# Divisors of 1003

## Divisors of 1003

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

Accordingly:

1003 is multiplo of 1

1003 is multiplo of 17

1003 is multiplo of 59

1003 has 3 positive divisors

## Parity of 1003

1003is an odd number,as it is not divisible by 2

## The factors for 1003

The factors for 1003 are all the numbers between -1003 and 1003 , which divide 1003 without leaving any remainder. Since 1003 divided by -1003 is an integer, -1003 is a factor of 1003 .

Since 1003 divided by -1003 is a whole number, -1003 is a factor of 1003

Since 1003 divided by -59 is a whole number, -59 is a factor of 1003

Since 1003 divided by -17 is a whole number, -17 is a factor of 1003

Since 1003 divided by -1 is a whole number, -1 is a factor of 1003

Since 1003 divided by 1 is a whole number, 1 is a factor of 1003

Since 1003 divided by 17 is a whole number, 17 is a factor of 1003

Since 1003 divided by 59 is a whole number, 59 is a factor of 1003

## What are the multiples of 1003?

Multiples of 1003 are all integers divisible by 1003 , i.e. the remainder of the full division by 1003 is zero. There are infinite multiples of 1003. The smallest multiples of 1003 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1003 since 0 × 1003 = 0

1003 : in fact, 1003 is a multiple of itself, since 1003 is divisible by 1003 (it was 1003 / 1003 = 1, so the rest of this division is zero)

2006: in fact, 2006 = 1003 × 2

3009: in fact, 3009 = 1003 × 3

4012: in fact, 4012 = 1003 × 4

5015: in fact, 5015 = 1003 × 5

etc.

## Is 1003 a prime number?

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

for 1003, the answer is: No, 1003 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 1003). 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 31.67 ). 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.