divided by -72 is a whole number, -72 is a factor of 216

Since 216 divided by -54 is a whole number, -54 is a factor of 216

Since 216 divided by -36 is a whole number, -36 is a factor of 216

Since 216 divided by -27 is a whole number, -27 is a factor of 216

Since 216 divided by -24 is a whole number, -24 is a factor of 216

Since 216 divided by -18 is a whole number, -18 is a factor of 216

Since 216 divided by -12 is a whole number, -12 is a factor of 216

Since 216 divided by -9 is a whole number, -9 is a factor of 216

Since 216 divided by -8 is a whole number, -8 is a factor of 216

Since 216 divided by -6 is a whole number, -6 is a factor of 216

Since 216 divided by -4 is a whole number, -4 is a factor of 216

Since 216 divided by -3 is a whole number, -3 is a factor of 216

Since 216 divided by -2 is a whole number, -2 is a factor of 216

Since 216 divided by -1 is a whole number, -1 is a factor of 216

Since 216 divided by 1 is a whole number, 1 is a factor of 216

Since 216 divided by 2 is a whole number, 2 is a factor of 216

Since 216 divided by 3 is a whole number, 3 is a factor of 216

Since 216 divided by 4 is a whole number, 4 is a factor of 216

Since 216 divided by 6 is a whole number, 6 is a factor of 216

Since 216 divided by 8 is a whole number, 8 is a factor of 216

Since 216 divided by 9 is a whole number, 9 is a factor of 216

Since 216 divided by 12 is a whole number, 12 is a factor of 216

Since 216 divided by 18 is a whole number, 18 is a factor of 216

Since 216 divided by 24 is a whole number, 24 is a factor of 216

Since 216 divided by 27 is a whole number, 27 is a factor of 216

Since 216 divided by 36 is a whole number, 36 is a factor of 216

Since 216 divided by 54 is a whole number, 54 is a factor of 216

Since 216 divided by 72 is a whole number, 72 is a factor of 216

Since 216 divided by 108 is a whole number, 108 is a factor of 216

## What are the multiples of 216?

Multiples of 216 are all integers divisible by 216 , i.e. the remainder of the full division by 216 is zero. There are infinite multiples of 216. The smallest multiples of 216 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 216 since 0 × 216 = 0

216 : in fact, 216 is a multiple of itself, since 216 is divisible by 216 (it was 216 / 216 = 1, so the rest of this division is zero)

432: in fact, 432 = 216 × 2

648: in fact, 648 = 216 × 3

864: in fact, 864 = 216 × 4

1080: in fact, 1080 = 216 × 5

etc.

## Is 216 a prime number?

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

for 216, the answer is: No, 216 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 216). 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 14.697 ). 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.