3709is an odd number,as it is not divisible by 2
The factors for 3709 are all the numbers between -3709 and 3709 , which divide 3709 without leaving any remainder. Since 3709 divided by -3709 is an integer, -3709 is a factor of 3709 .
Since 3709 divided by -3709 is a whole number, -3709 is a factor of 3709
Since 3709 divided by -1 is a whole number, -1 is a factor of 3709
Multiples of 3709 are all integers divisible by 3709 , i.e. the remainder of the full division by 3709 is zero. There are infinite multiples of 3709. The smallest multiples of 3709 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 3709, the answer is: yes, 3709 is a prime number because it only has two different divisors: 1 and itself (3709).
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 3709). 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 60.902 ). 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: 3701
Next prime number: 3719