In addition we can say of the number 17998 that it is even
17998 is an even number, as it is divisible by 2 : 17998/2 = 8999
The factors for 17998 are all the numbers between -17998 and 17998 , which divide 17998 without leaving any remainder. Since 17998 divided by -17998 is an integer, -17998 is a factor of 17998 .
Since 17998 divided by -17998 is a whole number, -17998 is a factor of 17998
Since 17998 divided by -8999 is a whole number, -8999 is a factor of 17998
Since 17998 divided by -2 is a whole number, -2 is a factor of 17998
Since 17998 divided by -1 is a whole number, -1 is a factor of 17998
Since 17998 divided by 1 is a whole number, 1 is a factor of 17998
Since 17998 divided by 2 is a whole number, 2 is a factor of 17998
Since 17998 divided by 8999 is a whole number, 8999 is a factor of 17998
Multiples of 17998 are all integers divisible by 17998 , i.e. the remainder of the full division by 17998 is zero. There are infinite multiples of 17998. The smallest multiples of 17998 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 17998 since 0 × 17998 = 0
17998 : in fact, 17998 is a multiple of itself, since 17998 is divisible by 17998 (it was 17998 / 17998 = 1, so the rest of this division is zero)
35996: in fact, 35996 = 17998 × 2
53994: in fact, 53994 = 17998 × 3
71992: in fact, 71992 = 17998 × 4
89990: in fact, 89990 = 17998 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 17998, the answer is: No, 17998 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 17998). 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 134.157 ). 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.
Previous Numbers: ... 17996, 17997
Next Numbers: 17999, 18000 ...
Previous prime number: 17989
Next prime number: 18013