17987is an odd number,as it is not divisible by 2
The factors for 17987 are all the numbers between -17987 and 17987 , which divide 17987 without leaving any remainder. Since 17987 divided by -17987 is an integer, -17987 is a factor of 17987 .
Since 17987 divided by -17987 is a whole number, -17987 is a factor of 17987
Since 17987 divided by -1 is a whole number, -1 is a factor of 17987
Since 17987 divided by 1 is a whole number, 1 is a factor of 17987
Multiples of 17987 are all integers divisible by 17987 , i.e. the remainder of the full division by 17987 is zero. There are infinite multiples of 17987. The smallest multiples of 17987 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 17987 since 0 × 17987 = 0
17987 : in fact, 17987 is a multiple of itself, since 17987 is divisible by 17987 (it was 17987 / 17987 = 1, so the rest of this division is zero)
35974: in fact, 35974 = 17987 × 2
53961: in fact, 53961 = 17987 × 3
71948: in fact, 71948 = 17987 × 4
89935: in fact, 89935 = 17987 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 17987, the answer is: yes, 17987 is a prime number because it only has two different divisors: 1 and itself (17987).
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 17987). 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 134.116 ). 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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