# Divisors of 4004

## Divisors of 4004

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

Accordingly:

4004 is multiplo of 1

4004 is multiplo of 2

4004 is multiplo of 4

4004 is multiplo of 7

4004 is multiplo of 11

4004 is multiplo of 13

4004 is multiplo of 14

4004 is multiplo of 22

4004 is multiplo of 26

4004 is multiplo of 28

4004 is multiplo of 44

4004 is multiplo of 52

4004 is multiplo of 77

4004 is multiplo of 91

4004 is multiplo of 143

4004 is multiplo of 154

4004 is multiplo of 182

4004 is multiplo of 286

4004 is multiplo of 308

4004 is multiplo of 364

4004 is multiplo of 572

4004 is multiplo of 1001

4004 is multiplo of 2002

4004 has 23 positive divisors

## Parity of 4004

In addition we can say of the number 4004 that it is even

4004 is an even number, as it is divisible by 2 : 4004/2 = 2002

## The factors for 4004

The factors for 4004 are all the numbers between -4004 and 4004 , which divide 4004 without leaving any remainder. Since 4004 divided by -4004 is an integer, -4004 is a factor of 4004 .

Since 4004 divided by -4004 is a whole number, -4004 is a factor of 4004

Since 4004 divided by -2002 is a whole number, -2002 is a factor of 4004

Since 4004 divided by -1001 is a whole number, -1001 is a factor of 4004

Since 4004 divided by -572 is a whole number, -572 is a factor of 4004

Since 4004 divided by -364 is a whole number, -364 is a factor of 4004

Since 4004 divided by -308 is a whole number, -308 is a factor of 4004

Since 4004 divided by -286 is a whole number, -286 is a factor of 4004

Since 4004 divided by -182 is a whole number, -182 is a factor of 4004

Since 4004 divided by -154 is a whole number, -154 is a factor of 4004

Since 4004 divided by -143 is a whole number, -143 is a factor of 4004

Since 4004 divided by -91 is a whole number, -91 is a factor of 4004

Since 4004 divided by -77 is a whole number, -77 is a factor of 4004

Since 4004 divided by -52 is a whole number, -52 is a factor of 4004

Since 4004 divided by -44 is a whole number, -44 is a factor of 4004

Since 4004 divided by -28 is a whole number, -28 is a factor of 4004

Since 4004 divided by -26 is a whole number, -26 is a factor of 4004

Since 4004 divided by -22 is a whole number, -22 is a factor of 4004

Since 4004 divided by -14 is a whole number, -14 is a factor of 4004

Since 4004 divided by -13 is a whole number, -13 is a factor of 4004

Since 4004 divided by -11 is a whole number, -11 is a factor of 4004

Since 4004 divided by -7 is a whole number, -7 is a factor of 4004

Since 4004 divided by -4 is a whole number, -4 is a factor of 4004

Since 4004 divided by -2 is a whole number, -2 is a factor of 4004

Since 4004 divided by -1 is a whole number, -1 is a factor of 4004

Since 4004 divided by 1 is a whole number, 1 is a factor of 4004

Since 4004 divided by 2 is a whole number, 2 is a factor of 4004

Since 4004 divided by 4 is a whole number, 4 is a factor of 4004

Since 4004 divided by 7 is a whole number, 7 is a factor of 4004

Since 4004 divided by 11 is a whole number, 11 is a factor of 4004

Since 4004 divided by 13 is a whole number, 13 is a factor of 4004

Since 4004 divided by 14 is a whole number, 14 is a factor of 4004

Since 4004 divided by 22 is a whole number, 22 is a factor of 4004

Since 4004 divided by 26 is a whole number, 26 is a factor of 4004

Since 4004 divided by 28 is a whole number, 28 is a factor of 4004

Since 4004 divided by 44 is a whole number, 44 is a factor of 4004

Since 4004 divided by 52 is a whole number, 52 is a factor of 4004

Since 4004 divided by 77 is a whole number, 77 is a factor of 4004

Since 4004 divided by 91 is a whole number, 91 is a factor of 4004

Since 4004 divided by 143 is a whole number, 143 is a factor of 4004

Since 4004 divided by 154 is a whole number, 154 is a factor of 4004

Since 4004 divided by 182 is a whole number, 182 is a factor of 4004

Since 4004 divided by 286 is a whole number, 286 is a factor of 4004

Since 4004 divided by 308 is a whole number, 308 is a factor of 4004

Since 4004 divided by 364 is a whole number, 364 is a factor of 4004

Since 4004 divided by 572 is a whole number, 572 is a factor of 4004

Since 4004 divided by 1001 is a whole number, 1001 is a factor of 4004

Since 4004 divided by 2002 is a whole number, 2002 is a factor of 4004

## What are the multiples of 4004?

Multiples of 4004 are all integers divisible by 4004 , i.e. the remainder of the full division by 4004 is zero. There are infinite multiples of 4004. The smallest multiples of 4004 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 4004 since 0 × 4004 = 0

4004 : in fact, 4004 is a multiple of itself, since 4004 is divisible by 4004 (it was 4004 / 4004 = 1, so the rest of this division is zero)

8008: in fact, 8008 = 4004 × 2

12012: in fact, 12012 = 4004 × 3

16016: in fact, 16016 = 4004 × 4

20020: in fact, 20020 = 4004 × 5

etc.

## Is 4004 a prime number?

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

for 4004, the answer is: No, 4004 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 4004). 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 63.277 ). 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.