# Divisors of 231

## Divisors of 231

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

Accordingly:

231 is multiplo of 1

231 is multiplo of 3

231 is multiplo of 7

231 is multiplo of 11

231 is multiplo of 21

231 is multiplo of 33

231 is multiplo of 77

231 has 7 positive divisors

## Parity of 231

231is an odd number,as it is not divisible by 2

## The factors for 231

The factors for 231 are all the numbers between -231 and 231 , which divide 231 without leaving any remainder. Since 231 divided by -231 is an integer, -231 is a factor of 231 .

Since 231 divided by -231 is a whole number, -231 is a factor of 231

Since 231 divided by -77 is a whole number, -77 is a factor of 231

Since 231 divided by -33 is a whole number, -33 is a factor of 231

Since 231 divided by -21 is a whole number, -21 is a factor of 231

Since 231 divided by -11 is a whole number, -11 is a factor of 231

Since 231 divided by -7 is a whole number, -7 is a factor of 231

Since 231 divided by -3 is a whole number, -3 is a factor of 231

Since 231 divided by -1 is a whole number, -1 is a factor of 231

Since 231 divided by 1 is a whole number, 1 is a factor of 231

Since 231 divided by 3 is a whole number, 3 is a factor of 231

Since 231 divided by 7 is a whole number, 7 is a factor of 231

Since 231 divided by 11 is a whole number, 11 is a factor of 231

Since 231 divided by 21 is a whole number, 21 is a factor of 231

Since 231 divided by 33 is a whole number, 33 is a factor of 231

Since 231 divided by 77 is a whole number, 77 is a factor of 231

## What are the multiples of 231?

Multiples of 231 are all integers divisible by 231 , i.e. the remainder of the full division by 231 is zero. There are infinite multiples of 231. The smallest multiples of 231 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 231 since 0 × 231 = 0

231 : in fact, 231 is a multiple of itself, since 231 is divisible by 231 (it was 231 / 231 = 1, so the rest of this division is zero)

462: in fact, 462 = 231 × 2

693: in fact, 693 = 231 × 3

924: in fact, 924 = 231 × 4

1155: in fact, 1155 = 231 × 5

etc.

## Is 231 a prime number?

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

for 231, the answer is: No, 231 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 231). 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 15.199 ). 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.