# Divisors of 15

## Divisors of 15

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

Accordingly:

15 is multiplo of 1

15 is multiplo of 3

15 is multiplo of 5

15 has 3 positive divisors

## Parity of 15

15is an odd number,as it is not divisible by 2

## The factors for 15

The factors for 15 are all the numbers between -15 and 15 , which divide 15 without leaving any remainder. Since 15 divided by -15 is an integer, -15 is a factor of 15 .

Since 15 divided by -15 is a whole number, -15 is a factor of 15

Since 15 divided by -5 is a whole number, -5 is a factor of 15

Since 15 divided by -3 is a whole number, -3 is a factor of 15

Since 15 divided by -1 is a whole number, -1 is a factor of 15

Since 15 divided by 1 is a whole number, 1 is a factor of 15

Since 15 divided by 3 is a whole number, 3 is a factor of 15

Since 15 divided by 5 is a whole number, 5 is a factor of 15

## What are the multiples of 15?

Multiples of 15 are all integers divisible by 15 , i.e. the remainder of the full division by 15 is zero. There are infinite multiples of 15. The smallest multiples of 15 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 15 since 0 × 15 = 0

15 : in fact, 15 is a multiple of itself, since 15 is divisible by 15 (it was 15 / 15 = 1, so the rest of this division is zero)

30: in fact, 30 = 15 × 2

45: in fact, 45 = 15 × 3

60: in fact, 60 = 15 × 4

75: in fact, 75 = 15 × 5

etc.

## Is 15 a prime number?

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

for 15, the answer is: No, 15 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 15). 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 3.873 ). 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.