7109is an odd number,as it is not divisible by 2
The factors for 7109 are all the numbers between -7109 and 7109 , which divide 7109 without leaving any remainder. Since 7109 divided by -7109 is an integer, -7109 is a factor of 7109 .
Since 7109 divided by -7109 is a whole number, -7109 is a factor of 7109
Since 7109 divided by -1 is a whole number, -1 is a factor of 7109
Since 7109 divided by 1 is a whole number, 1 is a factor of 7109
Multiples of 7109 are all integers divisible by 7109 , i.e. the remainder of the full division by 7109 is zero. There are infinite multiples of 7109. The smallest multiples of 7109 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 7109 since 0 × 7109 = 0
7109 : in fact, 7109 is a multiple of itself, since 7109 is divisible by 7109 (it was 7109 / 7109 = 1, so the rest of this division is zero)
14218: in fact, 14218 = 7109 × 2
21327: in fact, 21327 = 7109 × 3
28436: in fact, 28436 = 7109 × 4
35545: in fact, 35545 = 7109 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 7109, the answer is: yes, 7109 is a prime number because it only has two different divisors: 1 and itself (7109).
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 7109). 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 84.315 ). 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.
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