# Divisors of 349

## Divisors of 349

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

Accordingly:

349 is multiplo of 1

349 has 1 positive divisors

## Parity of 349

349is an odd number,as it is not divisible by 2

## The factors for 349

The factors for 349 are all the numbers between -349 and 349 , which divide 349 without leaving any remainder. Since 349 divided by -349 is an integer, -349 is a factor of 349 .

Since 349 divided by -349 is a whole number, -349 is a factor of 349

Since 349 divided by -1 is a whole number, -1 is a factor of 349

Since 349 divided by 1 is a whole number, 1 is a factor of 349

## What are the multiples of 349?

Multiples of 349 are all integers divisible by 349 , i.e. the remainder of the full division by 349 is zero. There are infinite multiples of 349. The smallest multiples of 349 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 349 since 0 × 349 = 0

349 : in fact, 349 is a multiple of itself, since 349 is divisible by 349 (it was 349 / 349 = 1, so the rest of this division is zero)

698: in fact, 698 = 349 × 2

1047: in fact, 1047 = 349 × 3

1396: in fact, 1396 = 349 × 4

1745: in fact, 1745 = 349 × 5

etc.

## Is 349 a prime number?

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

for 349, the answer is: yes, 349 is a prime number because it only has two different divisors: 1 and itself (349).

## 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 349). 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 18.682 ). 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.