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1123is an odd number,as it is not divisible by 2
The factors for 1123 are all the numbers between -1123 and 1123 , which divide 1123 without leaving any remainder. Since 1123 divided by -1123 is an integer, -1123 is a factor of 1123 .
Since 1123 divided by -1123 is a whole number, -1123 is a factor of 1123
Since 1123 divided by -1 is a whole number, -1 is a factor of 1123
Since 1123 divided by 1 is a whole number, 1 is a factor of 1123
Multiples of 1123 are all integers divisible by 1123 , i.e. the remainder of the full division by 1123 is zero. There are infinite multiples of 1123. The smallest multiples of 1123 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1123 since 0 × 1123 = 0
1123 : in fact, 1123 is a multiple of itself, since 1123 is divisible by 1123 (it was 1123 / 1123 = 1, so the rest of this division is zero)
2246: in fact, 2246 = 1123 × 2
3369: in fact, 3369 = 1123 × 3
4492: in fact, 4492 = 1123 × 4
5615: in fact, 5615 = 1123 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 1123, the answer is: yes, 1123 is a prime number because it only has two different divisors: 1 and itself (1123).
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 1123). 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 33.511 ). 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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