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42223is an odd number,as it is not divisible by 2
The factors for 42223 are all the numbers between -42223 and 42223 , which divide 42223 without leaving any remainder. Since 42223 divided by -42223 is an integer, -42223 is a factor of 42223 .
Since 42223 divided by -42223 is a whole number, -42223 is a factor of 42223
Since 42223 divided by -1 is a whole number, -1 is a factor of 42223
Since 42223 divided by 1 is a whole number, 1 is a factor of 42223
Multiples of 42223 are all integers divisible by 42223 , i.e. the remainder of the full division by 42223 is zero. There are infinite multiples of 42223. The smallest multiples of 42223 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 42223 since 0 × 42223 = 0
42223 : in fact, 42223 is a multiple of itself, since 42223 is divisible by 42223 (it was 42223 / 42223 = 1, so the rest of this division is zero)
84446: in fact, 84446 = 42223 × 2
126669: in fact, 126669 = 42223 × 3
168892: in fact, 168892 = 42223 × 4
211115: in fact, 211115 = 42223 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 42223, the answer is: yes, 42223 is a prime number because it only has two different divisors: 1 and itself (42223).
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 42223). 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 205.482 ). 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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