# Divisors of 2007

## Divisors of 2007

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

Accordingly:

2007 is multiplo of 1

2007 is multiplo of 3

2007 is multiplo of 9

2007 is multiplo of 223

2007 is multiplo of 669

2007 has 5 positive divisors

## Parity of 2007

2007is an odd number,as it is not divisible by 2

## The factors for 2007

The factors for 2007 are all the numbers between -2007 and 2007 , which divide 2007 without leaving any remainder. Since 2007 divided by -2007 is an integer, -2007 is a factor of 2007 .

Since 2007 divided by -2007 is a whole number, -2007 is a factor of 2007

Since 2007 divided by -669 is a whole number, -669 is a factor of 2007

Since 2007 divided by -223 is a whole number, -223 is a factor of 2007

Since 2007 divided by -9 is a whole number, -9 is a factor of 2007

Since 2007 divided by -3 is a whole number, -3 is a factor of 2007

Since 2007 divided by -1 is a whole number, -1 is a factor of 2007

Since 2007 divided by 1 is a whole number, 1 is a factor of 2007

Since 2007 divided by 3 is a whole number, 3 is a factor of 2007

Since 2007 divided by 9 is a whole number, 9 is a factor of 2007

Since 2007 divided by 223 is a whole number, 223 is a factor of 2007

Since 2007 divided by 669 is a whole number, 669 is a factor of 2007

## What are the multiples of 2007?

Multiples of 2007 are all integers divisible by 2007 , i.e. the remainder of the full division by 2007 is zero. There are infinite multiples of 2007. The smallest multiples of 2007 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 2007 since 0 × 2007 = 0

2007 : in fact, 2007 is a multiple of itself, since 2007 is divisible by 2007 (it was 2007 / 2007 = 1, so the rest of this division is zero)

4014: in fact, 4014 = 2007 × 2

6021: in fact, 6021 = 2007 × 3

8028: in fact, 8028 = 2007 × 4

10035: in fact, 10035 = 2007 × 5

etc.

## Is 2007 a prime number?

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

for 2007, the answer is: No, 2007 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 2007). 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 44.8 ). 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.