797is an odd number,as it is not divisible by 2
The factors for 797 are all the numbers between -797 and 797 , which divide 797 without leaving any remainder. Since 797 divided by -797 is an integer, -797 is a factor of 797 .
Since 797 divided by -797 is a whole number, -797 is a factor of 797
Since 797 divided by -1 is a whole number, -1 is a factor of 797
Multiples of 797 are all integers divisible by 797 , i.e. the remainder of the full division by 797 is zero. There are infinite multiples of 797. The smallest multiples of 797 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 797, the answer is: yes, 797 is a prime number because it only has two different divisors: 1 and itself (797).
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 797). 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 28.231 ). 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: 787
Next prime number: 809