# Divisors of 167

## Divisors of 167

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

Accordingly:

167 is multiplo of 1

167 has 1 positive divisors

## Parity of 167

167is an odd number,as it is not divisible by 2

## The factors for 167

The factors for 167 are all the numbers between -167 and 167 , which divide 167 without leaving any remainder. Since 167 divided by -167 is an integer, -167 is a factor of 167 .

Since 167 divided by -167 is a whole number, -167 is a factor of 167

Since 167 divided by -1 is a whole number, -1 is a factor of 167

Since 167 divided by 1 is a whole number, 1 is a factor of 167

## What are the multiples of 167?

Multiples of 167 are all integers divisible by 167 , i.e. the remainder of the full division by 167 is zero. There are infinite multiples of 167. The smallest multiples of 167 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 167 since 0 × 167 = 0

167 : in fact, 167 is a multiple of itself, since 167 is divisible by 167 (it was 167 / 167 = 1, so the rest of this division is zero)

334: in fact, 334 = 167 × 2

501: in fact, 501 = 167 × 3

668: in fact, 668 = 167 × 4

835: in fact, 835 = 167 × 5

etc.

## Is 167 a prime number?

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

for 167, the answer is: yes, 167 is a prime number because it only has two different divisors: 1 and itself (167).

## 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 167). 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 12.923 ). 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.