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6977is an odd number,as it is not divisible by 2
The factors for 6977 are all the numbers between -6977 and 6977 , which divide 6977 without leaving any remainder. Since 6977 divided by -6977 is an integer, -6977 is a factor of 6977 .
Since 6977 divided by -6977 is a whole number, -6977 is a factor of 6977
Since 6977 divided by -1 is a whole number, -1 is a factor of 6977
Since 6977 divided by 1 is a whole number, 1 is a factor of 6977
Multiples of 6977 are all integers divisible by 6977 , i.e. the remainder of the full division by 6977 is zero. There are infinite multiples of 6977. The smallest multiples of 6977 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 6977 since 0 × 6977 = 0
6977 : in fact, 6977 is a multiple of itself, since 6977 is divisible by 6977 (it was 6977 / 6977 = 1, so the rest of this division is zero)
13954: in fact, 13954 = 6977 × 2
20931: in fact, 20931 = 6977 × 3
27908: in fact, 27908 = 6977 × 4
34885: in fact, 34885 = 6977 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 6977, the answer is: yes, 6977 is a prime number because it only has two different divisors: 1 and itself (6977).
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 6977). 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 83.528 ). 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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