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1171is an odd number,as it is not divisible by 2
The factors for 1171 are all the numbers between -1171 and 1171 , which divide 1171 without leaving any remainder. Since 1171 divided by -1171 is an integer, -1171 is a factor of 1171 .
Since 1171 divided by -1171 is a whole number, -1171 is a factor of 1171
Since 1171 divided by -1 is a whole number, -1 is a factor of 1171
Since 1171 divided by 1 is a whole number, 1 is a factor of 1171
Multiples of 1171 are all integers divisible by 1171 , i.e. the remainder of the full division by 1171 is zero. There are infinite multiples of 1171. The smallest multiples of 1171 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1171 since 0 × 1171 = 0
1171 : in fact, 1171 is a multiple of itself, since 1171 is divisible by 1171 (it was 1171 / 1171 = 1, so the rest of this division is zero)
2342: in fact, 2342 = 1171 × 2
3513: in fact, 3513 = 1171 × 3
4684: in fact, 4684 = 1171 × 4
5855: in fact, 5855 = 1171 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 1171, the answer is: yes, 1171 is a prime number because it only has two different divisors: 1 and itself (1171).
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 1171). 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 34.22 ). 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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