## Divisors of 4001

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

Accordingly:

**4001** is multiplo of **1**

**4001** has **1 positive divisors **

## Parity of 4001

**4001is an odd number**,as it is not divisible by 2

## The factors for 4001

The factors for 4001 are all the numbers between -4001 and 4001 , which divide 4001 without leaving any remainder. Since 4001 divided by -4001 is an integer, -4001 is a factor of 4001 .

Since 4001 divided by -4001 is a whole number, -4001 is a factor of 4001

Since 4001 divided by -1 is a whole number, -1 is a factor of 4001

Since 4001 divided by 1 is a whole number, 1 is a factor of 4001

## What are the multiples of 4001?

Multiples of 4001 are all integers divisible by 4001 , i.e. the remainder of the full division by 4001 is zero. There are infinite multiples of 4001. The smallest multiples of 4001 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 4001 since 0 × 4001 = 0

4001 : in fact, 4001 is a multiple of itself, since 4001 is divisible by 4001 (it was 4001 / 4001 = 1, so the rest of this division is zero)

8002: in fact, 8002 = 4001 × 2

12003: in fact, 12003 = 4001 × 3

16004: in fact, 16004 = 4001 × 4

20005: in fact, 20005 = 4001 × 5

etc.

## Is 4001 a prime number?

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

for 4001, the answer is:
**yes, ****4001** is a prime number because it only has two different divisors: **1** and itself (**4001**).

## 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 4001). 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 63.253 ). 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.

## Numbers about 4001

Previous Numbers: ... 3999, 4000

Next Numbers: 4002, 4003 ...

## Prime numbers closer to 4001

Previous prime number: 3989

Next prime number: 4003