9985is an odd number,as it is not divisible by 2
The factors for 9985 are all the numbers between -9985 and 9985 , which divide 9985 without leaving any remainder. Since 9985 divided by -9985 is an integer, -9985 is a factor of 9985 .
Since 9985 divided by -9985 is a whole number, -9985 is a factor of 9985
Since 9985 divided by -1997 is a whole number, -1997 is a factor of 9985
Since 9985 divided by -5 is a whole number, -5 is a factor of 9985
Since 9985 divided by -1 is a whole number, -1 is a factor of 9985
Since 9985 divided by 1 is a whole number, 1 is a factor of 9985
Since 9985 divided by 5 is a whole number, 5 is a factor of 9985
Since 9985 divided by 1997 is a whole number, 1997 is a factor of 9985
Multiples of 9985 are all integers divisible by 9985 , i.e. the remainder of the full division by 9985 is zero. There are infinite multiples of 9985. The smallest multiples of 9985 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 9985 since 0 × 9985 = 0
9985 : in fact, 9985 is a multiple of itself, since 9985 is divisible by 9985 (it was 9985 / 9985 = 1, so the rest of this division is zero)
19970: in fact, 19970 = 9985 × 2
29955: in fact, 29955 = 9985 × 3
39940: in fact, 39940 = 9985 × 4
49925: in fact, 49925 = 9985 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 9985, the answer is: No, 9985 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 9985). 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 99.925 ). 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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