# Divisors of 5009

## Divisors of 5009

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

• 1
• 5009

Accordingly:

5009 is multiplo of 1

5009 has 1 positive divisors

## Parity of 5009

5009is an odd number,as it is not divisible by 2

## The factors for 5009

The factors for 5009 are all the numbers between -5009 and 5009 , which divide 5009 without leaving any remainder. Since 5009 divided by -5009 is an integer, -5009 is a factor of 5009 .

Since 5009 divided by -5009 is a whole number, -5009 is a factor of 5009

Since 5009 divided by -1 is a whole number, -1 is a factor of 5009

Since 5009 divided by 1 is a whole number, 1 is a factor of 5009

## What are the multiples of 5009?

Multiples of 5009 are all integers divisible by 5009 , i.e. the remainder of the full division by 5009 is zero. There are infinite multiples of 5009. The smallest multiples of 5009 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 5009 since 0 × 5009 = 0

5009 : in fact, 5009 is a multiple of itself, since 5009 is divisible by 5009 (it was 5009 / 5009 = 1, so the rest of this division is zero)

10018: in fact, 10018 = 5009 × 2

15027: in fact, 15027 = 5009 × 3

20036: in fact, 20036 = 5009 × 4

25045: in fact, 25045 = 5009 × 5

etc.

## Is 5009 a prime number?

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

for 5009, the answer is: yes, 5009 is a prime number because it only has two different divisors: 1 and itself (5009).

## 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 5009). 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 70.774 ). 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.