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In addition we can say of the number **638 that it is even**

638 is an even number, as it is divisible by 2 : 638/2 = 319

The factors for 638 are all the numbers between -638 and 638 , which divide 638 without leaving any remainder. Since 638 divided by -638 is an integer, -638 is a factor of 638 .

Since 638 divided by -638 is a whole number, -638 is a factor of 638

Since 638 divided by -319 is a whole number, -319 is a factor of 638

Since 638 divided by -58 is a whole number, -58 is a factor of 638

Since 638 divided by -29 is a whole number, -29 is a factor of 638

Since 638 divided by -22 is a whole number, -22 is a factor of 638

Since 638 divided by -11 is a whole number, -11 is a factor of 638

Since 638 divided by -2 is a whole number, -2 is a factor of 638

Since 638 divided by -1 is a whole number, -1 is a factor of 638

Since 638 divided by 1 is a whole number, 1 is a factor of 638

Since 638 divided by 2 is a whole number, 2 is a factor of 638

Since 638 divided by 11 is a whole number, 11 is a factor of 638

Since 638 divided by 22 is a whole number, 22 is a factor of 638

Since 638 divided by 29 is a whole number, 29 is a factor of 638

Since 638 divided by 58 is a whole number, 58 is a factor of 638

Since 638 divided by 319 is a whole number, 319 is a factor of 638

Multiples of 638 are all integers divisible by 638 , i.e. the remainder of the full division by 638 is zero. There are infinite multiples of 638. The smallest multiples of 638 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 638 since 0 × 638 = 0

638 : in fact, 638 is a multiple of itself, since 638 is divisible by 638 (it was 638 / 638 = 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 638, the answer is:
**No, 638 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 638). 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 25.259 ). 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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