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9377is an odd number,as it is not divisible by 2
The factors for 9377 are all the numbers between -9377 and 9377 , which divide 9377 without leaving any remainder. Since 9377 divided by -9377 is an integer, -9377 is a factor of 9377 .
Since 9377 divided by -9377 is a whole number, -9377 is a factor of 9377
Since 9377 divided by -1 is a whole number, -1 is a factor of 9377
Since 9377 divided by 1 is a whole number, 1 is a factor of 9377
Multiples of 9377 are all integers divisible by 9377 , i.e. the remainder of the full division by 9377 is zero. There are infinite multiples of 9377. The smallest multiples of 9377 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 9377 since 0 × 9377 = 0
9377 : in fact, 9377 is a multiple of itself, since 9377 is divisible by 9377 (it was 9377 / 9377 = 1, so the rest of this division is zero)
18754: in fact, 18754 = 9377 × 2
28131: in fact, 28131 = 9377 × 3
37508: in fact, 37508 = 9377 × 4
46885: in fact, 46885 = 9377 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 9377, the answer is: yes, 9377 is a prime number because it only has two different divisors: 1 and itself (9377).
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 9377). 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 96.835 ). 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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