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In addition we can say of the number 6998 that it is even
6998 is an even number, as it is divisible by 2 : 6998/2 = 3499
The factors for 6998 are all the numbers between -6998 and 6998 , which divide 6998 without leaving any remainder. Since 6998 divided by -6998 is an integer, -6998 is a factor of 6998 .
Since 6998 divided by -6998 is a whole number, -6998 is a factor of 6998
Since 6998 divided by -3499 is a whole number, -3499 is a factor of 6998
Since 6998 divided by -2 is a whole number, -2 is a factor of 6998
Since 6998 divided by -1 is a whole number, -1 is a factor of 6998
Since 6998 divided by 1 is a whole number, 1 is a factor of 6998
Since 6998 divided by 2 is a whole number, 2 is a factor of 6998
Since 6998 divided by 3499 is a whole number, 3499 is a factor of 6998
Multiples of 6998 are all integers divisible by 6998 , i.e. the remainder of the full division by 6998 is zero. There are infinite multiples of 6998. The smallest multiples of 6998 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 6998 since 0 × 6998 = 0
6998 : in fact, 6998 is a multiple of itself, since 6998 is divisible by 6998 (it was 6998 / 6998 = 1, so the rest of this division is zero)
13996: in fact, 13996 = 6998 × 2
20994: in fact, 20994 = 6998 × 3
27992: in fact, 27992 = 6998 × 4
34990: in fact, 34990 = 6998 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 6998, the answer is: No, 6998 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 6998). 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 83.654 ). 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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