# Divisors of 971

## Divisors of 971

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

Accordingly:

971 is multiplo of 1

971 has 1 positive divisors

## Parity of 971

971is an odd number,as it is not divisible by 2

## The factors for 971

The factors for 971 are all the numbers between -971 and 971 , which divide 971 without leaving any remainder. Since 971 divided by -971 is an integer, -971 is a factor of 971 .

Since 971 divided by -971 is a whole number, -971 is a factor of 971

Since 971 divided by -1 is a whole number, -1 is a factor of 971

Since 971 divided by 1 is a whole number, 1 is a factor of 971

## What are the multiples of 971?

Multiples of 971 are all integers divisible by 971 , i.e. the remainder of the full division by 971 is zero. There are infinite multiples of 971. The smallest multiples of 971 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 971 since 0 × 971 = 0

971 : in fact, 971 is a multiple of itself, since 971 is divisible by 971 (it was 971 / 971 = 1, so the rest of this division is zero)

1942: in fact, 1942 = 971 × 2

2913: in fact, 2913 = 971 × 3

3884: in fact, 3884 = 971 × 4

4855: in fact, 4855 = 971 × 5

etc.

## Is 971 a prime number?

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

for 971, the answer is: yes, 971 is a prime number because it only has two different divisors: 1 and itself (971).

## 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 971). 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 31.161 ). 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.