# Divisors of 1001

## Divisors of 1001

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

Accordingly:

1001 is multiplo of 1

1001 is multiplo of 7

1001 is multiplo of 11

1001 is multiplo of 13

1001 is multiplo of 77

1001 is multiplo of 91

1001 is multiplo of 143

1001 has 7 positive divisors

## Parity of 1001

1001is an odd number,as it is not divisible by 2

## The factors for 1001

The factors for 1001 are all the numbers between -1001 and 1001 , which divide 1001 without leaving any remainder. Since 1001 divided by -1001 is an integer, -1001 is a factor of 1001 .

Since 1001 divided by -1001 is a whole number, -1001 is a factor of 1001

Since 1001 divided by -143 is a whole number, -143 is a factor of 1001

Since 1001 divided by -91 is a whole number, -91 is a factor of 1001

Since 1001 divided by -77 is a whole number, -77 is a factor of 1001

Since 1001 divided by -13 is a whole number, -13 is a factor of 1001

Since 1001 divided by -11 is a whole number, -11 is a factor of 1001

Since 1001 divided by -7 is a whole number, -7 is a factor of 1001

Since 1001 divided by -1 is a whole number, -1 is a factor of 1001

Since 1001 divided by 1 is a whole number, 1 is a factor of 1001

Since 1001 divided by 7 is a whole number, 7 is a factor of 1001

Since 1001 divided by 11 is a whole number, 11 is a factor of 1001

Since 1001 divided by 13 is a whole number, 13 is a factor of 1001

Since 1001 divided by 77 is a whole number, 77 is a factor of 1001

Since 1001 divided by 91 is a whole number, 91 is a factor of 1001

Since 1001 divided by 143 is a whole number, 143 is a factor of 1001

## What are the multiples of 1001?

Multiples of 1001 are all integers divisible by 1001 , i.e. the remainder of the full division by 1001 is zero. There are infinite multiples of 1001. The smallest multiples of 1001 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1001 since 0 × 1001 = 0

1001 : in fact, 1001 is a multiple of itself, since 1001 is divisible by 1001 (it was 1001 / 1001 = 1, so the rest of this division is zero)

2002: in fact, 2002 = 1001 × 2

3003: in fact, 3003 = 1001 × 3

4004: in fact, 4004 = 1001 × 4

5005: in fact, 5005 = 1001 × 5

etc.

## Is 1001 a prime number?

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

for 1001, the answer is: No, 1001 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 1001). 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 31.639 ). 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.