8741is an odd number,as it is not divisible by 2
The factors for 8741 are all the numbers between -8741 and 8741 , which divide 8741 without leaving any remainder. Since 8741 divided by -8741 is an integer, -8741 is a factor of 8741 .
Since 8741 divided by -8741 is a whole number, -8741 is a factor of 8741
Since 8741 divided by -1 is a whole number, -1 is a factor of 8741
Since 8741 divided by 1 is a whole number, 1 is a factor of 8741
Multiples of 8741 are all integers divisible by 8741 , i.e. the remainder of the full division by 8741 is zero. There are infinite multiples of 8741. The smallest multiples of 8741 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 8741 since 0 × 8741 = 0
8741 : in fact, 8741 is a multiple of itself, since 8741 is divisible by 8741 (it was 8741 / 8741 = 1, so the rest of this division is zero)
17482: in fact, 17482 = 8741 × 2
26223: in fact, 26223 = 8741 × 3
34964: in fact, 34964 = 8741 × 4
43705: in fact, 43705 = 8741 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 8741, the answer is: yes, 8741 is a prime number because it only has two different divisors: 1 and itself (8741).
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 8741). 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 93.493 ). 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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