# Divisors of 729

## Divisors of 729

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

Accordingly:

729 is multiplo of 1

729 is multiplo of 3

729 is multiplo of 9

729 is multiplo of 27

729 is multiplo of 81

729 is multiplo of 243

729 has 6 positive divisors

## Parity of 729

729is an odd number,as it is not divisible by 2

## The factors for 729

The factors for 729 are all the numbers between -729 and 729 , which divide 729 without leaving any remainder. Since 729 divided by -729 is an integer, -729 is a factor of 729 .

Since 729 divided by -729 is a whole number, -729 is a factor of 729

Since 729 divided by -243 is a whole number, -243 is a factor of 729

Since 729 divided by -81 is a whole number, -81 is a factor of 729

Since 729 divided by -27 is a whole number, -27 is a factor of 729

Since 729 divided by -9 is a whole number, -9 is a factor of 729

Since 729 divided by -3 is a whole number, -3 is a factor of 729

Since 729 divided by -1 is a whole number, -1 is a factor of 729

Since 729 divided by 1 is a whole number, 1 is a factor of 729

Since 729 divided by 3 is a whole number, 3 is a factor of 729

Since 729 divided by 9 is a whole number, 9 is a factor of 729

Since 729 divided by 27 is a whole number, 27 is a factor of 729

Since 729 divided by 81 is a whole number, 81 is a factor of 729

Since 729 divided by 243 is a whole number, 243 is a factor of 729

## What are the multiples of 729?

Multiples of 729 are all integers divisible by 729 , i.e. the remainder of the full division by 729 is zero. There are infinite multiples of 729. The smallest multiples of 729 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 729 since 0 × 729 = 0

729 : in fact, 729 is a multiple of itself, since 729 is divisible by 729 (it was 729 / 729 = 1, so the rest of this division is zero)

1458: in fact, 1458 = 729 × 2

2187: in fact, 2187 = 729 × 3

2916: in fact, 2916 = 729 × 4

3645: in fact, 3645 = 729 × 5

etc.

## Is 729 a prime number?

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

for 729, the answer is: No, 729 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 729). 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 ). 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.