8423is an odd number,as it is not divisible by 2
The factors for 8423 are all the numbers between -8423 and 8423 , which divide 8423 without leaving any remainder. Since 8423 divided by -8423 is an integer, -8423 is a factor of 8423 .
Since 8423 divided by -8423 is a whole number, -8423 is a factor of 8423
Since 8423 divided by -1 is a whole number, -1 is a factor of 8423
Since 8423 divided by 1 is a whole number, 1 is a factor of 8423
Multiples of 8423 are all integers divisible by 8423 , i.e. the remainder of the full division by 8423 is zero. There are infinite multiples of 8423. The smallest multiples of 8423 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 8423 since 0 × 8423 = 0
8423 : in fact, 8423 is a multiple of itself, since 8423 is divisible by 8423 (it was 8423 / 8423 = 1, so the rest of this division is zero)
16846: in fact, 16846 = 8423 × 2
25269: in fact, 25269 = 8423 × 3
33692: in fact, 33692 = 8423 × 4
42115: in fact, 42115 = 8423 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 8423, the answer is: yes, 8423 is a prime number because it only has two different divisors: 1 and itself (8423).
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 8423). 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 91.777 ). 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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