313is an odd number,as it is not divisible by 2
The factors for 313 are all the numbers between -313 and 313 , which divide 313 without leaving any remainder. Since 313 divided by -313 is an integer, -313 is a factor of 313 .
Since 313 divided by -313 is a whole number, -313 is a factor of 313
Since 313 divided by -1 is a whole number, -1 is a factor of 313
Multiples of 313 are all integers divisible by 313 , i.e. the remainder of the full division by 313 is zero. There are infinite multiples of 313. The smallest multiples of 313 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 313, the answer is: yes, 313 is a prime number because it only has two different divisors: 1 and itself (313).
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 313). 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 17.692 ). 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 prime number: 311
Next prime number: 317