# Divisors of 72

## Divisors of 72

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

Accordingly:

72 is multiplo of 1

72 is multiplo of 2

72 is multiplo of 3

72 is multiplo of 4

72 is multiplo of 6

72 is multiplo of 8

72 is multiplo of 9

72 is multiplo of 12

72 is multiplo of 18

72 is multiplo of 24

72 is multiplo of 36

72 has 11 positive divisors

## Parity of 72

In addition we can say of the number 72 that it is even

72 is an even number, as it is divisible by 2 : 72/2 = 36

## The factors for 72

The factors for 72 are all the numbers between -72 and 72 , which divide 72 without leaving any remainder. Since 72 divided by -72 is an integer, -72 is a factor of 72 .

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

Since 72 divided by -36 is a whole number, -36 is a factor of 72

Since 72 divided by -24 is a whole number, -24 is a factor of 72

Since 72 divided by -18 is a whole number, -18 is a factor of 72

Since 72 divided by -12 is a whole number, -12 is a factor of 72

Since 72 divided by -9 is a whole number, -9 is a factor of 72

Since 72 divided by -8 is a whole number, -8 is a factor of 72

Since 72 divided by -6 is a whole number, -6 is a factor of 72

Since 72 divided by -4 is a whole number, -4 is a factor of 72

Since 72 divided by -3 is a whole number, -3 is a factor of 72

Since 72 divided by -2 is a whole number, -2 is a factor of 72

Since 72 divided by -1 is a whole number, -1 is a factor of 72

Since 72 divided by 1 is a whole number, 1 is a factor of 72

Since 72 divided by 2 is a whole number, 2 is a factor of 72

Since 72 divided by 3 is a whole number, 3 is a factor of 72

Since 72 divided by 4 is a whole number, 4 is a factor of 72

Since 72 divided by 6 is a whole number, 6 is a factor of 72

Since 72 divided by 8 is a whole number, 8 is a factor of 72

Since 72 divided by 9 is a whole number, 9 is a factor of 72

Since 72 divided by 12 is a whole number, 12 is a factor of 72

Since 72 divided by 18 is a whole number, 18 is a factor of 72

Since 72 divided by 24 is a whole number, 24 is a factor of 72

Since 72 divided by 36 is a whole number, 36 is a factor of 72

## What are the multiples of 72?

Multiples of 72 are all integers divisible by 72 , i.e. the remainder of the full division by 72 is zero. There are infinite multiples of 72. The smallest multiples of 72 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 72 since 0 × 72 = 0

72 : in fact, 72 is a multiple of itself, since 72 is divisible by 72 (it was 72 / 72 = 1, so the rest of this division is zero)

144: in fact, 144 = 72 × 2

216: in fact, 216 = 72 × 3

288: in fact, 288 = 72 × 4

360: in fact, 360 = 72 × 5

etc.

## Is 72 a prime number?

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

for 72, the answer is: No, 72 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 72). 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 8.485 ). 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.