# Divisors of 3009

## Divisors of 3009

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

Accordingly:

3009 is multiplo of 1

3009 is multiplo of 3

3009 is multiplo of 17

3009 is multiplo of 51

3009 is multiplo of 59

3009 is multiplo of 177

3009 is multiplo of 1003

3009 has 7 positive divisors

## Parity of 3009

3009is an odd number,as it is not divisible by 2

## The factors for 3009

The factors for 3009 are all the numbers between -3009 and 3009 , which divide 3009 without leaving any remainder. Since 3009 divided by -3009 is an integer, -3009 is a factor of 3009 .

Since 3009 divided by -3009 is a whole number, -3009 is a factor of 3009

Since 3009 divided by -1003 is a whole number, -1003 is a factor of 3009

Since 3009 divided by -177 is a whole number, -177 is a factor of 3009

Since 3009 divided by -59 is a whole number, -59 is a factor of 3009

Since 3009 divided by -51 is a whole number, -51 is a factor of 3009

Since 3009 divided by -17 is a whole number, -17 is a factor of 3009

Since 3009 divided by -3 is a whole number, -3 is a factor of 3009

Since 3009 divided by -1 is a whole number, -1 is a factor of 3009

Since 3009 divided by 1 is a whole number, 1 is a factor of 3009

Since 3009 divided by 3 is a whole number, 3 is a factor of 3009

Since 3009 divided by 17 is a whole number, 17 is a factor of 3009

Since 3009 divided by 51 is a whole number, 51 is a factor of 3009

Since 3009 divided by 59 is a whole number, 59 is a factor of 3009

Since 3009 divided by 177 is a whole number, 177 is a factor of 3009

Since 3009 divided by 1003 is a whole number, 1003 is a factor of 3009

## What are the multiples of 3009?

Multiples of 3009 are all integers divisible by 3009 , i.e. the remainder of the full division by 3009 is zero. There are infinite multiples of 3009. The smallest multiples of 3009 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 3009 since 0 × 3009 = 0

3009 : in fact, 3009 is a multiple of itself, since 3009 is divisible by 3009 (it was 3009 / 3009 = 1, so the rest of this division is zero)

6018: in fact, 6018 = 3009 × 2

9027: in fact, 9027 = 3009 × 3

12036: in fact, 12036 = 3009 × 4

15045: in fact, 15045 = 3009 × 5

etc.

## Is 3009 a prime number?

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

for 3009, the answer is: No, 3009 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 3009). 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 54.854 ). 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.