9931is an odd number,as it is not divisible by 2
The factors for 9931 are all the numbers between -9931 and 9931 , which divide 9931 without leaving any remainder. Since 9931 divided by -9931 is an integer, -9931 is a factor of 9931 .
Since 9931 divided by -9931 is a whole number, -9931 is a factor of 9931
Since 9931 divided by -1 is a whole number, -1 is a factor of 9931
Multiples of 9931 are all integers divisible by 9931 , i.e. the remainder of the full division by 9931 is zero. There are infinite multiples of 9931. The smallest multiples of 9931 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 9931, the answer is: yes, 9931 is a prime number because it only has two different divisors: 1 and itself (9931).
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 9931). 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 99.654 ). 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: 9929
Next prime number: 9941