6997is an odd number,as it is not divisible by 2
The factors for 6997 are all the numbers between -6997 and 6997 , which divide 6997 without leaving any remainder. Since 6997 divided by -6997 is an integer, -6997 is a factor of 6997 .
Since 6997 divided by -6997 is a whole number, -6997 is a factor of 6997
Since 6997 divided by -1 is a whole number, -1 is a factor of 6997
Multiples of 6997 are all integers divisible by 6997 , i.e. the remainder of the full division by 6997 is zero. There are infinite multiples of 6997. The smallest multiples of 6997 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 6997, the answer is: yes, 6997 is a prime number because it only has two different divisors: 1 and itself (6997).
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 6997). 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 83.648 ). 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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Next prime number: 7001