16829is an odd number,as it is not divisible by 2
The factors for 16829 are all the numbers between -16829 and 16829 , which divide 16829 without leaving any remainder. Since 16829 divided by -16829 is an integer, -16829 is a factor of 16829 .
Since 16829 divided by -16829 is a whole number, -16829 is a factor of 16829
Since 16829 divided by -1 is a whole number, -1 is a factor of 16829
Since 16829 divided by 1 is a whole number, 1 is a factor of 16829
Multiples of 16829 are all integers divisible by 16829 , i.e. the remainder of the full division by 16829 is zero. There are infinite multiples of 16829. The smallest multiples of 16829 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 16829 since 0 × 16829 = 0
16829 : in fact, 16829 is a multiple of itself, since 16829 is divisible by 16829 (it was 16829 / 16829 = 1, so the rest of this division is zero)
33658: in fact, 33658 = 16829 × 2
50487: in fact, 50487 = 16829 × 3
67316: in fact, 67316 = 16829 × 4
84145: in fact, 84145 = 16829 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 16829, the answer is: yes, 16829 is a prime number because it only has two different divisors: 1 and itself (16829).
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 16829). 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 129.727 ). 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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