# Divisors of 112

## Divisors of 112

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

Accordingly:

112 is multiplo of 1

112 is multiplo of 2

112 is multiplo of 4

112 is multiplo of 7

112 is multiplo of 8

112 is multiplo of 14

112 is multiplo of 16

112 is multiplo of 28

112 is multiplo of 56

112 has 9 positive divisors

## Parity of 112

In addition we can say of the number 112 that it is even

112 is an even number, as it is divisible by 2 : 112/2 = 56

## The factors for 112

The factors for 112 are all the numbers between -112 and 112 , which divide 112 without leaving any remainder. Since 112 divided by -112 is an integer, -112 is a factor of 112 .

Since 112 divided by -112 is a whole number, -112 is a factor of 112

Since 112 divided by -56 is a whole number, -56 is a factor of 112

Since 112 divided by -28 is a whole number, -28 is a factor of 112

Since 112 divided by -16 is a whole number, -16 is a factor of 112

Since 112 divided by -14 is a whole number, -14 is a factor of 112

Since 112 divided by -8 is a whole number, -8 is a factor of 112

Since 112 divided by -7 is a whole number, -7 is a factor of 112

Since 112 divided by -4 is a whole number, -4 is a factor of 112

Since 112 divided by -2 is a whole number, -2 is a factor of 112

Since 112 divided by -1 is a whole number, -1 is a factor of 112

Since 112 divided by 1 is a whole number, 1 is a factor of 112

Since 112 divided by 2 is a whole number, 2 is a factor of 112

Since 112 divided by 4 is a whole number, 4 is a factor of 112

Since 112 divided by 7 is a whole number, 7 is a factor of 112

Since 112 divided by 8 is a whole number, 8 is a factor of 112

Since 112 divided by 14 is a whole number, 14 is a factor of 112

Since 112 divided by 16 is a whole number, 16 is a factor of 112

Since 112 divided by 28 is a whole number, 28 is a factor of 112

Since 112 divided by 56 is a whole number, 56 is a factor of 112

## What are the multiples of 112?

Multiples of 112 are all integers divisible by 112 , i.e. the remainder of the full division by 112 is zero. There are infinite multiples of 112. The smallest multiples of 112 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 112 since 0 × 112 = 0

112 : in fact, 112 is a multiple of itself, since 112 is divisible by 112 (it was 112 / 112 = 1, so the rest of this division is zero)

224: in fact, 224 = 112 × 2

336: in fact, 336 = 112 × 3

448: in fact, 448 = 112 × 4

560: in fact, 560 = 112 × 5

etc.

## Is 112 a prime number?

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

for 112, the answer is: No, 112 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 112). 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 10.583 ). 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.