# Divisors of 32

## Divisors of 32

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

Accordingly:

32 is multiplo of 1

32 is multiplo of 2

32 is multiplo of 4

32 is multiplo of 8

32 is multiplo of 16

32 has 5 positive divisors

## Parity of 32

In addition we can say of the number 32 that it is even

32 is an even number, as it is divisible by 2 : 32/2 = 16

## The factors for 32

The factors for 32 are all the numbers between -32 and 32 , which divide 32 without leaving any remainder. Since 32 divided by -32 is an integer, -32 is a factor of 32 .

Since 32 divided by -32 is a whole number, -32 is a factor of 32

Since 32 divided by -16 is a whole number, -16 is a factor of 32

Since 32 divided by -8 is a whole number, -8 is a factor of 32

Since 32 divided by -4 is a whole number, -4 is a factor of 32

Since 32 divided by -2 is a whole number, -2 is a factor of 32

Since 32 divided by -1 is a whole number, -1 is a factor of 32

Since 32 divided by 1 is a whole number, 1 is a factor of 32

Since 32 divided by 2 is a whole number, 2 is a factor of 32

Since 32 divided by 4 is a whole number, 4 is a factor of 32

Since 32 divided by 8 is a whole number, 8 is a factor of 32

Since 32 divided by 16 is a whole number, 16 is a factor of 32

## What are the multiples of 32?

Multiples of 32 are all integers divisible by 32 , i.e. the remainder of the full division by 32 is zero. There are infinite multiples of 32. The smallest multiples of 32 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 32 since 0 × 32 = 0

32 : in fact, 32 is a multiple of itself, since 32 is divisible by 32 (it was 32 / 32 = 1, so the rest of this division is zero)

64: in fact, 64 = 32 × 2

96: in fact, 96 = 32 × 3

128: in fact, 128 = 32 × 4

160: in fact, 160 = 32 × 5

etc.

## Is 32 a prime number?

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

for 32, the answer is: No, 32 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 32). 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 5.657 ). 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.
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