# Divisors of 37

## Divisors of 37

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

Accordingly:

37 is multiplo of 1

37 has 1 positive divisors

## Parity of 37

37is an odd number,as it is not divisible by 2

## The factors for 37

The factors for 37 are all the numbers between -37 and 37 , which divide 37 without leaving any remainder. Since 37 divided by -37 is an integer, -37 is a factor of 37 .

Since 37 divided by -37 is a whole number, -37 is a factor of 37

Since 37 divided by -1 is a whole number, -1 is a factor of 37

Since 37 divided by 1 is a whole number, 1 is a factor of 37

## What are the multiples of 37?

Multiples of 37 are all integers divisible by 37 , i.e. the remainder of the full division by 37 is zero. There are infinite multiples of 37. The smallest multiples of 37 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 37 since 0 × 37 = 0

37 : in fact, 37 is a multiple of itself, since 37 is divisible by 37 (it was 37 / 37 = 1, so the rest of this division is zero)

74: in fact, 74 = 37 × 2

111: in fact, 111 = 37 × 3

148: in fact, 148 = 37 × 4

185: in fact, 185 = 37 × 5

etc.

## Is 37 a prime number?

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

for 37, the answer is: yes, 37 is a prime number because it only has two different divisors: 1 and itself (37).

## 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 37). 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 6.083 ). 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.