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

Accordingly:

**4008** is multiplo of **1**

**4008** is multiplo of **2**

**4008** is multiplo of **3**

**4008** is multiplo of **4**

**4008** is multiplo of **6**

**4008** is multiplo of **8**

**4008** is multiplo of **12**

**4008** is multiplo of **24**

**4008** is multiplo of **167**

**4008** is multiplo of **334**

**4008** is multiplo of **501**

**4008** is multiplo of **668**

**4008** is multiplo of **1002**

**4008** is multiplo of **1336**

**4008** is multiplo of **2004**

**4008** has **15 positive divisors **

In addition we can say of the number **4008 that it is even**

4008 is an even number, as it is divisible by 2 : 4008/2 = 2004

The factors for 4008 are all the numbers between -4008 and 4008 , which divide 4008 without leaving any remainder. Since 4008 divided by -4008 is an integer, -4008 is a factor of 4008 .

Since 4008 divided by -4008 is a whole number, -4008 is a factor of 4008

Since 4008 divided by -2004 is a whole number, -2004 is a factor of 4008

Since 4008 divided by -1336 is a whole number, -1336 is a factor of 4008

Since 4008 divided by -1002 is a whole number, -1002 is a factor of 4008

Since 4008 divided by -668 is a whole number, -668 is a factor of 4008

Since 4008 divided by -501 is a whole number, -501 is a factor of 4008

Since 4008 divided by -334 is a whole number, -334 is a factor of 4008

Since 4008 divided by -167 is a whole number, -167 is a factor of 4008

Since 4008 divided by -24 is a whole number, -24 is a factor of 4008

Since 4008 divided by -12 is a whole number, -12 is a factor of 4008

Since 4008 divided by -8 is a whole number, -8 is a factor of 4008

Since 4008 divided by -6 is a whole number, -6 is a factor of 4008

Since 4008 divided by -4 is a whole number, -4 is a factor of 4008

Since 4008 divided by -3 is a whole number, -3 is a factor of 4008

Since 4008 divided by -2 is a whole number, -2 is a factor of 4008

Since 4008 divided by -1 is a whole number, -1 is a factor of 4008

Since 4008 divided by 1 is a whole number, 1 is a factor of 4008

Since 4008 divided by 2 is a whole number, 2 is a factor of 4008

Since 4008 divided by 3 is a whole number, 3 is a factor of 4008

Since 4008 divided by 4 is a whole number, 4 is a factor of 4008

Since 4008 divided by 6 is a whole number, 6 is a factor of 4008

Since 4008 divided by 8 is a whole number, 8 is a factor of 4008

Since 4008 divided by 12 is a whole number, 12 is a factor of 4008

Since 4008 divided by 24 is a whole number, 24 is a factor of 4008

Since 4008 divided by 167 is a whole number, 167 is a factor of 4008

Since 4008 divided by 334 is a whole number, 334 is a factor of 4008

Since 4008 divided by 501 is a whole number, 501 is a factor of 4008

Since 4008 divided by 668 is a whole number, 668 is a factor of 4008

Since 4008 divided by 1002 is a whole number, 1002 is a factor of 4008

Since 4008 divided by 1336 is a whole number, 1336 is a factor of 4008

Since 4008 divided by 2004 is a whole number, 2004 is a factor of 4008

Multiples of 4008 are all integers divisible by 4008 , i.e. the remainder of the full division by 4008 is zero. There are infinite multiples of 4008. The smallest multiples of 4008 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 4008 since 0 × 4008 = 0

4008 : in fact, 4008 is a multiple of itself, since 4008 is divisible by 4008 (it was 4008 / 4008 = 1, so the rest of this division is zero)

8016: in fact, 8016 = 4008 × 2

12024: in fact, 12024 = 4008 × 3

16032: in fact, 16032 = 4008 × 4

20040: in fact, 20040 = 4008 × 5

etc.

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

for 4008, the answer is:
**No, 4008 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 4008). 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 63.309 ). 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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