In addition we can say of the number 9998 that it is even
9998 is an even number, as it is divisible by 2 : 9998/2 = 4999
The factors for 9998 are all the numbers between -9998 and 9998 , which divide 9998 without leaving any remainder. Since 9998 divided by -9998 is an integer, -9998 is a factor of 9998 .
Since 9998 divided by -9998 is a whole number, -9998 is a factor of 9998
Since 9998 divided by -4999 is a whole number, -4999 is a factor of 9998
Since 9998 divided by -2 is a whole number, -2 is a factor of 9998
Since 9998 divided by -1 is a whole number, -1 is a factor of 9998
Since 9998 divided by 1 is a whole number, 1 is a factor of 9998
Since 9998 divided by 2 is a whole number, 2 is a factor of 9998
Since 9998 divided by 4999 is a whole number, 4999 is a factor of 9998
Multiples of 9998 are all integers divisible by 9998 , i.e. the remainder of the full division by 9998 is zero. There are infinite multiples of 9998. The smallest multiples of 9998 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 9998 since 0 × 9998 = 0
9998 : in fact, 9998 is a multiple of itself, since 9998 is divisible by 9998 (it was 9998 / 9998 = 1, so the rest of this division is zero)
19996: in fact, 19996 = 9998 × 2
29994: in fact, 29994 = 9998 × 3
39992: in fact, 39992 = 9998 × 4
49990: in fact, 49990 = 9998 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 9998, the answer is: No, 9998 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 9998). 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 99.99 ). 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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