# Divisors of 972

## Divisors of 972

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

Accordingly:

972 is multiplo of 1

972 is multiplo of 2

972 is multiplo of 3

972 is multiplo of 4

972 is multiplo of 6

972 is multiplo of 9

972 is multiplo of 12

972 is multiplo of 18

972 is multiplo of 27

972 is multiplo of 36

972 is multiplo of 54

972 is multiplo of 81

972 is multiplo of 108

972 is multiplo of 162

972 is multiplo of 243

972 is multiplo of 324

972 is multiplo of 486

972 has 17 positive divisors

## Parity of 972

In addition we can say of the number 972 that it is even

972 is an even number, as it is divisible by 2 : 972/2 = 486

## The factors for 972

The factors for 972 are all the numbers between -972 and 972 , which divide 972 without leaving any remainder. Since 972 divided by -972 is an integer, -972 is a factor of 972 .

Since 972 divided by -972 is a whole number, -972 is a factor of 972

Since 972 divided by -486 is a whole number, -486 is a factor of 972

Since 972 divided by -324 is a whole number, -324 is a factor of 972

Since 972 divided by -243 is a whole number, -243 is a factor of 972

Since 972 divided by -162 is a whole number, -162 is a factor of 972

Since 972 divided by -108 is a whole number, -108 is a factor of 972

Since 972 divided by -81 is a whole number, -81 is a factor of 972

Since 972 divided by -54 is a whole number, -54 is a factor of 972

Since 972 divided by -36 is a whole number, -36 is a factor of 972

Since 972 divided by -27 is a whole number, -27 is a factor of 972

Since 972 divided by -18 is a whole number, -18 is a factor of 972

Since 972 divided by -12 is a whole number, -12 is a factor of 972

Since 972 divided by -9 is a whole number, -9 is a factor of 972

Since 972 divided by -6 is a whole number, -6 is a factor of 972

Since 972 divided by -4 is a whole number, -4 is a factor of 972

Since 972 divided by -3 is a whole number, -3 is a factor of 972

Since 972 divided by -2 is a whole number, -2 is a factor of 972

Since 972 divided by -1 is a whole number, -1 is a factor of 972

Since 972 divided by 1 is a whole number, 1 is a factor of 972

Since 972 divided by 2 is a whole number, 2 is a factor of 972

Since 972 divided by 3 is a whole number, 3 is a factor of 972

Since 972 divided by 4 is a whole number, 4 is a factor of 972

Since 972 divided by 6 is a whole number, 6 is a factor of 972

Since 972 divided by 9 is a whole number, 9 is a factor of 972

Since 972 divided by 12 is a whole number, 12 is a factor of 972

Since 972 divided by 18 is a whole number, 18 is a factor of 972

Since 972 divided by 27 is a whole number, 27 is a factor of 972

Since 972 divided by 36 is a whole number, 36 is a factor of 972

Since 972 divided by 54 is a whole number, 54 is a factor of 972

Since 972 divided by 81 is a whole number, 81 is a factor of 972

Since 972 divided by 108 is a whole number, 108 is a factor of 972

Since 972 divided by 162 is a whole number, 162 is a factor of 972

Since 972 divided by 243 is a whole number, 243 is a factor of 972

Since 972 divided by 324 is a whole number, 324 is a factor of 972

Since 972 divided by 486 is a whole number, 486 is a factor of 972

## What are the multiples of 972?

Multiples of 972 are all integers divisible by 972 , i.e. the remainder of the full division by 972 is zero. There are infinite multiples of 972. The smallest multiples of 972 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 972 since 0 × 972 = 0

972 : in fact, 972 is a multiple of itself, since 972 is divisible by 972 (it was 972 / 972 = 1, so the rest of this division is zero)

1944: in fact, 1944 = 972 × 2

2916: in fact, 2916 = 972 × 3

3888: in fact, 3888 = 972 × 4

4860: in fact, 4860 = 972 × 5

etc.

## Is 972 a prime number?

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

for 972, the answer is: No, 972 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 972). 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 31.177 ). 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.