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3313is an odd number,as it is not divisible by 2
The factors for 3313 are all the numbers between -3313 and 3313 , which divide 3313 without leaving any remainder. Since 3313 divided by -3313 is an integer, -3313 is a factor of 3313 .
Since 3313 divided by -3313 is a whole number, -3313 is a factor of 3313
Since 3313 divided by -1 is a whole number, -1 is a factor of 3313
Since 3313 divided by 1 is a whole number, 1 is a factor of 3313
Multiples of 3313 are all integers divisible by 3313 , i.e. the remainder of the full division by 3313 is zero. There are infinite multiples of 3313. The smallest multiples of 3313 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 3313 since 0 × 3313 = 0
3313 : in fact, 3313 is a multiple of itself, since 3313 is divisible by 3313 (it was 3313 / 3313 = 1, so the rest of this division is zero)
6626: in fact, 6626 = 3313 × 2
9939: in fact, 9939 = 3313 × 3
13252: in fact, 13252 = 3313 × 4
16565: in fact, 16565 = 3313 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 3313, the answer is: yes, 3313 is a prime number because it only has two different divisors: 1 and itself (3313).
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 3313). 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 57.559 ). 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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