# Divisors of 733

## Divisors of 733

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

Accordingly:

733 is multiplo of 1

733 has 1 positive divisors

## Parity of 733

733is an odd number,as it is not divisible by 2

## The factors for 733

The factors for 733 are all the numbers between -733 and 733 , which divide 733 without leaving any remainder. Since 733 divided by -733 is an integer, -733 is a factor of 733 .

Since 733 divided by -733 is a whole number, -733 is a factor of 733

Since 733 divided by -1 is a whole number, -1 is a factor of 733

Since 733 divided by 1 is a whole number, 1 is a factor of 733

## What are the multiples of 733?

Multiples of 733 are all integers divisible by 733 , i.e. the remainder of the full division by 733 is zero. There are infinite multiples of 733. The smallest multiples of 733 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 733 since 0 × 733 = 0

733 : in fact, 733 is a multiple of itself, since 733 is divisible by 733 (it was 733 / 733 = 1, so the rest of this division is zero)

1466: in fact, 1466 = 733 × 2

2199: in fact, 2199 = 733 × 3

2932: in fact, 2932 = 733 × 4

3665: in fact, 3665 = 733 × 5

etc.

## Is 733 a prime number?

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

for 733, the answer is: yes, 733 is a prime number because it only has two different divisors: 1 and itself (733).

## 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 733). 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 27.074 ). 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.