In addition we can say of the number 998 that it is even
998 is an even number, as it is divisible by 2 : 998/2 = 499
The factors for 998 are all the numbers between -998 and 998 , which divide 998 without leaving any remainder. Since 998 divided by -998 is an integer, -998 is a factor of 998 .
Since 998 divided by -998 is a whole number, -998 is a factor of 998
Since 998 divided by -499 is a whole number, -499 is a factor of 998
Since 998 divided by -2 is a whole number, -2 is a factor of 998
Since 998 divided by -1 is a whole number, -1 is a factor of 998
Since 998 divided by 1 is a whole number, 1 is a factor of 998
Since 998 divided by 2 is a whole number, 2 is a factor of 998
Since 998 divided by 499 is a whole number, 499 is a factor of 998
Multiples of 998 are all integers divisible by 998 , i.e. the remainder of the full division by 998 is zero. There are infinite multiples of 998. The smallest multiples of 998 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 998 since 0 × 998 = 0
998 : in fact, 998 is a multiple of itself, since 998 is divisible by 998 (it was 998 / 998 = 1, so the rest of this division is zero)
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 998, the answer is: No, 998 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 998). 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 31.591 ). 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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