# Divisors of 48

## Divisors of 48

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

Accordingly:

48 is multiplo of 1

48 is multiplo of 2

48 is multiplo of 3

48 is multiplo of 4

48 is multiplo of 6

48 is multiplo of 8

48 is multiplo of 12

48 is multiplo of 16

48 is multiplo of 24

48 has 9 positive divisors

## Parity of 48

In addition we can say of the number 48 that it is even

48 is an even number, as it is divisible by 2 : 48/2 = 24

## The factors for 48

The factors for 48 are all the numbers between -48 and 48 , which divide 48 without leaving any remainder. Since 48 divided by -48 is an integer, -48 is a factor of 48 .

Since 48 divided by -48 is a whole number, -48 is a factor of 48

Since 48 divided by -24 is a whole number, -24 is a factor of 48

Since 48 divided by -16 is a whole number, -16 is a factor of 48

Since 48 divided by -12 is a whole number, -12 is a factor of 48

Since 48 divided by -8 is a whole number, -8 is a factor of 48

Since 48 divided by -6 is a whole number, -6 is a factor of 48

Since 48 divided by -4 is a whole number, -4 is a factor of 48

Since 48 divided by -3 is a whole number, -3 is a factor of 48

Since 48 divided by -2 is a whole number, -2 is a factor of 48

Since 48 divided by -1 is a whole number, -1 is a factor of 48

Since 48 divided by 1 is a whole number, 1 is a factor of 48

Since 48 divided by 2 is a whole number, 2 is a factor of 48

Since 48 divided by 3 is a whole number, 3 is a factor of 48

Since 48 divided by 4 is a whole number, 4 is a factor of 48

Since 48 divided by 6 is a whole number, 6 is a factor of 48

Since 48 divided by 8 is a whole number, 8 is a factor of 48

Since 48 divided by 12 is a whole number, 12 is a factor of 48

Since 48 divided by 16 is a whole number, 16 is a factor of 48

Since 48 divided by 24 is a whole number, 24 is a factor of 48

## What are the multiples of 48?

Multiples of 48 are all integers divisible by 48 , i.e. the remainder of the full division by 48 is zero. There are infinite multiples of 48. The smallest multiples of 48 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 48 since 0 × 48 = 0

48 : in fact, 48 is a multiple of itself, since 48 is divisible by 48 (it was 48 / 48 = 1, so the rest of this division is zero)

96: in fact, 96 = 48 × 2

144: in fact, 144 = 48 × 3

192: in fact, 192 = 48 × 4

240: in fact, 240 = 48 × 5

etc.

## Is 48 a prime number?

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

for 48, the answer is: No, 48 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 48). 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 6.928 ). 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.