# Divisors of 871

## Divisors of 871

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

Accordingly:

871 is multiplo of 1

871 is multiplo of 13

871 is multiplo of 67

871 has 3 positive divisors

## Parity of 871

871is an odd number,as it is not divisible by 2

## The factors for 871

The factors for 871 are all the numbers between -871 and 871 , which divide 871 without leaving any remainder. Since 871 divided by -871 is an integer, -871 is a factor of 871 .

Since 871 divided by -871 is a whole number, -871 is a factor of 871

Since 871 divided by -67 is a whole number, -67 is a factor of 871

Since 871 divided by -13 is a whole number, -13 is a factor of 871

Since 871 divided by -1 is a whole number, -1 is a factor of 871

Since 871 divided by 1 is a whole number, 1 is a factor of 871

Since 871 divided by 13 is a whole number, 13 is a factor of 871

Since 871 divided by 67 is a whole number, 67 is a factor of 871

## What are the multiples of 871?

Multiples of 871 are all integers divisible by 871 , i.e. the remainder of the full division by 871 is zero. There are infinite multiples of 871. The smallest multiples of 871 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 871 since 0 × 871 = 0

871 : in fact, 871 is a multiple of itself, since 871 is divisible by 871 (it was 871 / 871 = 1, so the rest of this division is zero)

1742: in fact, 1742 = 871 × 2

2613: in fact, 2613 = 871 × 3

3484: in fact, 3484 = 871 × 4

4355: in fact, 4355 = 871 × 5

etc.

## Is 871 a prime number?

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

for 871, the answer is: No, 871 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 871). 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 29.513 ). 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.