# Divisors of 40709

## Divisors of 40709

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

• 1
• 40709

Accordingly:

40709 is multiplo of 1

40709 has 1 positive divisors

## Parity of 40709

40709is an odd number,as it is not divisible by 2

## The factors for 40709

The factors for 40709 are all the numbers between -40709 and 40709 , which divide 40709 without leaving any remainder. Since 40709 divided by -40709 is an integer, -40709 is a factor of 40709 .

Since 40709 divided by -40709 is a whole number, -40709 is a factor of 40709

Since 40709 divided by -1 is a whole number, -1 is a factor of 40709

Since 40709 divided by 1 is a whole number, 1 is a factor of 40709

## What are the multiples of 40709?

Multiples of 40709 are all integers divisible by 40709 , i.e. the remainder of the full division by 40709 is zero. There are infinite multiples of 40709. The smallest multiples of 40709 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 40709 since 0 × 40709 = 0

40709 : in fact, 40709 is a multiple of itself, since 40709 is divisible by 40709 (it was 40709 / 40709 = 1, so the rest of this division is zero)

81418: in fact, 81418 = 40709 × 2

122127: in fact, 122127 = 40709 × 3

162836: in fact, 162836 = 40709 × 4

203545: in fact, 203545 = 40709 × 5

etc.

## Is 40709 a prime number?

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

for 40709, the answer is: yes, 40709 is a prime number because it only has two different divisors: 1 and itself (40709).

## 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 40709). 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 201.765 ). 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.