8831is an odd number,as it is not divisible by 2
The factors for 8831 are all the numbers between -8831 and 8831 , which divide 8831 without leaving any remainder. Since 8831 divided by -8831 is an integer, -8831 is a factor of 8831 .
Since 8831 divided by -8831 is a whole number, -8831 is a factor of 8831
Since 8831 divided by -1 is a whole number, -1 is a factor of 8831
Since 8831 divided by 1 is a whole number, 1 is a factor of 8831
Multiples of 8831 are all integers divisible by 8831 , i.e. the remainder of the full division by 8831 is zero. There are infinite multiples of 8831. The smallest multiples of 8831 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 8831 since 0 × 8831 = 0
8831 : in fact, 8831 is a multiple of itself, since 8831 is divisible by 8831 (it was 8831 / 8831 = 1, so the rest of this division is zero)
17662: in fact, 17662 = 8831 × 2
26493: in fact, 26493 = 8831 × 3
35324: in fact, 35324 = 8831 × 4
44155: in fact, 44155 = 8831 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 8831, the answer is: yes, 8831 is a prime number because it only has two different divisors: 1 and itself (8831).
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 8831). 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 93.973 ). 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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