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

Accordingly:

**5004** is multiplo of **1**

**5004** is multiplo of **2**

**5004** is multiplo of **3**

**5004** is multiplo of **4**

**5004** is multiplo of **6**

**5004** is multiplo of **9**

**5004** is multiplo of **12**

**5004** is multiplo of **18**

**5004** is multiplo of **36**

**5004** is multiplo of **139**

**5004** is multiplo of **278**

**5004** is multiplo of **417**

**5004** is multiplo of **556**

**5004** is multiplo of **834**

**5004** is multiplo of **1251**

**5004** is multiplo of **1668**

**5004** is multiplo of **2502**

**5004** has **17 positive divisors **

In addition we can say of the number **5004 that it is even**

5004 is an even number, as it is divisible by 2 : 5004/2 = 2502

The factors for 5004 are all the numbers between -5004 and 5004 , which divide 5004 without leaving any remainder. Since 5004 divided by -5004 is an integer, -5004 is a factor of 5004 .

Since 5004 divided by -5004 is a whole number, -5004 is a factor of 5004

Since 5004 divided by -2502 is a whole number, -2502 is a factor of 5004

Since 5004 divided by -1668 is a whole number, -1668 is a factor of 5004

Since 5004 divided by -1251 is a whole number, -1251 is a factor of 5004

Since 5004 divided by -834 is a whole number, -834 is a factor of 5004

Since 5004 divided by -556 is a whole number, -556 is a factor of 5004

Since 5004 divided by -417 is a whole number, -417 is a factor of 5004

Since 5004 divided by -278 is a whole number, -278 is a factor of 5004

Since 5004 divided by -139 is a whole number, -139 is a factor of 5004

Since 5004 divided by -36 is a whole number, -36 is a factor of 5004

Since 5004 divided by -18 is a whole number, -18 is a factor of 5004

Since 5004 divided by -12 is a whole number, -12 is a factor of 5004

Since 5004 divided by -9 is a whole number, -9 is a factor of 5004

Since 5004 divided by -6 is a whole number, -6 is a factor of 5004

Since 5004 divided by -4 is a whole number, -4 is a factor of 5004

Since 5004 divided by -3 is a whole number, -3 is a factor of 5004

Since 5004 divided by -2 is a whole number, -2 is a factor of 5004

Since 5004 divided by -1 is a whole number, -1 is a factor of 5004

Since 5004 divided by 1 is a whole number, 1 is a factor of 5004

Since 5004 divided by 2 is a whole number, 2 is a factor of 5004

Since 5004 divided by 3 is a whole number, 3 is a factor of 5004

Since 5004 divided by 4 is a whole number, 4 is a factor of 5004

Since 5004 divided by 6 is a whole number, 6 is a factor of 5004

Since 5004 divided by 9 is a whole number, 9 is a factor of 5004

Since 5004 divided by 12 is a whole number, 12 is a factor of 5004

Since 5004 divided by 18 is a whole number, 18 is a factor of 5004

Since 5004 divided by 36 is a whole number, 36 is a factor of 5004

Since 5004 divided by 139 is a whole number, 139 is a factor of 5004

Since 5004 divided by 278 is a whole number, 278 is a factor of 5004

Since 5004 divided by 417 is a whole number, 417 is a factor of 5004

Since 5004 divided by 556 is a whole number, 556 is a factor of 5004

Since 5004 divided by 834 is a whole number, 834 is a factor of 5004

Since 5004 divided by 1251 is a whole number, 1251 is a factor of 5004

Since 5004 divided by 1668 is a whole number, 1668 is a factor of 5004

Since 5004 divided by 2502 is a whole number, 2502 is a factor of 5004

Multiples of 5004 are all integers divisible by 5004 , i.e. the remainder of the full division by 5004 is zero. There are infinite multiples of 5004. The smallest multiples of 5004 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 5004 since 0 × 5004 = 0

5004 : in fact, 5004 is a multiple of itself, since 5004 is divisible by 5004 (it was 5004 / 5004 = 1, so the rest of this division is zero)

10008: in fact, 10008 = 5004 × 2

15012: in fact, 15012 = 5004 × 3

20016: in fact, 20016 = 5004 × 4

25020: in fact, 25020 = 5004 × 5

etc.

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

for 5004, the answer is:
**No, 5004 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 5004). 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 70.739 ). 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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