2377is an odd number,as it is not divisible by 2
The factors for 2377 are all the numbers between -2377 and 2377 , which divide 2377 without leaving any remainder. Since 2377 divided by -2377 is an integer, -2377 is a factor of 2377 .
Since 2377 divided by -2377 is a whole number, -2377 is a factor of 2377
Since 2377 divided by -1 is a whole number, -1 is a factor of 2377
Since 2377 divided by 1 is a whole number, 1 is a factor of 2377
Multiples of 2377 are all integers divisible by 2377 , i.e. the remainder of the full division by 2377 is zero. There are infinite multiples of 2377. The smallest multiples of 2377 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 2377 since 0 × 2377 = 0
2377 : in fact, 2377 is a multiple of itself, since 2377 is divisible by 2377 (it was 2377 / 2377 = 1, so the rest of this division is zero)
4754: in fact, 4754 = 2377 × 2
7131: in fact, 7131 = 2377 × 3
9508: in fact, 9508 = 2377 × 4
11885: in fact, 11885 = 2377 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 2377, the answer is: yes, 2377 is a prime number because it only has two different divisors: 1 and itself (2377).
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 2377). 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 48.754 ). 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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