8377is an odd number,as it is not divisible by 2
The factors for 8377 are all the numbers between -8377 and 8377 , which divide 8377 without leaving any remainder. Since 8377 divided by -8377 is an integer, -8377 is a factor of 8377 .
Since 8377 divided by -8377 is a whole number, -8377 is a factor of 8377
Since 8377 divided by -1 is a whole number, -1 is a factor of 8377
Since 8377 divided by 1 is a whole number, 1 is a factor of 8377
Multiples of 8377 are all integers divisible by 8377 , i.e. the remainder of the full division by 8377 is zero. There are infinite multiples of 8377. The smallest multiples of 8377 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 8377 since 0 × 8377 = 0
8377 : in fact, 8377 is a multiple of itself, since 8377 is divisible by 8377 (it was 8377 / 8377 = 1, so the rest of this division is zero)
16754: in fact, 16754 = 8377 × 2
25131: in fact, 25131 = 8377 × 3
33508: in fact, 33508 = 8377 × 4
41885: in fact, 41885 = 8377 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 8377, the answer is: yes, 8377 is a prime number because it only has two different divisors: 1 and itself (8377).
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 8377). 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 91.526 ). 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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