# Divisors of 742

## Divisors of 742

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

Accordingly:

742 is multiplo of 1

742 is multiplo of 2

742 is multiplo of 7

742 is multiplo of 14

742 is multiplo of 53

742 is multiplo of 106

742 is multiplo of 371

742 has 7 positive divisors

## Parity of 742

In addition we can say of the number 742 that it is even

742 is an even number, as it is divisible by 2 : 742/2 = 371

## The factors for 742

The factors for 742 are all the numbers between -742 and 742 , which divide 742 without leaving any remainder. Since 742 divided by -742 is an integer, -742 is a factor of 742 .

Since 742 divided by -742 is a whole number, -742 is a factor of 742

Since 742 divided by -371 is a whole number, -371 is a factor of 742

Since 742 divided by -106 is a whole number, -106 is a factor of 742

Since 742 divided by -53 is a whole number, -53 is a factor of 742

Since 742 divided by -14 is a whole number, -14 is a factor of 742

Since 742 divided by -7 is a whole number, -7 is a factor of 742

Since 742 divided by -2 is a whole number, -2 is a factor of 742

Since 742 divided by -1 is a whole number, -1 is a factor of 742

Since 742 divided by 1 is a whole number, 1 is a factor of 742

Since 742 divided by 2 is a whole number, 2 is a factor of 742

Since 742 divided by 7 is a whole number, 7 is a factor of 742

Since 742 divided by 14 is a whole number, 14 is a factor of 742

Since 742 divided by 53 is a whole number, 53 is a factor of 742

Since 742 divided by 106 is a whole number, 106 is a factor of 742

Since 742 divided by 371 is a whole number, 371 is a factor of 742

## What are the multiples of 742?

Multiples of 742 are all integers divisible by 742 , i.e. the remainder of the full division by 742 is zero. There are infinite multiples of 742. The smallest multiples of 742 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 742 since 0 × 742 = 0

742 : in fact, 742 is a multiple of itself, since 742 is divisible by 742 (it was 742 / 742 = 1, so the rest of this division is zero)

1484: in fact, 1484 = 742 × 2

2226: in fact, 2226 = 742 × 3

2968: in fact, 2968 = 742 × 4

3710: in fact, 3710 = 742 × 5

etc.

## Is 742 a prime number?

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

for 742, the answer is: No, 742 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 742). 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 27.24 ). 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.