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8443is an odd number,as it is not divisible by 2
The factors for 8443 are all the numbers between -8443 and 8443 , which divide 8443 without leaving any remainder. Since 8443 divided by -8443 is an integer, -8443 is a factor of 8443 .
Since 8443 divided by -8443 is a whole number, -8443 is a factor of 8443
Since 8443 divided by -1 is a whole number, -1 is a factor of 8443
Since 8443 divided by 1 is a whole number, 1 is a factor of 8443
Multiples of 8443 are all integers divisible by 8443 , i.e. the remainder of the full division by 8443 is zero. There are infinite multiples of 8443. The smallest multiples of 8443 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 8443 since 0 × 8443 = 0
8443 : in fact, 8443 is a multiple of itself, since 8443 is divisible by 8443 (it was 8443 / 8443 = 1, so the rest of this division is zero)
16886: in fact, 16886 = 8443 × 2
25329: in fact, 25329 = 8443 × 3
33772: in fact, 33772 = 8443 × 4
42215: in fact, 42215 = 8443 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 8443, the answer is: yes, 8443 is a prime number because it only has two different divisors: 1 and itself (8443).
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 8443). 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 91.886 ). 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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