8521is an odd number,as it is not divisible by 2
The factors for 8521 are all the numbers between -8521 and 8521 , which divide 8521 without leaving any remainder. Since 8521 divided by -8521 is an integer, -8521 is a factor of 8521 .
Since 8521 divided by -8521 is a whole number, -8521 is a factor of 8521
Since 8521 divided by -1 is a whole number, -1 is a factor of 8521
Since 8521 divided by 1 is a whole number, 1 is a factor of 8521
Multiples of 8521 are all integers divisible by 8521 , i.e. the remainder of the full division by 8521 is zero. There are infinite multiples of 8521. The smallest multiples of 8521 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 8521 since 0 × 8521 = 0
8521 : in fact, 8521 is a multiple of itself, since 8521 is divisible by 8521 (it was 8521 / 8521 = 1, so the rest of this division is zero)
17042: in fact, 17042 = 8521 × 2
25563: in fact, 25563 = 8521 × 3
34084: in fact, 34084 = 8521 × 4
42605: in fact, 42605 = 8521 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 8521, the answer is: yes, 8521 is a prime number because it only has two different divisors: 1 and itself (8521).
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 8521). 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 92.309 ). 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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