# Divisors of 1009

## Divisors of 1009

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

• 1
• 1009

Accordingly:

1009 is multiplo of 1

1009 has 1 positive divisors

## Parity of 1009

1009is an odd number,as it is not divisible by 2

## The factors for 1009

The factors for 1009 are all the numbers between -1009 and 1009 , which divide 1009 without leaving any remainder. Since 1009 divided by -1009 is an integer, -1009 is a factor of 1009 .

Since 1009 divided by -1009 is a whole number, -1009 is a factor of 1009

Since 1009 divided by -1 is a whole number, -1 is a factor of 1009

Since 1009 divided by 1 is a whole number, 1 is a factor of 1009

## What are the multiples of 1009?

Multiples of 1009 are all integers divisible by 1009 , i.e. the remainder of the full division by 1009 is zero. There are infinite multiples of 1009. The smallest multiples of 1009 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1009 since 0 × 1009 = 0

1009 : in fact, 1009 is a multiple of itself, since 1009 is divisible by 1009 (it was 1009 / 1009 = 1, so the rest of this division is zero)

2018: in fact, 2018 = 1009 × 2

3027: in fact, 3027 = 1009 × 3

4036: in fact, 4036 = 1009 × 4

5045: in fact, 5045 = 1009 × 5

etc.

## Is 1009 a prime number?

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

for 1009, the answer is: yes, 1009 is a prime number because it only has two different divisors: 1 and itself (1009).

## 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 1009). 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 31.765 ). 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.