3359is an odd number,as it is not divisible by 2
The factors for 3359 are all the numbers between -3359 and 3359 , which divide 3359 without leaving any remainder. Since 3359 divided by -3359 is an integer, -3359 is a factor of 3359 .
Since 3359 divided by -3359 is a whole number, -3359 is a factor of 3359
Since 3359 divided by -1 is a whole number, -1 is a factor of 3359
Since 3359 divided by 1 is a whole number, 1 is a factor of 3359
Multiples of 3359 are all integers divisible by 3359 , i.e. the remainder of the full division by 3359 is zero. There are infinite multiples of 3359. The smallest multiples of 3359 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 3359 since 0 × 3359 = 0
3359 : in fact, 3359 is a multiple of itself, since 3359 is divisible by 3359 (it was 3359 / 3359 = 1, so the rest of this division is zero)
6718: in fact, 6718 = 3359 × 2
10077: in fact, 10077 = 3359 × 3
13436: in fact, 13436 = 3359 × 4
16795: in fact, 16795 = 3359 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 3359, the answer is: yes, 3359 is a prime number because it only has two different divisors: 1 and itself (3359).
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 3359). 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 57.957 ). 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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