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In addition we can say of the number **824 that it is even**

824 is an even number, as it is divisible by 2 : 824/2 = 412

The factors for 824 are all the numbers between -824 and 824 , which divide 824 without leaving any remainder. Since 824 divided by -824 is an integer, -824 is a factor of 824 .

Since 824 divided by -824 is a whole number, -824 is a factor of 824

Since 824 divided by -412 is a whole number, -412 is a factor of 824

Since 824 divided by -206 is a whole number, -206 is a factor of 824

Since 824 divided by -103 is a whole number, -103 is a factor of 824

Since 824 divided by -8 is a whole number, -8 is a factor of 824

Since 824 divided by -4 is a whole number, -4 is a factor of 824

Since 824 divided by -2 is a whole number, -2 is a factor of 824

Since 824 divided by -1 is a whole number, -1 is a factor of 824

Since 824 divided by 1 is a whole number, 1 is a factor of 824

Since 824 divided by 2 is a whole number, 2 is a factor of 824

Since 824 divided by 4 is a whole number, 4 is a factor of 824

Since 824 divided by 8 is a whole number, 8 is a factor of 824

Since 824 divided by 103 is a whole number, 103 is a factor of 824

Since 824 divided by 206 is a whole number, 206 is a factor of 824

Since 824 divided by 412 is a whole number, 412 is a factor of 824

Multiples of 824 are all integers divisible by 824 , i.e. the remainder of the full division by 824 is zero. There are infinite multiples of 824. The smallest multiples of 824 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 824 since 0 × 824 = 0

824 : in fact, 824 is a multiple of itself, since 824 is divisible by 824 (it was 824 / 824 = 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 824, the answer is:
**No, 824 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 824). 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 28.705 ). 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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