# Divisors of 2000

## Divisors of 2000

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

Accordingly:

2000 is multiplo of 1

2000 is multiplo of 2

2000 is multiplo of 4

2000 is multiplo of 5

2000 is multiplo of 8

2000 is multiplo of 10

2000 is multiplo of 16

2000 is multiplo of 20

2000 is multiplo of 25

2000 is multiplo of 40

2000 is multiplo of 50

2000 is multiplo of 80

2000 is multiplo of 100

2000 is multiplo of 125

2000 is multiplo of 200

2000 is multiplo of 250

2000 is multiplo of 400

2000 is multiplo of 500

2000 is multiplo of 1000

2000 has 19 positive divisors

## Parity of 2000

In addition we can say of the number 2000 that it is even

2000 is an even number, as it is divisible by 2 : 2000/2 = 1000

## The factors for 2000

The factors for 2000 are all the numbers between -2000 and 2000 , which divide 2000 without leaving any remainder. Since 2000 divided by -2000 is an integer, -2000 is a factor of 2000 .

Since 2000 divided by -2000 is a whole number, -2000 is a factor of 2000

Since 2000 divided by -1000 is a whole number, -1000 is a factor of 2000

Since 2000 divided by -500 is a whole number, -500 is a factor of 2000

Since 2000 divided by -400 is a whole number, -400 is a factor of 2000

Since 2000 divided by -250 is a whole number, -250 is a factor of 2000

Since 2000 divided by -200 is a whole number, -200 is a factor of 2000

Since 2000 divided by -125 is a whole number, -125 is a factor of 2000

Since 2000 divided by -100 is a whole number, -100 is a factor of 2000

Since 2000 divided by -80 is a whole number, -80 is a factor of 2000

Since 2000 divided by -50 is a whole number, -50 is a factor of 2000

Since 2000 divided by -40 is a whole number, -40 is a factor of 2000

Since 2000 divided by -25 is a whole number, -25 is a factor of 2000

Since 2000 divided by -20 is a whole number, -20 is a factor of 2000

Since 2000 divided by -16 is a whole number, -16 is a factor of 2000

Since 2000 divided by -10 is a whole number, -10 is a factor of 2000

Since 2000 divided by -8 is a whole number, -8 is a factor of 2000

Since 2000 divided by -5 is a whole number, -5 is a factor of 2000

Since 2000 divided by -4 is a whole number, -4 is a factor of 2000

Since 2000 divided by -2 is a whole number, -2 is a factor of 2000

Since 2000 divided by -1 is a whole number, -1 is a factor of 2000

Since 2000 divided by 1 is a whole number, 1 is a factor of 2000

Since 2000 divided by 2 is a whole number, 2 is a factor of 2000

Since 2000 divided by 4 is a whole number, 4 is a factor of 2000

Since 2000 divided by 5 is a whole number, 5 is a factor of 2000

Since 2000 divided by 8 is a whole number, 8 is a factor of 2000

Since 2000 divided by 10 is a whole number, 10 is a factor of 2000

Since 2000 divided by 16 is a whole number, 16 is a factor of 2000

Since 2000 divided by 20 is a whole number, 20 is a factor of 2000

Since 2000 divided by 25 is a whole number, 25 is a factor of 2000

Since 2000 divided by 40 is a whole number, 40 is a factor of 2000

Since 2000 divided by 50 is a whole number, 50 is a factor of 2000

Since 2000 divided by 80 is a whole number, 80 is a factor of 2000

Since 2000 divided by 100 is a whole number, 100 is a factor of 2000

Since 2000 divided by 125 is a whole number, 125 is a factor of 2000

Since 2000 divided by 200 is a whole number, 200 is a factor of 2000

Since 2000 divided by 250 is a whole number, 250 is a factor of 2000

Since 2000 divided by 400 is a whole number, 400 is a factor of 2000

Since 2000 divided by 500 is a whole number, 500 is a factor of 2000

Since 2000 divided by 1000 is a whole number, 1000 is a factor of 2000

## What are the multiples of 2000?

Multiples of 2000 are all integers divisible by 2000 , i.e. the remainder of the full division by 2000 is zero. There are infinite multiples of 2000. The smallest multiples of 2000 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 2000 since 0 × 2000 = 0

2000 : in fact, 2000 is a multiple of itself, since 2000 is divisible by 2000 (it was 2000 / 2000 = 1, so the rest of this division is zero)

4000: in fact, 4000 = 2000 × 2

6000: in fact, 6000 = 2000 × 3

8000: in fact, 8000 = 2000 × 4

10000: in fact, 10000 = 2000 × 5

etc.

## Is 2000 a prime number?

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

for 2000, the answer is: No, 2000 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 2000). 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 44.721 ). 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.