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3361is an odd number,as it is not divisible by 2
The factors for 3361 are all the numbers between -3361 and 3361 , which divide 3361 without leaving any remainder. Since 3361 divided by -3361 is an integer, -3361 is a factor of 3361 .
Since 3361 divided by -3361 is a whole number, -3361 is a factor of 3361
Since 3361 divided by -1 is a whole number, -1 is a factor of 3361
Since 3361 divided by 1 is a whole number, 1 is a factor of 3361
Multiples of 3361 are all integers divisible by 3361 , i.e. the remainder of the full division by 3361 is zero. There are infinite multiples of 3361. The smallest multiples of 3361 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 3361 since 0 × 3361 = 0
3361 : in fact, 3361 is a multiple of itself, since 3361 is divisible by 3361 (it was 3361 / 3361 = 1, so the rest of this division is zero)
6722: in fact, 6722 = 3361 × 2
10083: in fact, 10083 = 3361 × 3
13444: in fact, 13444 = 3361 × 4
16805: in fact, 16805 = 3361 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 3361, the answer is: yes, 3361 is a prime number because it only has two different divisors: 1 and itself (3361).
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 3361). 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 57.974 ). 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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