13709is an odd number,as it is not divisible by 2
The factors for 13709 are all the numbers between -13709 and 13709 , which divide 13709 without leaving any remainder. Since 13709 divided by -13709 is an integer, -13709 is a factor of 13709 .
Since 13709 divided by -13709 is a whole number, -13709 is a factor of 13709
Since 13709 divided by -1 is a whole number, -1 is a factor of 13709
Multiples of 13709 are all integers divisible by 13709 , i.e. the remainder of the full division by 13709 is zero. There are infinite multiples of 13709. The smallest multiples of 13709 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 13709, the answer is: yes, 13709 is a prime number because it only has two different divisors: 1 and itself (13709).
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 13709). 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 117.085 ). 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: 13697
Next prime number: 13711