109is an odd number,as it is not divisible by 2
The factors for 109 are all the numbers between -109 and 109 , which divide 109 without leaving any remainder. Since 109 divided by -109 is an integer, -109 is a factor of 109 .
Since 109 divided by -109 is a whole number, -109 is a factor of 109
Since 109 divided by -1 is a whole number, -1 is a factor of 109
Multiples of 109 are all integers divisible by 109 , i.e. the remainder of the full division by 109 is zero. There are infinite multiples of 109. The smallest multiples of 109 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 109, the answer is: yes, 109 is a prime number because it only has two different divisors: 1 and itself (109).
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 109). 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 10.44 ). 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: 107
Next prime number: 113