# Divisors of 40009

## Divisors of 40009

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

• 1
• 40009

Accordingly:

40009 is multiplo of 1

40009 has 1 positive divisors

## Parity of 40009

40009is an odd number,as it is not divisible by 2

## The factors for 40009

The factors for 40009 are all the numbers between -40009 and 40009 , which divide 40009 without leaving any remainder. Since 40009 divided by -40009 is an integer, -40009 is a factor of 40009 .

Since 40009 divided by -40009 is a whole number, -40009 is a factor of 40009

Since 40009 divided by -1 is a whole number, -1 is a factor of 40009

Since 40009 divided by 1 is a whole number, 1 is a factor of 40009

## What are the multiples of 40009?

Multiples of 40009 are all integers divisible by 40009 , i.e. the remainder of the full division by 40009 is zero. There are infinite multiples of 40009. The smallest multiples of 40009 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 40009 since 0 × 40009 = 0

40009 : in fact, 40009 is a multiple of itself, since 40009 is divisible by 40009 (it was 40009 / 40009 = 1, so the rest of this division is zero)

80018: in fact, 80018 = 40009 × 2

120027: in fact, 120027 = 40009 × 3

160036: in fact, 160036 = 40009 × 4

200045: in fact, 200045 = 40009 × 5

etc.

## Is 40009 a prime number?

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

for 40009, the answer is: yes, 40009 is a prime number because it only has two different divisors: 1 and itself (40009).

## 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 40009). 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 200.022 ). 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.