# Divisors of 5008

## Divisors of 5008

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

Accordingly:

5008 is multiplo of 1

5008 is multiplo of 2

5008 is multiplo of 4

5008 is multiplo of 8

5008 is multiplo of 16

5008 is multiplo of 313

5008 is multiplo of 626

5008 is multiplo of 1252

5008 is multiplo of 2504

5008 has 9 positive divisors

## Parity of 5008

In addition we can say of the number 5008 that it is even

5008 is an even number, as it is divisible by 2 : 5008/2 = 2504

## The factors for 5008

The factors for 5008 are all the numbers between -5008 and 5008 , which divide 5008 without leaving any remainder. Since 5008 divided by -5008 is an integer, -5008 is a factor of 5008 .

Since 5008 divided by -5008 is a whole number, -5008 is a factor of 5008

Since 5008 divided by -2504 is a whole number, -2504 is a factor of 5008

Since 5008 divided by -1252 is a whole number, -1252 is a factor of 5008

Since 5008 divided by -626 is a whole number, -626 is a factor of 5008

Since 5008 divided by -313 is a whole number, -313 is a factor of 5008

Since 5008 divided by -16 is a whole number, -16 is a factor of 5008

Since 5008 divided by -8 is a whole number, -8 is a factor of 5008

Since 5008 divided by -4 is a whole number, -4 is a factor of 5008

Since 5008 divided by -2 is a whole number, -2 is a factor of 5008

Since 5008 divided by -1 is a whole number, -1 is a factor of 5008

Since 5008 divided by 1 is a whole number, 1 is a factor of 5008

Since 5008 divided by 2 is a whole number, 2 is a factor of 5008

Since 5008 divided by 4 is a whole number, 4 is a factor of 5008

Since 5008 divided by 8 is a whole number, 8 is a factor of 5008

Since 5008 divided by 16 is a whole number, 16 is a factor of 5008

Since 5008 divided by 313 is a whole number, 313 is a factor of 5008

Since 5008 divided by 626 is a whole number, 626 is a factor of 5008

Since 5008 divided by 1252 is a whole number, 1252 is a factor of 5008

Since 5008 divided by 2504 is a whole number, 2504 is a factor of 5008

## What are the multiples of 5008?

Multiples of 5008 are all integers divisible by 5008 , i.e. the remainder of the full division by 5008 is zero. There are infinite multiples of 5008. The smallest multiples of 5008 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 5008 since 0 × 5008 = 0

5008 : in fact, 5008 is a multiple of itself, since 5008 is divisible by 5008 (it was 5008 / 5008 = 1, so the rest of this division is zero)

10016: in fact, 10016 = 5008 × 2

15024: in fact, 15024 = 5008 × 3

20032: in fact, 20032 = 5008 × 4

25040: in fact, 25040 = 5008 × 5

etc.

## Is 5008 a prime number?

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

for 5008, the answer is: No, 5008 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 5008). 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 70.767 ). 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.