# Divisors of 173

## Divisors of 173

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

Accordingly:

173 is multiplo of 1

173 has 1 positive divisors

## Parity of 173

173is an odd number,as it is not divisible by 2

## The factors for 173

The factors for 173 are all the numbers between -173 and 173 , which divide 173 without leaving any remainder. Since 173 divided by -173 is an integer, -173 is a factor of 173 .

Since 173 divided by -173 is a whole number, -173 is a factor of 173

Since 173 divided by -1 is a whole number, -1 is a factor of 173

Since 173 divided by 1 is a whole number, 1 is a factor of 173

## What are the multiples of 173?

Multiples of 173 are all integers divisible by 173 , i.e. the remainder of the full division by 173 is zero. There are infinite multiples of 173. The smallest multiples of 173 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 173 since 0 × 173 = 0

173 : in fact, 173 is a multiple of itself, since 173 is divisible by 173 (it was 173 / 173 = 1, so the rest of this division is zero)

346: in fact, 346 = 173 × 2

519: in fact, 519 = 173 × 3

692: in fact, 692 = 173 × 4

865: in fact, 865 = 173 × 5

etc.

## Is 173 a prime number?

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

for 173, the answer is: yes, 173 is a prime number because it only has two different divisors: 1 and itself (173).

## 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 173). 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 13.153 ). 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.