# Divisors of 7989

## Divisors of 7989

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

Accordingly:

7989 is multiplo of 1

7989 is multiplo of 3

7989 is multiplo of 2663

7989 has 3 positive divisors

## Parity of 7989

7989is an odd number,as it is not divisible by 2

## The factors for 7989

The factors for 7989 are all the numbers between -7989 and 7989 , which divide 7989 without leaving any remainder. Since 7989 divided by -7989 is an integer, -7989 is a factor of 7989 .

Since 7989 divided by -7989 is a whole number, -7989 is a factor of 7989

Since 7989 divided by -2663 is a whole number, -2663 is a factor of 7989

Since 7989 divided by -3 is a whole number, -3 is a factor of 7989

Since 7989 divided by -1 is a whole number, -1 is a factor of 7989

Since 7989 divided by 1 is a whole number, 1 is a factor of 7989

Since 7989 divided by 3 is a whole number, 3 is a factor of 7989

Since 7989 divided by 2663 is a whole number, 2663 is a factor of 7989

## What are the multiples of 7989?

Multiples of 7989 are all integers divisible by 7989 , i.e. the remainder of the full division by 7989 is zero. There are infinite multiples of 7989. The smallest multiples of 7989 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 7989 since 0 × 7989 = 0

7989 : in fact, 7989 is a multiple of itself, since 7989 is divisible by 7989 (it was 7989 / 7989 = 1, so the rest of this division is zero)

15978: in fact, 15978 = 7989 × 2

23967: in fact, 23967 = 7989 × 3

31956: in fact, 31956 = 7989 × 4

39945: in fact, 39945 = 7989 × 5

etc.

## Is 7989 a prime number?

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

for 7989, the answer is: No, 7989 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 7989). 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 89.381 ). 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.