3697is an odd number,as it is not divisible by 2
The factors for 3697 are all the numbers between -3697 and 3697 , which divide 3697 without leaving any remainder. Since 3697 divided by -3697 is an integer, -3697 is a factor of 3697 .
Since 3697 divided by -3697 is a whole number, -3697 is a factor of 3697
Since 3697 divided by -1 is a whole number, -1 is a factor of 3697
Multiples of 3697 are all integers divisible by 3697 , i.e. the remainder of the full division by 3697 is zero. There are infinite multiples of 3697. The smallest multiples of 3697 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 3697, the answer is: yes, 3697 is a prime number because it only has two different divisors: 1 and itself (3697).
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 3697). 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 60.803 ). 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: 3691
Next prime number: 3701