# Divisors of 10007

## Divisors of 10007

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

• 1
• 10007

Accordingly:

10007 is multiplo of 1

10007 has 1 positive divisors

## Parity of 10007

10007is an odd number,as it is not divisible by 2

## The factors for 10007

The factors for 10007 are all the numbers between -10007 and 10007 , which divide 10007 without leaving any remainder. Since 10007 divided by -10007 is an integer, -10007 is a factor of 10007 .

Since 10007 divided by -10007 is a whole number, -10007 is a factor of 10007

Since 10007 divided by -1 is a whole number, -1 is a factor of 10007

Since 10007 divided by 1 is a whole number, 1 is a factor of 10007

## What are the multiples of 10007?

Multiples of 10007 are all integers divisible by 10007 , i.e. the remainder of the full division by 10007 is zero. There are infinite multiples of 10007. The smallest multiples of 10007 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 10007 since 0 × 10007 = 0

10007 : in fact, 10007 is a multiple of itself, since 10007 is divisible by 10007 (it was 10007 / 10007 = 1, so the rest of this division is zero)

20014: in fact, 20014 = 10007 × 2

30021: in fact, 30021 = 10007 × 3

40028: in fact, 40028 = 10007 × 4

50035: in fact, 50035 = 10007 × 5

etc.

## Is 10007 a prime number?

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

for 10007, the answer is: yes, 10007 is a prime number because it only has two different divisors: 1 and itself (10007).

## 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 10007). 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 100.035 ). 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.