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9923is an odd number,as it is not divisible by 2
The factors for 9923 are all the numbers between -9923 and 9923 , which divide 9923 without leaving any remainder. Since 9923 divided by -9923 is an integer, -9923 is a factor of 9923 .
Since 9923 divided by -9923 is a whole number, -9923 is a factor of 9923
Since 9923 divided by -1 is a whole number, -1 is a factor of 9923
Since 9923 divided by 1 is a whole number, 1 is a factor of 9923
Multiples of 9923 are all integers divisible by 9923 , i.e. the remainder of the full division by 9923 is zero. There are infinite multiples of 9923. The smallest multiples of 9923 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 9923 since 0 × 9923 = 0
9923 : in fact, 9923 is a multiple of itself, since 9923 is divisible by 9923 (it was 9923 / 9923 = 1, so the rest of this division is zero)
19846: in fact, 19846 = 9923 × 2
29769: in fact, 29769 = 9923 × 3
39692: in fact, 39692 = 9923 × 4
49615: in fact, 49615 = 9923 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 9923, the answer is: yes, 9923 is a prime number because it only has two different divisors: 1 and itself (9923).
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 9923). 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 99.614 ). 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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