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6967is an odd number,as it is not divisible by 2
The factors for 6967 are all the numbers between -6967 and 6967 , which divide 6967 without leaving any remainder. Since 6967 divided by -6967 is an integer, -6967 is a factor of 6967 .
Since 6967 divided by -6967 is a whole number, -6967 is a factor of 6967
Since 6967 divided by -1 is a whole number, -1 is a factor of 6967
Since 6967 divided by 1 is a whole number, 1 is a factor of 6967
Multiples of 6967 are all integers divisible by 6967 , i.e. the remainder of the full division by 6967 is zero. There are infinite multiples of 6967. The smallest multiples of 6967 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 6967 since 0 × 6967 = 0
6967 : in fact, 6967 is a multiple of itself, since 6967 is divisible by 6967 (it was 6967 / 6967 = 1, so the rest of this division is zero)
13934: in fact, 13934 = 6967 × 2
20901: in fact, 20901 = 6967 × 3
27868: in fact, 27868 = 6967 × 4
34835: in fact, 34835 = 6967 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 6967, the answer is: yes, 6967 is a prime number because it only has two different divisors: 1 and itself (6967).
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 6967). 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 83.469 ). 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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