# Divisors of 168

## Divisors of 168

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

Accordingly:

168 is multiplo of 1

168 is multiplo of 2

168 is multiplo of 3

168 is multiplo of 4

168 is multiplo of 6

168 is multiplo of 7

168 is multiplo of 8

168 is multiplo of 12

168 is multiplo of 14

168 is multiplo of 21

168 is multiplo of 24

168 is multiplo of 28

168 is multiplo of 42

168 is multiplo of 56

168 is multiplo of 84

168 has 15 positive divisors

## Parity of 168

In addition we can say of the number 168 that it is even

168 is an even number, as it is divisible by 2 : 168/2 = 84

## The factors for 168

The factors for 168 are all the numbers between -168 and 168 , which divide 168 without leaving any remainder. Since 168 divided by -168 is an integer, -168 is a factor of 168 .

Since 168 divided by -168 is a whole number, -168 is a factor of 168

Since 168 divided by -84 is a whole number, -84 is a factor of 168

Since 168 divided by -56 is a whole number, -56 is a factor of 168

Since 168 divided by -42 is a whole number, -42 is a factor of 168

Since 168 divided by -28 is a whole number, -28 is a factor of 168

Since 168 divided by -24 is a whole number, -24 is a factor of 168

Since 168 divided by -21 is a whole number, -21 is a factor of 168

Since 168 divided by -14 is a whole number, -14 is a factor of 168

Since 168 divided by -12 is a whole number, -12 is a factor of 168

Since 168 divided by -8 is a whole number, -8 is a factor of 168

Since 168 divided by -7 is a whole number, -7 is a factor of 168

Since 168 divided by -6 is a whole number, -6 is a factor of 168

Since 168 divided by -4 is a whole number, -4 is a factor of 168

Since 168 divided by -3 is a whole number, -3 is a factor of 168

Since 168 divided by -2 is a whole number, -2 is a factor of 168

Since 168 divided by -1 is a whole number, -1 is a factor of 168

Since 168 divided by 1 is a whole number, 1 is a factor of 168

Since 168 divided by 2 is a whole number, 2 is a factor of 168

Since 168 divided by 3 is a whole number, 3 is a factor of 168

Since 168 divided by 4 is a whole number, 4 is a factor of 168

Since 168 divided by 6 is a whole number, 6 is a factor of 168

Since 168 divided by 7 is a whole number, 7 is a factor of 168

Since 168 divided by 8 is a whole number, 8 is a factor of 168

Since 168 divided by 12 is a whole number, 12 is a factor of 168

Since 168 divided by 14 is a whole number, 14 is a factor of 168

Since 168 divided by 21 is a whole number, 21 is a factor of 168

Since 168 divided by 24 is a whole number, 24 is a factor of 168

Since 168 divided by 28 is a whole number, 28 is a factor of 168

Since 168 divided by 42 is a whole number, 42 is a factor of 168

Since 168 divided by 56 is a whole number, 56 is a factor of 168

Since 168 divided by 84 is a whole number, 84 is a factor of 168

## What are the multiples of 168?

Multiples of 168 are all integers divisible by 168 , i.e. the remainder of the full division by 168 is zero. There are infinite multiples of 168. The smallest multiples of 168 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 168 since 0 × 168 = 0

168 : in fact, 168 is a multiple of itself, since 168 is divisible by 168 (it was 168 / 168 = 1, so the rest of this division is zero)

336: in fact, 336 = 168 × 2

504: in fact, 504 = 168 × 3

672: in fact, 672 = 168 × 4

840: in fact, 840 = 168 × 5

etc.

## Is 168 a prime number?

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

for 168, the answer is: No, 168 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 168). 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 12.961 ). 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.