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In addition we can say of the number **664 that it is even**

664 is an even number, as it is divisible by 2 : 664/2 = 332

The factors for 664 are all the numbers between -664 and 664 , which divide 664 without leaving any remainder. Since 664 divided by -664 is an integer, -664 is a factor of 664 .

Since 664 divided by -664 is a whole number, -664 is a factor of 664

Since 664 divided by -332 is a whole number, -332 is a factor of 664

Since 664 divided by -166 is a whole number, -166 is a factor of 664

Since 664 divided by -83 is a whole number, -83 is a factor of 664

Since 664 divided by -8 is a whole number, -8 is a factor of 664

Since 664 divided by -4 is a whole number, -4 is a factor of 664

Since 664 divided by -2 is a whole number, -2 is a factor of 664

Since 664 divided by -1 is a whole number, -1 is a factor of 664

Since 664 divided by 1 is a whole number, 1 is a factor of 664

Since 664 divided by 2 is a whole number, 2 is a factor of 664

Since 664 divided by 4 is a whole number, 4 is a factor of 664

Since 664 divided by 8 is a whole number, 8 is a factor of 664

Since 664 divided by 83 is a whole number, 83 is a factor of 664

Since 664 divided by 166 is a whole number, 166 is a factor of 664

Since 664 divided by 332 is a whole number, 332 is a factor of 664

Multiples of 664 are all integers divisible by 664 , i.e. the remainder of the full division by 664 is zero. There are infinite multiples of 664. The smallest multiples of 664 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 664 since 0 × 664 = 0

664 : in fact, 664 is a multiple of itself, since 664 is divisible by 664 (it was 664 / 664 = 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 664, the answer is:
**No, 664 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 664). 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 25.768 ). 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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