9871is an odd number,as it is not divisible by 2
The factors for 9871 are all the numbers between -9871 and 9871 , which divide 9871 without leaving any remainder. Since 9871 divided by -9871 is an integer, -9871 is a factor of 9871 .
Since 9871 divided by -9871 is a whole number, -9871 is a factor of 9871
Since 9871 divided by -1 is a whole number, -1 is a factor of 9871
Since 9871 divided by 1 is a whole number, 1 is a factor of 9871
Multiples of 9871 are all integers divisible by 9871 , i.e. the remainder of the full division by 9871 is zero. There are infinite multiples of 9871. The smallest multiples of 9871 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 9871 since 0 × 9871 = 0
9871 : in fact, 9871 is a multiple of itself, since 9871 is divisible by 9871 (it was 9871 / 9871 = 1, so the rest of this division is zero)
19742: in fact, 19742 = 9871 × 2
29613: in fact, 29613 = 9871 × 3
39484: in fact, 39484 = 9871 × 4
49355: in fact, 49355 = 9871 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 9871, the answer is: yes, 9871 is a prime number because it only has two different divisors: 1 and itself (9871).
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 9871). 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 99.353 ). 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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