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16987is an odd number,as it is not divisible by 2
The factors for 16987 are all the numbers between -16987 and 16987 , which divide 16987 without leaving any remainder. Since 16987 divided by -16987 is an integer, -16987 is a factor of 16987 .
Since 16987 divided by -16987 is a whole number, -16987 is a factor of 16987
Since 16987 divided by -1 is a whole number, -1 is a factor of 16987
Since 16987 divided by 1 is a whole number, 1 is a factor of 16987
Multiples of 16987 are all integers divisible by 16987 , i.e. the remainder of the full division by 16987 is zero. There are infinite multiples of 16987. The smallest multiples of 16987 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 16987 since 0 × 16987 = 0
16987 : in fact, 16987 is a multiple of itself, since 16987 is divisible by 16987 (it was 16987 / 16987 = 1, so the rest of this division is zero)
33974: in fact, 33974 = 16987 × 2
50961: in fact, 50961 = 16987 × 3
67948: in fact, 67948 = 16987 × 4
84935: in fact, 84935 = 16987 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 16987, the answer is: yes, 16987 is a prime number because it only has two different divisors: 1 and itself (16987).
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 16987). 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 130.334 ). 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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