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1109is an odd number,as it is not divisible by 2
The factors for 1109 are all the numbers between -1109 and 1109 , which divide 1109 without leaving any remainder. Since 1109 divided by -1109 is an integer, -1109 is a factor of 1109 .
Since 1109 divided by -1109 is a whole number, -1109 is a factor of 1109
Since 1109 divided by -1 is a whole number, -1 is a factor of 1109
Since 1109 divided by 1 is a whole number, 1 is a factor of 1109
Multiples of 1109 are all integers divisible by 1109 , i.e. the remainder of the full division by 1109 is zero. There are infinite multiples of 1109. The smallest multiples of 1109 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1109 since 0 × 1109 = 0
1109 : in fact, 1109 is a multiple of itself, since 1109 is divisible by 1109 (it was 1109 / 1109 = 1, so the rest of this division is zero)
2218: in fact, 2218 = 1109 × 2
3327: in fact, 3327 = 1109 × 3
4436: in fact, 4436 = 1109 × 4
5545: in fact, 5545 = 1109 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 1109, the answer is: yes, 1109 is a prime number because it only has two different divisors: 1 and itself (1109).
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 1109). 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 33.302 ). 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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