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In addition we can say of the number 6988 that it is even
6988 is an even number, as it is divisible by 2 : 6988/2 = 3494
The factors for 6988 are all the numbers between -6988 and 6988 , which divide 6988 without leaving any remainder. Since 6988 divided by -6988 is an integer, -6988 is a factor of 6988 .
Since 6988 divided by -6988 is a whole number, -6988 is a factor of 6988
Since 6988 divided by -3494 is a whole number, -3494 is a factor of 6988
Since 6988 divided by -1747 is a whole number, -1747 is a factor of 6988
Since 6988 divided by -4 is a whole number, -4 is a factor of 6988
Since 6988 divided by -2 is a whole number, -2 is a factor of 6988
Since 6988 divided by -1 is a whole number, -1 is a factor of 6988
Since 6988 divided by 1 is a whole number, 1 is a factor of 6988
Since 6988 divided by 2 is a whole number, 2 is a factor of 6988
Since 6988 divided by 4 is a whole number, 4 is a factor of 6988
Since 6988 divided by 1747 is a whole number, 1747 is a factor of 6988
Since 6988 divided by 3494 is a whole number, 3494 is a factor of 6988
Multiples of 6988 are all integers divisible by 6988 , i.e. the remainder of the full division by 6988 is zero. There are infinite multiples of 6988. The smallest multiples of 6988 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 6988 since 0 × 6988 = 0
6988 : in fact, 6988 is a multiple of itself, since 6988 is divisible by 6988 (it was 6988 / 6988 = 1, so the rest of this division is zero)
13976: in fact, 13976 = 6988 × 2
20964: in fact, 20964 = 6988 × 3
27952: in fact, 27952 = 6988 × 4
34940: in fact, 34940 = 6988 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 6988, the answer is: No, 6988 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 6988). 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 83.594 ). 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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