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8969is an odd number,as it is not divisible by 2
The factors for 8969 are all the numbers between -8969 and 8969 , which divide 8969 without leaving any remainder. Since 8969 divided by -8969 is an integer, -8969 is a factor of 8969 .
Since 8969 divided by -8969 is a whole number, -8969 is a factor of 8969
Since 8969 divided by -1 is a whole number, -1 is a factor of 8969
Since 8969 divided by 1 is a whole number, 1 is a factor of 8969
Multiples of 8969 are all integers divisible by 8969 , i.e. the remainder of the full division by 8969 is zero. There are infinite multiples of 8969. The smallest multiples of 8969 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 8969 since 0 × 8969 = 0
8969 : in fact, 8969 is a multiple of itself, since 8969 is divisible by 8969 (it was 8969 / 8969 = 1, so the rest of this division is zero)
17938: in fact, 17938 = 8969 × 2
26907: in fact, 26907 = 8969 × 3
35876: in fact, 35876 = 8969 × 4
44845: in fact, 44845 = 8969 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 8969, the answer is: yes, 8969 is a prime number because it only has two different divisors: 1 and itself (8969).
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 8969). 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 94.705 ). 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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