16979is an odd number,as it is not divisible by 2
The factors for 16979 are all the numbers between -16979 and 16979 , which divide 16979 without leaving any remainder. Since 16979 divided by -16979 is an integer, -16979 is a factor of 16979 .
Since 16979 divided by -16979 is a whole number, -16979 is a factor of 16979
Since 16979 divided by -1 is a whole number, -1 is a factor of 16979
Since 16979 divided by 1 is a whole number, 1 is a factor of 16979
Multiples of 16979 are all integers divisible by 16979 , i.e. the remainder of the full division by 16979 is zero. There are infinite multiples of 16979. The smallest multiples of 16979 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 16979 since 0 × 16979 = 0
16979 : in fact, 16979 is a multiple of itself, since 16979 is divisible by 16979 (it was 16979 / 16979 = 1, so the rest of this division is zero)
33958: in fact, 33958 = 16979 × 2
50937: in fact, 50937 = 16979 × 3
67916: in fact, 67916 = 16979 × 4
84895: in fact, 84895 = 16979 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 16979, the answer is: yes, 16979 is a prime number because it only has two different divisors: 1 and itself (16979).
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 16979). 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 130.303 ). 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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