In addition we can say of the number 338 that it is even
338 is an even number, as it is divisible by 2 : 338/2 = 169
The factors for 338 are all the numbers between -338 and 338 , which divide 338 without leaving any remainder. Since 338 divided by -338 is an integer, -338 is a factor of 338 .
Since 338 divided by -338 is a whole number, -338 is a factor of 338
Since 338 divided by -169 is a whole number, -169 is a factor of 338
Since 338 divided by -26 is a whole number, -26 is a factor of 338
Since 338 divided by -13 is a whole number, -13 is a factor of 338
Since 338 divided by -2 is a whole number, -2 is a factor of 338
Since 338 divided by -1 is a whole number, -1 is a factor of 338
Since 338 divided by 1 is a whole number, 1 is a factor of 338
Since 338 divided by 2 is a whole number, 2 is a factor of 338
Since 338 divided by 13 is a whole number, 13 is a factor of 338
Since 338 divided by 26 is a whole number, 26 is a factor of 338
Since 338 divided by 169 is a whole number, 169 is a factor of 338
Multiples of 338 are all integers divisible by 338 , i.e. the remainder of the full division by 338 is zero. There are infinite multiples of 338. The smallest multiples of 338 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 338 since 0 × 338 = 0
338 : in fact, 338 is a multiple of itself, since 338 is divisible by 338 (it was 338 / 338 = 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 338, the answer is: No, 338 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 338). 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 18.385 ). 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.
Previous Numbers: ... 336, 337
Previous prime number: 337
Next prime number: 347