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9969is an odd number,as it is not divisible by 2
The factors for 9969 are all the numbers between -9969 and 9969 , which divide 9969 without leaving any remainder. Since 9969 divided by -9969 is an integer, -9969 is a factor of 9969 .
Since 9969 divided by -9969 is a whole number, -9969 is a factor of 9969
Since 9969 divided by -3323 is a whole number, -3323 is a factor of 9969
Since 9969 divided by -3 is a whole number, -3 is a factor of 9969
Since 9969 divided by -1 is a whole number, -1 is a factor of 9969
Since 9969 divided by 1 is a whole number, 1 is a factor of 9969
Since 9969 divided by 3 is a whole number, 3 is a factor of 9969
Since 9969 divided by 3323 is a whole number, 3323 is a factor of 9969
Multiples of 9969 are all integers divisible by 9969 , i.e. the remainder of the full division by 9969 is zero. There are infinite multiples of 9969. The smallest multiples of 9969 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 9969 since 0 × 9969 = 0
9969 : in fact, 9969 is a multiple of itself, since 9969 is divisible by 9969 (it was 9969 / 9969 = 1, so the rest of this division is zero)
19938: in fact, 19938 = 9969 × 2
29907: in fact, 29907 = 9969 × 3
39876: in fact, 39876 = 9969 × 4
49845: in fact, 49845 = 9969 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 9969, the answer is: No, 9969 is not a prime number.
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 9969). 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 99.845 ). 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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