# Divisors of 10

## Divisors of 10

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

Accordingly:

10 is multiplo of 1

10 is multiplo of 2

10 is multiplo of 5

10 has 3 positive divisors

## Parity of 10

In addition we can say of the number 10 that it is even

10 is an even number, as it is divisible by 2 : 10/2 = 5

## The factors for 10

The factors for 10 are all the numbers between -10 and 10 , which divide 10 without leaving any remainder. Since 10 divided by -10 is an integer, -10 is a factor of 10 .

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

Since 10 divided by -5 is a whole number, -5 is a factor of 10

Since 10 divided by -2 is a whole number, -2 is a factor of 10

Since 10 divided by -1 is a whole number, -1 is a factor of 10

Since 10 divided by 1 is a whole number, 1 is a factor of 10

Since 10 divided by 2 is a whole number, 2 is a factor of 10

Since 10 divided by 5 is a whole number, 5 is a factor of 10

## What are the multiples of 10?

Multiples of 10 are all integers divisible by 10 , i.e. the remainder of the full division by 10 is zero. There are infinite multiples of 10. The smallest multiples of 10 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 10 since 0 × 10 = 0

10 : in fact, 10 is a multiple of itself, since 10 is divisible by 10 (it was 10 / 10 = 1, so the rest of this division is zero)

20: in fact, 20 = 10 × 2

30: in fact, 30 = 10 × 3

40: in fact, 40 = 10 × 4

50: in fact, 50 = 10 × 5

etc.

## Is 10 a prime number?

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

for 10, the answer is: No, 10 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 10). 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 3.162 ). 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.