# Divisors of 731

## Divisors of 731

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

Accordingly:

731 is multiplo of 1

731 is multiplo of 17

731 is multiplo of 43

731 has 3 positive divisors

## Parity of 731

731is an odd number,as it is not divisible by 2

## The factors for 731

The factors for 731 are all the numbers between -731 and 731 , which divide 731 without leaving any remainder. Since 731 divided by -731 is an integer, -731 is a factor of 731 .

Since 731 divided by -731 is a whole number, -731 is a factor of 731

Since 731 divided by -43 is a whole number, -43 is a factor of 731

Since 731 divided by -17 is a whole number, -17 is a factor of 731

Since 731 divided by -1 is a whole number, -1 is a factor of 731

Since 731 divided by 1 is a whole number, 1 is a factor of 731

Since 731 divided by 17 is a whole number, 17 is a factor of 731

Since 731 divided by 43 is a whole number, 43 is a factor of 731

## What are the multiples of 731?

Multiples of 731 are all integers divisible by 731 , i.e. the remainder of the full division by 731 is zero. There are infinite multiples of 731. The smallest multiples of 731 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 731 since 0 × 731 = 0

731 : in fact, 731 is a multiple of itself, since 731 is divisible by 731 (it was 731 / 731 = 1, so the rest of this division is zero)

1462: in fact, 1462 = 731 × 2

2193: in fact, 2193 = 731 × 3

2924: in fact, 2924 = 731 × 4

3655: in fact, 3655 = 731 × 5

etc.

## Is 731 a prime number?

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

for 731, the answer is: No, 731 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 731). 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 27.037 ). 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.