# Divisors of 441

## Divisors of 441

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

Accordingly:

441 is multiplo of 1

441 is multiplo of 3

441 is multiplo of 7

441 is multiplo of 9

441 is multiplo of 21

441 is multiplo of 49

441 is multiplo of 63

441 is multiplo of 147

441 has 8 positive divisors

## Parity of 441

441is an odd number,as it is not divisible by 2

## The factors for 441

The factors for 441 are all the numbers between -441 and 441 , which divide 441 without leaving any remainder. Since 441 divided by -441 is an integer, -441 is a factor of 441 .

Since 441 divided by -441 is a whole number, -441 is a factor of 441

Since 441 divided by -147 is a whole number, -147 is a factor of 441

Since 441 divided by -63 is a whole number, -63 is a factor of 441

Since 441 divided by -49 is a whole number, -49 is a factor of 441

Since 441 divided by -21 is a whole number, -21 is a factor of 441

Since 441 divided by -9 is a whole number, -9 is a factor of 441

Since 441 divided by -7 is a whole number, -7 is a factor of 441

Since 441 divided by -3 is a whole number, -3 is a factor of 441

Since 441 divided by -1 is a whole number, -1 is a factor of 441

Since 441 divided by 1 is a whole number, 1 is a factor of 441

Since 441 divided by 3 is a whole number, 3 is a factor of 441

Since 441 divided by 7 is a whole number, 7 is a factor of 441

Since 441 divided by 9 is a whole number, 9 is a factor of 441

Since 441 divided by 21 is a whole number, 21 is a factor of 441

Since 441 divided by 49 is a whole number, 49 is a factor of 441

Since 441 divided by 63 is a whole number, 63 is a factor of 441

Since 441 divided by 147 is a whole number, 147 is a factor of 441

## What are the multiples of 441?

Multiples of 441 are all integers divisible by 441 , i.e. the remainder of the full division by 441 is zero. There are infinite multiples of 441. The smallest multiples of 441 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 441 since 0 × 441 = 0

441 : in fact, 441 is a multiple of itself, since 441 is divisible by 441 (it was 441 / 441 = 1, so the rest of this division is zero)

882: in fact, 882 = 441 × 2

1323: in fact, 1323 = 441 × 3

1764: in fact, 1764 = 441 × 4

2205: in fact, 2205 = 441 × 5

etc.

## Is 441 a prime number?

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

for 441, the answer is: No, 441 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 441). 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 21 ). 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.