3607is an odd number,as it is not divisible by 2
The factors for 3607 are all the numbers between -3607 and 3607 , which divide 3607 without leaving any remainder. Since 3607 divided by -3607 is an integer, -3607 is a factor of 3607 .
Since 3607 divided by -3607 is a whole number, -3607 is a factor of 3607
Since 3607 divided by -1 is a whole number, -1 is a factor of 3607
Multiples of 3607 are all integers divisible by 3607 , i.e. the remainder of the full division by 3607 is zero. There are infinite multiples of 3607. The smallest multiples of 3607 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 3607, the answer is: yes, 3607 is a prime number because it only has two different divisors: 1 and itself (3607).
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 3607). 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 60.058 ). 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: 3593
Next prime number: 3613