# Divisors of 42

## Divisors of 42

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

Accordingly:

42 is multiplo of 1

42 is multiplo of 2

42 is multiplo of 3

42 is multiplo of 6

42 is multiplo of 7

42 is multiplo of 14

42 is multiplo of 21

42 has 7 positive divisors

## Parity of 42

In addition we can say of the number 42 that it is even

42 is an even number, as it is divisible by 2 : 42/2 = 21

## The factors for 42

The factors for 42 are all the numbers between -42 and 42 , which divide 42 without leaving any remainder. Since 42 divided by -42 is an integer, -42 is a factor of 42 .

Since 42 divided by -42 is a whole number, -42 is a factor of 42

Since 42 divided by -21 is a whole number, -21 is a factor of 42

Since 42 divided by -14 is a whole number, -14 is a factor of 42

Since 42 divided by -7 is a whole number, -7 is a factor of 42

Since 42 divided by -6 is a whole number, -6 is a factor of 42

Since 42 divided by -3 is a whole number, -3 is a factor of 42

Since 42 divided by -2 is a whole number, -2 is a factor of 42

Since 42 divided by -1 is a whole number, -1 is a factor of 42

Since 42 divided by 1 is a whole number, 1 is a factor of 42

Since 42 divided by 2 is a whole number, 2 is a factor of 42

Since 42 divided by 3 is a whole number, 3 is a factor of 42

Since 42 divided by 6 is a whole number, 6 is a factor of 42

Since 42 divided by 7 is a whole number, 7 is a factor of 42

Since 42 divided by 14 is a whole number, 14 is a factor of 42

Since 42 divided by 21 is a whole number, 21 is a factor of 42

## What are the multiples of 42?

Multiples of 42 are all integers divisible by 42 , i.e. the remainder of the full division by 42 is zero. There are infinite multiples of 42. The smallest multiples of 42 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 42 since 0 × 42 = 0

42 : in fact, 42 is a multiple of itself, since 42 is divisible by 42 (it was 42 / 42 = 1, so the rest of this division is zero)

84: in fact, 84 = 42 × 2

126: in fact, 126 = 42 × 3

168: in fact, 168 = 42 × 4

210: in fact, 210 = 42 × 5

etc.

## Is 42 a prime number?

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

for 42, the answer is: No, 42 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 42). 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 6.481 ). 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.

## Numbers about 42

Previous Numbers: ... 40, 41

Next Numbers: 43, 44 ...

## Prime numbers closer to 42

Previous prime number: 41

Next prime number: 43