# Divisors of 1409

## Divisors of 1409

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

• 1
• 1409

Accordingly:

1409 is multiplo of 1

1409 has 1 positive divisors

## Parity of 1409

1409is an odd number,as it is not divisible by 2

## The factors for 1409

The factors for 1409 are all the numbers between -1409 and 1409 , which divide 1409 without leaving any remainder. Since 1409 divided by -1409 is an integer, -1409 is a factor of 1409 .

Since 1409 divided by -1409 is a whole number, -1409 is a factor of 1409

Since 1409 divided by -1 is a whole number, -1 is a factor of 1409

Since 1409 divided by 1 is a whole number, 1 is a factor of 1409

## What are the multiples of 1409?

Multiples of 1409 are all integers divisible by 1409 , i.e. the remainder of the full division by 1409 is zero. There are infinite multiples of 1409. The smallest multiples of 1409 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1409 since 0 × 1409 = 0

1409 : in fact, 1409 is a multiple of itself, since 1409 is divisible by 1409 (it was 1409 / 1409 = 1, so the rest of this division is zero)

2818: in fact, 2818 = 1409 × 2

4227: in fact, 4227 = 1409 × 3

5636: in fact, 5636 = 1409 × 4

7045: in fact, 7045 = 1409 × 5

etc.

## Is 1409 a prime number?

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

for 1409, the answer is: yes, 1409 is a prime number because it only has two different divisors: 1 and itself (1409).

## 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 1409). 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 37.537 ). 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.