# Divisors of 138

## Divisors of 138

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

Accordingly:

138 is multiplo of 1

138 is multiplo of 2

138 is multiplo of 3

138 is multiplo of 6

138 is multiplo of 23

138 is multiplo of 46

138 is multiplo of 69

138 has 7 positive divisors

## Parity of 138

In addition we can say of the number 138 that it is even

138 is an even number, as it is divisible by 2 : 138/2 = 69

## The factors for 138

The factors for 138 are all the numbers between -138 and 138 , which divide 138 without leaving any remainder. Since 138 divided by -138 is an integer, -138 is a factor of 138 .

Since 138 divided by -138 is a whole number, -138 is a factor of 138

Since 138 divided by -69 is a whole number, -69 is a factor of 138

Since 138 divided by -46 is a whole number, -46 is a factor of 138

Since 138 divided by -23 is a whole number, -23 is a factor of 138

Since 138 divided by -6 is a whole number, -6 is a factor of 138

Since 138 divided by -3 is a whole number, -3 is a factor of 138

Since 138 divided by -2 is a whole number, -2 is a factor of 138

Since 138 divided by -1 is a whole number, -1 is a factor of 138

Since 138 divided by 1 is a whole number, 1 is a factor of 138

Since 138 divided by 2 is a whole number, 2 is a factor of 138

Since 138 divided by 3 is a whole number, 3 is a factor of 138

Since 138 divided by 6 is a whole number, 6 is a factor of 138

Since 138 divided by 23 is a whole number, 23 is a factor of 138

Since 138 divided by 46 is a whole number, 46 is a factor of 138

Since 138 divided by 69 is a whole number, 69 is a factor of 138

## What are the multiples of 138?

Multiples of 138 are all integers divisible by 138 , i.e. the remainder of the full division by 138 is zero. There are infinite multiples of 138. The smallest multiples of 138 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 138 since 0 × 138 = 0

138 : in fact, 138 is a multiple of itself, since 138 is divisible by 138 (it was 138 / 138 = 1, so the rest of this division is zero)

276: in fact, 276 = 138 × 2

414: in fact, 414 = 138 × 3

552: in fact, 552 = 138 × 4

690: in fact, 690 = 138 × 5

etc.

## Is 138 a prime number?

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

for 138, the answer is: No, 138 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 138). 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 11.747 ). 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.