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**2397is an odd number**,as it is not divisible by 2

The factors for 2397 are all the numbers between -2397 and 2397 , which divide 2397 without leaving any remainder. Since 2397 divided by -2397 is an integer, -2397 is a factor of 2397 .

Since 2397 divided by -2397 is a whole number, -2397 is a factor of 2397

Since 2397 divided by -799 is a whole number, -799 is a factor of 2397

Since 2397 divided by -141 is a whole number, -141 is a factor of 2397

Since 2397 divided by -51 is a whole number, -51 is a factor of 2397

Since 2397 divided by -47 is a whole number, -47 is a factor of 2397

Since 2397 divided by -17 is a whole number, -17 is a factor of 2397

Since 2397 divided by -3 is a whole number, -3 is a factor of 2397

Since 2397 divided by -1 is a whole number, -1 is a factor of 2397

Since 2397 divided by 1 is a whole number, 1 is a factor of 2397

Since 2397 divided by 3 is a whole number, 3 is a factor of 2397

Since 2397 divided by 17 is a whole number, 17 is a factor of 2397

Since 2397 divided by 47 is a whole number, 47 is a factor of 2397

Since 2397 divided by 51 is a whole number, 51 is a factor of 2397

Since 2397 divided by 141 is a whole number, 141 is a factor of 2397

Since 2397 divided by 799 is a whole number, 799 is a factor of 2397

Multiples of 2397 are all integers divisible by 2397 , i.e. the remainder of the full division by 2397 is zero. There are infinite multiples of 2397. The smallest multiples of 2397 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 2397 since 0 × 2397 = 0

2397 : in fact, 2397 is a multiple of itself, since 2397 is divisible by 2397 (it was 2397 / 2397 = 1, so the rest of this division is zero)

4794: in fact, 4794 = 2397 × 2

7191: in fact, 7191 = 2397 × 3

9588: in fact, 9588 = 2397 × 4

11985: in fact, 11985 = 2397 × 5

etc.

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

for 2397, the answer is:
**No, 2397 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 2397). 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 48.959 ). 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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