# Divisors of 40

## Divisors of 40

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

Accordingly:

40 is multiplo of 1

40 is multiplo of 2

40 is multiplo of 4

40 is multiplo of 5

40 is multiplo of 8

40 is multiplo of 10

40 is multiplo of 20

40 has 7 positive divisors

## Parity of 40

In addition we can say of the number 40 that it is even

40 is an even number, as it is divisible by 2 : 40/2 = 20

## The factors for 40

The factors for 40 are all the numbers between -40 and 40 , which divide 40 without leaving any remainder. Since 40 divided by -40 is an integer, -40 is a factor of 40 .

Since 40 divided by -40 is a whole number, -40 is a factor of 40

Since 40 divided by -20 is a whole number, -20 is a factor of 40

Since 40 divided by -10 is a whole number, -10 is a factor of 40

Since 40 divided by -8 is a whole number, -8 is a factor of 40

Since 40 divided by -5 is a whole number, -5 is a factor of 40

Since 40 divided by -4 is a whole number, -4 is a factor of 40

Since 40 divided by -2 is a whole number, -2 is a factor of 40

Since 40 divided by -1 is a whole number, -1 is a factor of 40

Since 40 divided by 1 is a whole number, 1 is a factor of 40

Since 40 divided by 2 is a whole number, 2 is a factor of 40

Since 40 divided by 4 is a whole number, 4 is a factor of 40

Since 40 divided by 5 is a whole number, 5 is a factor of 40

Since 40 divided by 8 is a whole number, 8 is a factor of 40

Since 40 divided by 10 is a whole number, 10 is a factor of 40

Since 40 divided by 20 is a whole number, 20 is a factor of 40

## What are the multiples of 40?

Multiples of 40 are all integers divisible by 40 , i.e. the remainder of the full division by 40 is zero. There are infinite multiples of 40. The smallest multiples of 40 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 40 since 0 × 40 = 0

40 : in fact, 40 is a multiple of itself, since 40 is divisible by 40 (it was 40 / 40 = 1, so the rest of this division is zero)

80: in fact, 80 = 40 × 2

120: in fact, 120 = 40 × 3

160: in fact, 160 = 40 × 4

200: in fact, 200 = 40 × 5

etc.

## Is 40 a prime number?

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

for 40, the answer is: No, 40 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 40). 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 6.325 ). 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.