# Divisors of 364

## Divisors of 364

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

Accordingly:

364 is multiplo of 1

364 is multiplo of 2

364 is multiplo of 4

364 is multiplo of 7

364 is multiplo of 13

364 is multiplo of 14

364 is multiplo of 26

364 is multiplo of 28

364 is multiplo of 52

364 is multiplo of 91

364 is multiplo of 182

364 has 11 positive divisors

## Parity of 364

In addition we can say of the number 364 that it is even

364 is an even number, as it is divisible by 2 : 364/2 = 182

## The factors for 364

The factors for 364 are all the numbers between -364 and 364 , which divide 364 without leaving any remainder. Since 364 divided by -364 is an integer, -364 is a factor of 364 .

Since 364 divided by -364 is a whole number, -364 is a factor of 364

Since 364 divided by -182 is a whole number, -182 is a factor of 364

Since 364 divided by -91 is a whole number, -91 is a factor of 364

Since 364 divided by -52 is a whole number, -52 is a factor of 364

Since 364 divided by -28 is a whole number, -28 is a factor of 364

Since 364 divided by -26 is a whole number, -26 is a factor of 364

Since 364 divided by -14 is a whole number, -14 is a factor of 364

Since 364 divided by -13 is a whole number, -13 is a factor of 364

Since 364 divided by -7 is a whole number, -7 is a factor of 364

Since 364 divided by -4 is a whole number, -4 is a factor of 364

Since 364 divided by -2 is a whole number, -2 is a factor of 364

Since 364 divided by -1 is a whole number, -1 is a factor of 364

Since 364 divided by 1 is a whole number, 1 is a factor of 364

Since 364 divided by 2 is a whole number, 2 is a factor of 364

Since 364 divided by 4 is a whole number, 4 is a factor of 364

Since 364 divided by 7 is a whole number, 7 is a factor of 364

Since 364 divided by 13 is a whole number, 13 is a factor of 364

Since 364 divided by 14 is a whole number, 14 is a factor of 364

Since 364 divided by 26 is a whole number, 26 is a factor of 364

Since 364 divided by 28 is a whole number, 28 is a factor of 364

Since 364 divided by 52 is a whole number, 52 is a factor of 364

Since 364 divided by 91 is a whole number, 91 is a factor of 364

Since 364 divided by 182 is a whole number, 182 is a factor of 364

## What are the multiples of 364?

Multiples of 364 are all integers divisible by 364 , i.e. the remainder of the full division by 364 is zero. There are infinite multiples of 364. The smallest multiples of 364 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 364 since 0 × 364 = 0

364 : in fact, 364 is a multiple of itself, since 364 is divisible by 364 (it was 364 / 364 = 1, so the rest of this division is zero)

728: in fact, 728 = 364 × 2

1092: in fact, 1092 = 364 × 3

1456: in fact, 1456 = 364 × 4

1820: in fact, 1820 = 364 × 5

etc.

## Is 364 a prime number?

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

for 364, the answer is: No, 364 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 364). 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 19.079 ). 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.