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55997is an odd number,as it is not divisible by 2
The factors for 55997 are all the numbers between -55997 and 55997 , which divide 55997 without leaving any remainder. Since 55997 divided by -55997 is an integer, -55997 is a factor of 55997 .
Since 55997 divided by -55997 is a whole number, -55997 is a factor of 55997
Since 55997 divided by -1 is a whole number, -1 is a factor of 55997
Since 55997 divided by 1 is a whole number, 1 is a factor of 55997
Multiples of 55997 are all integers divisible by 55997 , i.e. the remainder of the full division by 55997 is zero. There are infinite multiples of 55997. The smallest multiples of 55997 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 55997 since 0 × 55997 = 0
55997 : in fact, 55997 is a multiple of itself, since 55997 is divisible by 55997 (it was 55997 / 55997 = 1, so the rest of this division is zero)
111994: in fact, 111994 = 55997 × 2
167991: in fact, 167991 = 55997 × 3
223988: in fact, 223988 = 55997 × 4
279985: in fact, 279985 = 55997 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 55997, the answer is: yes, 55997 is a prime number because it only has two different divisors: 1 and itself (55997).
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 55997). 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 236.637 ). 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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