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**3345is an odd number**,as it is not divisible by 2

The factors for 3345 are all the numbers between -3345 and 3345 , which divide 3345 without leaving any remainder. Since 3345 divided by -3345 is an integer, -3345 is a factor of 3345 .

Since 3345 divided by -3345 is a whole number, -3345 is a factor of 3345

Since 3345 divided by -1115 is a whole number, -1115 is a factor of 3345

Since 3345 divided by -669 is a whole number, -669 is a factor of 3345

Since 3345 divided by -223 is a whole number, -223 is a factor of 3345

Since 3345 divided by -15 is a whole number, -15 is a factor of 3345

Since 3345 divided by -5 is a whole number, -5 is a factor of 3345

Since 3345 divided by -3 is a whole number, -3 is a factor of 3345

Since 3345 divided by -1 is a whole number, -1 is a factor of 3345

Since 3345 divided by 1 is a whole number, 1 is a factor of 3345

Since 3345 divided by 3 is a whole number, 3 is a factor of 3345

Since 3345 divided by 5 is a whole number, 5 is a factor of 3345

Since 3345 divided by 15 is a whole number, 15 is a factor of 3345

Since 3345 divided by 223 is a whole number, 223 is a factor of 3345

Since 3345 divided by 669 is a whole number, 669 is a factor of 3345

Since 3345 divided by 1115 is a whole number, 1115 is a factor of 3345

Multiples of 3345 are all integers divisible by 3345 , i.e. the remainder of the full division by 3345 is zero. There are infinite multiples of 3345. The smallest multiples of 3345 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 3345 since 0 × 3345 = 0

3345 : in fact, 3345 is a multiple of itself, since 3345 is divisible by 3345 (it was 3345 / 3345 = 1, so the rest of this division is zero)

6690: in fact, 6690 = 3345 × 2

10035: in fact, 10035 = 3345 × 3

13380: in fact, 13380 = 3345 × 4

16725: in fact, 16725 = 3345 × 5

etc.

It is possible to determine using mathematical techniques whether an integer is prime or not.

for 3345, the answer is:
**No, 3345 is not a prime number**.

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 3345). 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 57.836 ). 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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