# Divisors of 40013

## Divisors of 40013

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

• 1
• 40013

Accordingly:

40013 is multiplo of 1

40013 has 1 positive divisors

## Parity of 40013

40013is an odd number,as it is not divisible by 2

## The factors for 40013

The factors for 40013 are all the numbers between -40013 and 40013 , which divide 40013 without leaving any remainder. Since 40013 divided by -40013 is an integer, -40013 is a factor of 40013 .

Since 40013 divided by -40013 is a whole number, -40013 is a factor of 40013

Since 40013 divided by -1 is a whole number, -1 is a factor of 40013

Since 40013 divided by 1 is a whole number, 1 is a factor of 40013

## What are the multiples of 40013?

Multiples of 40013 are all integers divisible by 40013 , i.e. the remainder of the full division by 40013 is zero. There are infinite multiples of 40013. The smallest multiples of 40013 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 40013 since 0 × 40013 = 0

40013 : in fact, 40013 is a multiple of itself, since 40013 is divisible by 40013 (it was 40013 / 40013 = 1, so the rest of this division is zero)

80026: in fact, 80026 = 40013 × 2

120039: in fact, 120039 = 40013 × 3

160052: in fact, 160052 = 40013 × 4

200065: in fact, 200065 = 40013 × 5

etc.

## Is 40013 a prime number?

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

for 40013, the answer is: yes, 40013 is a prime number because it only has two different divisors: 1 and itself (40013).

## 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 40013). 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 200.032 ). 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.