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

Accordingly:

**2004** is multiplo of **1**

**2004** is multiplo of **2**

**2004** is multiplo of **3**

**2004** is multiplo of **4**

**2004** is multiplo of **6**

**2004** is multiplo of **12**

**2004** is multiplo of **167**

**2004** is multiplo of **334**

**2004** is multiplo of **501**

**2004** is multiplo of **668**

**2004** is multiplo of **1002**

**2004** has **11 positive divisors **

In addition we can say of the number **2004 that it is even**

2004 is an even number, as it is divisible by 2 : 2004/2 = 1002

The factors for 2004 are all the numbers between -2004 and 2004 , which divide 2004 without leaving any remainder. Since 2004 divided by -2004 is an integer, -2004 is a factor of 2004 .

Since 2004 divided by -2004 is a whole number, -2004 is a factor of 2004

Since 2004 divided by -1002 is a whole number, -1002 is a factor of 2004

Since 2004 divided by -668 is a whole number, -668 is a factor of 2004

Since 2004 divided by -501 is a whole number, -501 is a factor of 2004

Since 2004 divided by -334 is a whole number, -334 is a factor of 2004

Since 2004 divided by -167 is a whole number, -167 is a factor of 2004

Since 2004 divided by -12 is a whole number, -12 is a factor of 2004

Since 2004 divided by -6 is a whole number, -6 is a factor of 2004

Since 2004 divided by -4 is a whole number, -4 is a factor of 2004

Since 2004 divided by -3 is a whole number, -3 is a factor of 2004

Since 2004 divided by -2 is a whole number, -2 is a factor of 2004

Since 2004 divided by -1 is a whole number, -1 is a factor of 2004

Since 2004 divided by 1 is a whole number, 1 is a factor of 2004

Since 2004 divided by 2 is a whole number, 2 is a factor of 2004

Since 2004 divided by 3 is a whole number, 3 is a factor of 2004

Since 2004 divided by 4 is a whole number, 4 is a factor of 2004

Since 2004 divided by 6 is a whole number, 6 is a factor of 2004

Since 2004 divided by 12 is a whole number, 12 is a factor of 2004

Since 2004 divided by 167 is a whole number, 167 is a factor of 2004

Since 2004 divided by 334 is a whole number, 334 is a factor of 2004

Since 2004 divided by 501 is a whole number, 501 is a factor of 2004

Since 2004 divided by 668 is a whole number, 668 is a factor of 2004

Since 2004 divided by 1002 is a whole number, 1002 is a factor of 2004

Multiples of 2004 are all integers divisible by 2004 , i.e. the remainder of the full division by 2004 is zero. There are infinite multiples of 2004. The smallest multiples of 2004 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 2004 since 0 × 2004 = 0

2004 : in fact, 2004 is a multiple of itself, since 2004 is divisible by 2004 (it was 2004 / 2004 = 1, so the rest of this division is zero)

4008: in fact, 4008 = 2004 × 2

6012: in fact, 6012 = 2004 × 3

8016: in fact, 8016 = 2004 × 4

10020: in fact, 10020 = 2004 × 5

etc.

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

for 2004, the answer is:
**No, 2004 is not a prime number**.

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 2004). 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 44.766 ). 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.

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