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1163is an odd number,as it is not divisible by 2
The factors for 1163 are all the numbers between -1163 and 1163 , which divide 1163 without leaving any remainder. Since 1163 divided by -1163 is an integer, -1163 is a factor of 1163 .
Since 1163 divided by -1163 is a whole number, -1163 is a factor of 1163
Since 1163 divided by -1 is a whole number, -1 is a factor of 1163
Since 1163 divided by 1 is a whole number, 1 is a factor of 1163
Multiples of 1163 are all integers divisible by 1163 , i.e. the remainder of the full division by 1163 is zero. There are infinite multiples of 1163. The smallest multiples of 1163 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1163 since 0 × 1163 = 0
1163 : in fact, 1163 is a multiple of itself, since 1163 is divisible by 1163 (it was 1163 / 1163 = 1, so the rest of this division is zero)
2326: in fact, 2326 = 1163 × 2
3489: in fact, 3489 = 1163 × 3
4652: in fact, 4652 = 1163 × 4
5815: in fact, 5815 = 1163 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 1163, the answer is: yes, 1163 is a prime number because it only has two different divisors: 1 and itself (1163).
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 1163). 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 34.103 ). 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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