311is an odd number,as it is not divisible by 2
The factors for 311 are all the numbers between -311 and 311 , which divide 311 without leaving any remainder. Since 311 divided by -311 is an integer, -311 is a factor of 311 .
Since 311 divided by -311 is a whole number, -311 is a factor of 311
Since 311 divided by -1 is a whole number, -1 is a factor of 311
Since 311 divided by 1 is a whole number, 1 is a factor of 311
Multiples of 311 are all integers divisible by 311 , i.e. the remainder of the full division by 311 is zero. There are infinite multiples of 311. The smallest multiples of 311 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 311 since 0 × 311 = 0
311 : in fact, 311 is a multiple of itself, since 311 is divisible by 311 (it was 311 / 311 = 1, so the rest of this division is zero)
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 311, the answer is: yes, 311 is a prime number because it only has two different divisors: 1 and itself (311).
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 311). 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 17.635 ). 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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