# Divisors of 3989

## Divisors of 3989

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

• 1
• 3989

Accordingly:

3989 is multiplo of 1

3989 has 1 positive divisors

## Parity of 3989

3989is an odd number,as it is not divisible by 2

## The factors for 3989

The factors for 3989 are all the numbers between -3989 and 3989 , which divide 3989 without leaving any remainder. Since 3989 divided by -3989 is an integer, -3989 is a factor of 3989 .

Since 3989 divided by -3989 is a whole number, -3989 is a factor of 3989

Since 3989 divided by -1 is a whole number, -1 is a factor of 3989

Since 3989 divided by 1 is a whole number, 1 is a factor of 3989

## What are the multiples of 3989?

Multiples of 3989 are all integers divisible by 3989 , i.e. the remainder of the full division by 3989 is zero. There are infinite multiples of 3989. The smallest multiples of 3989 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 3989 since 0 × 3989 = 0

3989 : in fact, 3989 is a multiple of itself, since 3989 is divisible by 3989 (it was 3989 / 3989 = 1, so the rest of this division is zero)

7978: in fact, 7978 = 3989 × 2

11967: in fact, 11967 = 3989 × 3

15956: in fact, 15956 = 3989 × 4

19945: in fact, 19945 = 3989 × 5

etc.

## Is 3989 a prime number?

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

for 3989, the answer is: yes, 3989 is a prime number because it only has two different divisors: 1 and itself (3989).

## 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 3989). 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 63.159 ). 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.