3323is an odd number,as it is not divisible by 2
The factors for 3323 are all the numbers between -3323 and 3323 , which divide 3323 without leaving any remainder. Since 3323 divided by -3323 is an integer, -3323 is a factor of 3323 .
Since 3323 divided by -3323 is a whole number, -3323 is a factor of 3323
Since 3323 divided by -1 is a whole number, -1 is a factor of 3323
Since 3323 divided by 1 is a whole number, 1 is a factor of 3323
Multiples of 3323 are all integers divisible by 3323 , i.e. the remainder of the full division by 3323 is zero. There are infinite multiples of 3323. The smallest multiples of 3323 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 3323 since 0 × 3323 = 0
3323 : in fact, 3323 is a multiple of itself, since 3323 is divisible by 3323 (it was 3323 / 3323 = 1, so the rest of this division is zero)
6646: in fact, 6646 = 3323 × 2
9969: in fact, 9969 = 3323 × 3
13292: in fact, 13292 = 3323 × 4
16615: in fact, 16615 = 3323 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 3323, the answer is: yes, 3323 is a prime number because it only has two different divisors: 1 and itself (3323).
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 3323). 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 57.645 ). 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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