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In addition we can say of the number **814 that it is even**

814 is an even number, as it is divisible by 2 : 814/2 = 407

The factors for 814 are all the numbers between -814 and 814 , which divide 814 without leaving any remainder. Since 814 divided by -814 is an integer, -814 is a factor of 814 .

Since 814 divided by -814 is a whole number, -814 is a factor of 814

Since 814 divided by -407 is a whole number, -407 is a factor of 814

Since 814 divided by -74 is a whole number, -74 is a factor of 814

Since 814 divided by -37 is a whole number, -37 is a factor of 814

Since 814 divided by -22 is a whole number, -22 is a factor of 814

Since 814 divided by -11 is a whole number, -11 is a factor of 814

Since 814 divided by -2 is a whole number, -2 is a factor of 814

Since 814 divided by -1 is a whole number, -1 is a factor of 814

Since 814 divided by 1 is a whole number, 1 is a factor of 814

Since 814 divided by 2 is a whole number, 2 is a factor of 814

Since 814 divided by 11 is a whole number, 11 is a factor of 814

Since 814 divided by 22 is a whole number, 22 is a factor of 814

Since 814 divided by 37 is a whole number, 37 is a factor of 814

Since 814 divided by 74 is a whole number, 74 is a factor of 814

Since 814 divided by 407 is a whole number, 407 is a factor of 814

Multiples of 814 are all integers divisible by 814 , i.e. the remainder of the full division by 814 is zero. There are infinite multiples of 814. The smallest multiples of 814 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 814 since 0 × 814 = 0

814 : in fact, 814 is a multiple of itself, since 814 is divisible by 814 (it was 814 / 814 = 1, so the rest of this division is zero)

etc.

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

for 814, the answer is:
**No, 814 is not a prime number**.

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 814). 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 28.531 ). 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.

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