11987is an odd number,as it is not divisible by 2
The factors for 11987 are all the numbers between -11987 and 11987 , which divide 11987 without leaving any remainder. Since 11987 divided by -11987 is an integer, -11987 is a factor of 11987 .
Since 11987 divided by -11987 is a whole number, -11987 is a factor of 11987
Since 11987 divided by -1 is a whole number, -1 is a factor of 11987
Since 11987 divided by 1 is a whole number, 1 is a factor of 11987
Multiples of 11987 are all integers divisible by 11987 , i.e. the remainder of the full division by 11987 is zero. There are infinite multiples of 11987. The smallest multiples of 11987 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 11987 since 0 × 11987 = 0
11987 : in fact, 11987 is a multiple of itself, since 11987 is divisible by 11987 (it was 11987 / 11987 = 1, so the rest of this division is zero)
23974: in fact, 23974 = 11987 × 2
35961: in fact, 35961 = 11987 × 3
47948: in fact, 47948 = 11987 × 4
59935: in fact, 59935 = 11987 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 11987, the answer is: yes, 11987 is a prime number because it only has two different divisors: 1 and itself (11987).
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 11987). 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 109.485 ). 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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