# Divisors of 4009

## Divisors of 4009

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

Accordingly:

4009 is multiplo of 1

4009 is multiplo of 19

4009 is multiplo of 211

4009 has 3 positive divisors

## Parity of 4009

4009is an odd number,as it is not divisible by 2

## The factors for 4009

The factors for 4009 are all the numbers between -4009 and 4009 , which divide 4009 without leaving any remainder. Since 4009 divided by -4009 is an integer, -4009 is a factor of 4009 .

Since 4009 divided by -4009 is a whole number, -4009 is a factor of 4009

Since 4009 divided by -211 is a whole number, -211 is a factor of 4009

Since 4009 divided by -19 is a whole number, -19 is a factor of 4009

Since 4009 divided by -1 is a whole number, -1 is a factor of 4009

Since 4009 divided by 1 is a whole number, 1 is a factor of 4009

Since 4009 divided by 19 is a whole number, 19 is a factor of 4009

Since 4009 divided by 211 is a whole number, 211 is a factor of 4009

## What are the multiples of 4009?

Multiples of 4009 are all integers divisible by 4009 , i.e. the remainder of the full division by 4009 is zero. There are infinite multiples of 4009. The smallest multiples of 4009 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 4009 since 0 × 4009 = 0

4009 : in fact, 4009 is a multiple of itself, since 4009 is divisible by 4009 (it was 4009 / 4009 = 1, so the rest of this division is zero)

8018: in fact, 8018 = 4009 × 2

12027: in fact, 12027 = 4009 × 3

16036: in fact, 16036 = 4009 × 4

20045: in fact, 20045 = 4009 × 5

etc.

## Is 4009 a prime number?

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

for 4009, the answer is: No, 4009 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 4009). 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 63.317 ). 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.