8837is an odd number,as it is not divisible by 2
The factors for 8837 are all the numbers between -8837 and 8837 , which divide 8837 without leaving any remainder. Since 8837 divided by -8837 is an integer, -8837 is a factor of 8837 .
Since 8837 divided by -8837 is a whole number, -8837 is a factor of 8837
Since 8837 divided by -1 is a whole number, -1 is a factor of 8837
Since 8837 divided by 1 is a whole number, 1 is a factor of 8837
Multiples of 8837 are all integers divisible by 8837 , i.e. the remainder of the full division by 8837 is zero. There are infinite multiples of 8837. The smallest multiples of 8837 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 8837 since 0 × 8837 = 0
8837 : in fact, 8837 is a multiple of itself, since 8837 is divisible by 8837 (it was 8837 / 8837 = 1, so the rest of this division is zero)
17674: in fact, 17674 = 8837 × 2
26511: in fact, 26511 = 8837 × 3
35348: in fact, 35348 = 8837 × 4
44185: in fact, 44185 = 8837 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 8837, the answer is: yes, 8837 is a prime number because it only has two different divisors: 1 and itself (8837).
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 8837). 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 94.005 ). 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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