8737is an odd number,as it is not divisible by 2
The factors for 8737 are all the numbers between -8737 and 8737 , which divide 8737 without leaving any remainder. Since 8737 divided by -8737 is an integer, -8737 is a factor of 8737 .
Since 8737 divided by -8737 is a whole number, -8737 is a factor of 8737
Since 8737 divided by -1 is a whole number, -1 is a factor of 8737
Since 8737 divided by 1 is a whole number, 1 is a factor of 8737
Multiples of 8737 are all integers divisible by 8737 , i.e. the remainder of the full division by 8737 is zero. There are infinite multiples of 8737. The smallest multiples of 8737 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 8737 since 0 × 8737 = 0
8737 : in fact, 8737 is a multiple of itself, since 8737 is divisible by 8737 (it was 8737 / 8737 = 1, so the rest of this division is zero)
17474: in fact, 17474 = 8737 × 2
26211: in fact, 26211 = 8737 × 3
34948: in fact, 34948 = 8737 × 4
43685: in fact, 43685 = 8737 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 8737, the answer is: yes, 8737 is a prime number because it only has two different divisors: 1 and itself (8737).
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 8737). 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 93.472 ). 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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