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9929is an odd number,as it is not divisible by 2
The factors for 9929 are all the numbers between -9929 and 9929 , which divide 9929 without leaving any remainder. Since 9929 divided by -9929 is an integer, -9929 is a factor of 9929 .
Since 9929 divided by -9929 is a whole number, -9929 is a factor of 9929
Since 9929 divided by -1 is a whole number, -1 is a factor of 9929
Since 9929 divided by 1 is a whole number, 1 is a factor of 9929
Multiples of 9929 are all integers divisible by 9929 , i.e. the remainder of the full division by 9929 is zero. There are infinite multiples of 9929. The smallest multiples of 9929 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 9929 since 0 × 9929 = 0
9929 : in fact, 9929 is a multiple of itself, since 9929 is divisible by 9929 (it was 9929 / 9929 = 1, so the rest of this division is zero)
19858: in fact, 19858 = 9929 × 2
29787: in fact, 29787 = 9929 × 3
39716: in fact, 39716 = 9929 × 4
49645: in fact, 49645 = 9929 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 9929, the answer is: yes, 9929 is a prime number because it only has two different divisors: 1 and itself (9929).
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 9929). 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 99.644 ). 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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