3331is an odd number,as it is not divisible by 2
The factors for 3331 are all the numbers between -3331 and 3331 , which divide 3331 without leaving any remainder. Since 3331 divided by -3331 is an integer, -3331 is a factor of 3331 .
Since 3331 divided by -3331 is a whole number, -3331 is a factor of 3331
Since 3331 divided by -1 is a whole number, -1 is a factor of 3331
Multiples of 3331 are all integers divisible by 3331 , i.e. the remainder of the full division by 3331 is zero. There are infinite multiples of 3331. The smallest multiples of 3331 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 3331, the answer is: yes, 3331 is a prime number because it only has two different divisors: 1 and itself (3331).
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 3331). 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 57.715 ). 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: 3329
Next prime number: 3343