# Divisors of 3004

## Divisors of 3004

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

Accordingly:

3004 is multiplo of 1

3004 is multiplo of 2

3004 is multiplo of 4

3004 is multiplo of 751

3004 is multiplo of 1502

3004 has 5 positive divisors

## Parity of 3004

In addition we can say of the number 3004 that it is even

3004 is an even number, as it is divisible by 2 : 3004/2 = 1502

## The factors for 3004

The factors for 3004 are all the numbers between -3004 and 3004 , which divide 3004 without leaving any remainder. Since 3004 divided by -3004 is an integer, -3004 is a factor of 3004 .

Since 3004 divided by -3004 is a whole number, -3004 is a factor of 3004

Since 3004 divided by -1502 is a whole number, -1502 is a factor of 3004

Since 3004 divided by -751 is a whole number, -751 is a factor of 3004

Since 3004 divided by -4 is a whole number, -4 is a factor of 3004

Since 3004 divided by -2 is a whole number, -2 is a factor of 3004

Since 3004 divided by -1 is a whole number, -1 is a factor of 3004

Since 3004 divided by 1 is a whole number, 1 is a factor of 3004

Since 3004 divided by 2 is a whole number, 2 is a factor of 3004

Since 3004 divided by 4 is a whole number, 4 is a factor of 3004

Since 3004 divided by 751 is a whole number, 751 is a factor of 3004

Since 3004 divided by 1502 is a whole number, 1502 is a factor of 3004

## What are the multiples of 3004?

Multiples of 3004 are all integers divisible by 3004 , i.e. the remainder of the full division by 3004 is zero. There are infinite multiples of 3004. The smallest multiples of 3004 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 3004 since 0 × 3004 = 0

3004 : in fact, 3004 is a multiple of itself, since 3004 is divisible by 3004 (it was 3004 / 3004 = 1, so the rest of this division is zero)

6008: in fact, 6008 = 3004 × 2

9012: in fact, 9012 = 3004 × 3

12016: in fact, 12016 = 3004 × 4

15020: in fact, 15020 = 3004 × 5

etc.

## Is 3004 a prime number?

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

for 3004, the answer is: No, 3004 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 3004). 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 54.809 ). 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.