# Divisors of 5007

## Divisors of 5007

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

Accordingly:

5007 is multiplo of 1

5007 is multiplo of 3

5007 is multiplo of 1669

5007 has 3 positive divisors

## Parity of 5007

5007is an odd number,as it is not divisible by 2

## The factors for 5007

The factors for 5007 are all the numbers between -5007 and 5007 , which divide 5007 without leaving any remainder. Since 5007 divided by -5007 is an integer, -5007 is a factor of 5007 .

Since 5007 divided by -5007 is a whole number, -5007 is a factor of 5007

Since 5007 divided by -1669 is a whole number, -1669 is a factor of 5007

Since 5007 divided by -3 is a whole number, -3 is a factor of 5007

Since 5007 divided by -1 is a whole number, -1 is a factor of 5007

Since 5007 divided by 1 is a whole number, 1 is a factor of 5007

Since 5007 divided by 3 is a whole number, 3 is a factor of 5007

Since 5007 divided by 1669 is a whole number, 1669 is a factor of 5007

## What are the multiples of 5007?

Multiples of 5007 are all integers divisible by 5007 , i.e. the remainder of the full division by 5007 is zero. There are infinite multiples of 5007. The smallest multiples of 5007 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 5007 since 0 × 5007 = 0

5007 : in fact, 5007 is a multiple of itself, since 5007 is divisible by 5007 (it was 5007 / 5007 = 1, so the rest of this division is zero)

10014: in fact, 10014 = 5007 × 2

15021: in fact, 15021 = 5007 × 3

20028: in fact, 20028 = 5007 × 4

25035: in fact, 25035 = 5007 × 5

etc.

## Is 5007 a prime number?

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

for 5007, the answer is: No, 5007 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 5007). 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 70.76 ). 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.