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In addition we can say of the number **438 that it is even**

438 is an even number, as it is divisible by 2 : 438/2 = 219

The factors for 438 are all the numbers between -438 and 438 , which divide 438 without leaving any remainder. Since 438 divided by -438 is an integer, -438 is a factor of 438 .

Since 438 divided by -438 is a whole number, -438 is a factor of 438

Since 438 divided by -219 is a whole number, -219 is a factor of 438

Since 438 divided by -146 is a whole number, -146 is a factor of 438

Since 438 divided by -73 is a whole number, -73 is a factor of 438

Since 438 divided by -6 is a whole number, -6 is a factor of 438

Since 438 divided by -3 is a whole number, -3 is a factor of 438

Since 438 divided by -2 is a whole number, -2 is a factor of 438

Since 438 divided by -1 is a whole number, -1 is a factor of 438

Since 438 divided by 1 is a whole number, 1 is a factor of 438

Since 438 divided by 2 is a whole number, 2 is a factor of 438

Since 438 divided by 3 is a whole number, 3 is a factor of 438

Since 438 divided by 6 is a whole number, 6 is a factor of 438

Since 438 divided by 73 is a whole number, 73 is a factor of 438

Since 438 divided by 146 is a whole number, 146 is a factor of 438

Since 438 divided by 219 is a whole number, 219 is a factor of 438

Multiples of 438 are all integers divisible by 438 , i.e. the remainder of the full division by 438 is zero. There are infinite multiples of 438. The smallest multiples of 438 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 438 since 0 × 438 = 0

438 : in fact, 438 is a multiple of itself, since 438 is divisible by 438 (it was 438 / 438 = 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 438, the answer is:
**No, 438 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 438). 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 20.928 ). 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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