9371is an odd number,as it is not divisible by 2
The factors for 9371 are all the numbers between -9371 and 9371 , which divide 9371 without leaving any remainder. Since 9371 divided by -9371 is an integer, -9371 is a factor of 9371 .
Since 9371 divided by -9371 is a whole number, -9371 is a factor of 9371
Since 9371 divided by -1 is a whole number, -1 is a factor of 9371
Since 9371 divided by 1 is a whole number, 1 is a factor of 9371
Multiples of 9371 are all integers divisible by 9371 , i.e. the remainder of the full division by 9371 is zero. There are infinite multiples of 9371. The smallest multiples of 9371 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 9371 since 0 × 9371 = 0
9371 : in fact, 9371 is a multiple of itself, since 9371 is divisible by 9371 (it was 9371 / 9371 = 1, so the rest of this division is zero)
18742: in fact, 18742 = 9371 × 2
28113: in fact, 28113 = 9371 × 3
37484: in fact, 37484 = 9371 × 4
46855: in fact, 46855 = 9371 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 9371, the answer is: yes, 9371 is a prime number because it only has two different divisors: 1 and itself (9371).
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 9371). 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 96.804 ). 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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