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In addition we can say of the number **238 that it is even**

238 is an even number, as it is divisible by 2 : 238/2 = 119

The factors for 238 are all the numbers between -238 and 238 , which divide 238 without leaving any remainder. Since 238 divided by -238 is an integer, -238 is a factor of 238 .

Since 238 divided by -238 is a whole number, -238 is a factor of 238

Since 238 divided by -119 is a whole number, -119 is a factor of 238

Since 238 divided by -34 is a whole number, -34 is a factor of 238

Since 238 divided by -17 is a whole number, -17 is a factor of 238

Since 238 divided by -14 is a whole number, -14 is a factor of 238

Since 238 divided by -7 is a whole number, -7 is a factor of 238

Since 238 divided by -2 is a whole number, -2 is a factor of 238

Since 238 divided by -1 is a whole number, -1 is a factor of 238

Since 238 divided by 1 is a whole number, 1 is a factor of 238

Since 238 divided by 2 is a whole number, 2 is a factor of 238

Since 238 divided by 7 is a whole number, 7 is a factor of 238

Since 238 divided by 14 is a whole number, 14 is a factor of 238

Since 238 divided by 17 is a whole number, 17 is a factor of 238

Since 238 divided by 34 is a whole number, 34 is a factor of 238

Since 238 divided by 119 is a whole number, 119 is a factor of 238

Multiples of 238 are all integers divisible by 238 , i.e. the remainder of the full division by 238 is zero. There are infinite multiples of 238. The smallest multiples of 238 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 238 since 0 × 238 = 0

238 : in fact, 238 is a multiple of itself, since 238 is divisible by 238 (it was 238 / 238 = 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 238, the answer is:
**No, 238 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 238). 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 15.427 ). 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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