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42841is an odd number,as it is not divisible by 2
The factors for 42841 are all the numbers between -42841 and 42841 , which divide 42841 without leaving any remainder. Since 42841 divided by -42841 is an integer, -42841 is a factor of 42841 .
Since 42841 divided by -42841 is a whole number, -42841 is a factor of 42841
Since 42841 divided by -1 is a whole number, -1 is a factor of 42841
Since 42841 divided by 1 is a whole number, 1 is a factor of 42841
Multiples of 42841 are all integers divisible by 42841 , i.e. the remainder of the full division by 42841 is zero. There are infinite multiples of 42841. The smallest multiples of 42841 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 42841 since 0 × 42841 = 0
42841 : in fact, 42841 is a multiple of itself, since 42841 is divisible by 42841 (it was 42841 / 42841 = 1, so the rest of this division is zero)
85682: in fact, 85682 = 42841 × 2
128523: in fact, 128523 = 42841 × 3
171364: in fact, 171364 = 42841 × 4
214205: in fact, 214205 = 42841 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 42841, the answer is: yes, 42841 is a prime number because it only has two different divisors: 1 and itself (42841).
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 42841). 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 206.981 ). 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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