# Divisors of 2003

## Divisors of 2003

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

• 1
• 2003

Accordingly:

2003 is multiplo of 1

2003 has 1 positive divisors

## Parity of 2003

2003is an odd number,as it is not divisible by 2

## The factors for 2003

The factors for 2003 are all the numbers between -2003 and 2003 , which divide 2003 without leaving any remainder. Since 2003 divided by -2003 is an integer, -2003 is a factor of 2003 .

Since 2003 divided by -2003 is a whole number, -2003 is a factor of 2003

Since 2003 divided by -1 is a whole number, -1 is a factor of 2003

Since 2003 divided by 1 is a whole number, 1 is a factor of 2003

## What are the multiples of 2003?

Multiples of 2003 are all integers divisible by 2003 , i.e. the remainder of the full division by 2003 is zero. There are infinite multiples of 2003. The smallest multiples of 2003 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 2003 since 0 × 2003 = 0

2003 : in fact, 2003 is a multiple of itself, since 2003 is divisible by 2003 (it was 2003 / 2003 = 1, so the rest of this division is zero)

4006: in fact, 4006 = 2003 × 2

6009: in fact, 6009 = 2003 × 3

8012: in fact, 8012 = 2003 × 4

10015: in fact, 10015 = 2003 × 5

etc.

## Is 2003 a prime number?

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

for 2003, the answer is: yes, 2003 is a prime number because it only has two different divisors: 1 and itself (2003).

## 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 2003). 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 44.755 ). 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.