# Divisors of 2001

## Divisors of 2001

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

Accordingly:

2001 is multiplo of 1

2001 is multiplo of 3

2001 is multiplo of 23

2001 is multiplo of 29

2001 is multiplo of 69

2001 is multiplo of 87

2001 is multiplo of 667

2001 has 7 positive divisors

## Parity of 2001

2001is an odd number,as it is not divisible by 2

## The factors for 2001

The factors for 2001 are all the numbers between -2001 and 2001 , which divide 2001 without leaving any remainder. Since 2001 divided by -2001 is an integer, -2001 is a factor of 2001 .

Since 2001 divided by -2001 is a whole number, -2001 is a factor of 2001

Since 2001 divided by -667 is a whole number, -667 is a factor of 2001

Since 2001 divided by -87 is a whole number, -87 is a factor of 2001

Since 2001 divided by -69 is a whole number, -69 is a factor of 2001

Since 2001 divided by -29 is a whole number, -29 is a factor of 2001

Since 2001 divided by -23 is a whole number, -23 is a factor of 2001

Since 2001 divided by -3 is a whole number, -3 is a factor of 2001

Since 2001 divided by -1 is a whole number, -1 is a factor of 2001

Since 2001 divided by 1 is a whole number, 1 is a factor of 2001

Since 2001 divided by 3 is a whole number, 3 is a factor of 2001

Since 2001 divided by 23 is a whole number, 23 is a factor of 2001

Since 2001 divided by 29 is a whole number, 29 is a factor of 2001

Since 2001 divided by 69 is a whole number, 69 is a factor of 2001

Since 2001 divided by 87 is a whole number, 87 is a factor of 2001

Since 2001 divided by 667 is a whole number, 667 is a factor of 2001

## What are the multiples of 2001?

Multiples of 2001 are all integers divisible by 2001 , i.e. the remainder of the full division by 2001 is zero. There are infinite multiples of 2001. The smallest multiples of 2001 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 2001 since 0 × 2001 = 0

2001 : in fact, 2001 is a multiple of itself, since 2001 is divisible by 2001 (it was 2001 / 2001 = 1, so the rest of this division is zero)

4002: in fact, 4002 = 2001 × 2

6003: in fact, 6003 = 2001 × 3

8004: in fact, 8004 = 2001 × 4

10005: in fact, 10005 = 2001 × 5

etc.

## Is 2001 a prime number?

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

for 2001, the answer is: No, 2001 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 2001). 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 44.733 ). 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.