42221is an odd number,as it is not divisible by 2
The factors for 42221 are all the numbers between -42221 and 42221 , which divide 42221 without leaving any remainder. Since 42221 divided by -42221 is an integer, -42221 is a factor of 42221 .
Since 42221 divided by -42221 is a whole number, -42221 is a factor of 42221
Since 42221 divided by -1 is a whole number, -1 is a factor of 42221
Since 42221 divided by 1 is a whole number, 1 is a factor of 42221
Multiples of 42221 are all integers divisible by 42221 , i.e. the remainder of the full division by 42221 is zero. There are infinite multiples of 42221. The smallest multiples of 42221 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 42221 since 0 × 42221 = 0
42221 : in fact, 42221 is a multiple of itself, since 42221 is divisible by 42221 (it was 42221 / 42221 = 1, so the rest of this division is zero)
84442: in fact, 84442 = 42221 × 2
126663: in fact, 126663 = 42221 × 3
168884: in fact, 168884 = 42221 × 4
211105: in fact, 211105 = 42221 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 42221, the answer is: yes, 42221 is a prime number because it only has two different divisors: 1 and itself (42221).
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 42221). 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 205.477 ). 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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