# Divisors of 97

## Divisors of 97

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

Accordingly:

97 is multiplo of 1

97 has 1 positive divisors

## Parity of 97

97is an odd number,as it is not divisible by 2

## The factors for 97

The factors for 97 are all the numbers between -97 and 97 , which divide 97 without leaving any remainder. Since 97 divided by -97 is an integer, -97 is a factor of 97 .

Since 97 divided by -97 is a whole number, -97 is a factor of 97

Since 97 divided by -1 is a whole number, -1 is a factor of 97

Since 97 divided by 1 is a whole number, 1 is a factor of 97

## What are the multiples of 97?

Multiples of 97 are all integers divisible by 97 , i.e. the remainder of the full division by 97 is zero. There are infinite multiples of 97. The smallest multiples of 97 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 97 since 0 × 97 = 0

97 : in fact, 97 is a multiple of itself, since 97 is divisible by 97 (it was 97 / 97 = 1, so the rest of this division is zero)

194: in fact, 194 = 97 × 2

291: in fact, 291 = 97 × 3

388: in fact, 388 = 97 × 4

485: in fact, 485 = 97 × 5

etc.

## Is 97 a prime number?

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

for 97, the answer is: yes, 97 is a prime number because it only has two different divisors: 1 and itself (97).

## 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 97). 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 9.849 ). 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.