# Divisors of 2009

## Divisors of 2009

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

Accordingly:

2009 is multiplo of 1

2009 is multiplo of 7

2009 is multiplo of 41

2009 is multiplo of 49

2009 is multiplo of 287

2009 has 5 positive divisors

## Parity of 2009

2009is an odd number,as it is not divisible by 2

## The factors for 2009

The factors for 2009 are all the numbers between -2009 and 2009 , which divide 2009 without leaving any remainder. Since 2009 divided by -2009 is an integer, -2009 is a factor of 2009 .

Since 2009 divided by -2009 is a whole number, -2009 is a factor of 2009

Since 2009 divided by -287 is a whole number, -287 is a factor of 2009

Since 2009 divided by -49 is a whole number, -49 is a factor of 2009

Since 2009 divided by -41 is a whole number, -41 is a factor of 2009

Since 2009 divided by -7 is a whole number, -7 is a factor of 2009

Since 2009 divided by -1 is a whole number, -1 is a factor of 2009

Since 2009 divided by 1 is a whole number, 1 is a factor of 2009

Since 2009 divided by 7 is a whole number, 7 is a factor of 2009

Since 2009 divided by 41 is a whole number, 41 is a factor of 2009

Since 2009 divided by 49 is a whole number, 49 is a factor of 2009

Since 2009 divided by 287 is a whole number, 287 is a factor of 2009

## What are the multiples of 2009?

Multiples of 2009 are all integers divisible by 2009 , i.e. the remainder of the full division by 2009 is zero. There are infinite multiples of 2009. The smallest multiples of 2009 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 2009 since 0 × 2009 = 0

2009 : in fact, 2009 is a multiple of itself, since 2009 is divisible by 2009 (it was 2009 / 2009 = 1, so the rest of this division is zero)

4018: in fact, 4018 = 2009 × 2

6027: in fact, 6027 = 2009 × 3

8036: in fact, 8036 = 2009 × 4

10045: in fact, 10045 = 2009 × 5

etc.

## Is 2009 a prime number?

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

for 2009, the answer is: No, 2009 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 2009). 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 44.822 ). 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.