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In addition we can say of the number **642 that it is even**

642 is an even number, as it is divisible by 2 : 642/2 = 321

The factors for 642 are all the numbers between -642 and 642 , which divide 642 without leaving any remainder. Since 642 divided by -642 is an integer, -642 is a factor of 642 .

Since 642 divided by -642 is a whole number, -642 is a factor of 642

Since 642 divided by -321 is a whole number, -321 is a factor of 642

Since 642 divided by -214 is a whole number, -214 is a factor of 642

Since 642 divided by -107 is a whole number, -107 is a factor of 642

Since 642 divided by -6 is a whole number, -6 is a factor of 642

Since 642 divided by -3 is a whole number, -3 is a factor of 642

Since 642 divided by -2 is a whole number, -2 is a factor of 642

Since 642 divided by -1 is a whole number, -1 is a factor of 642

Since 642 divided by 1 is a whole number, 1 is a factor of 642

Since 642 divided by 2 is a whole number, 2 is a factor of 642

Since 642 divided by 3 is a whole number, 3 is a factor of 642

Since 642 divided by 6 is a whole number, 6 is a factor of 642

Since 642 divided by 107 is a whole number, 107 is a factor of 642

Since 642 divided by 214 is a whole number, 214 is a factor of 642

Since 642 divided by 321 is a whole number, 321 is a factor of 642

Multiples of 642 are all integers divisible by 642 , i.e. the remainder of the full division by 642 is zero. There are infinite multiples of 642. The smallest multiples of 642 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 642 since 0 × 642 = 0

642 : in fact, 642 is a multiple of itself, since 642 is divisible by 642 (it was 642 / 642 = 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 642, the answer is:
**No, 642 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 642). 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 25.338 ). 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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Next prime number: 643

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