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42239is an odd number,as it is not divisible by 2
The factors for 42239 are all the numbers between -42239 and 42239 , which divide 42239 without leaving any remainder. Since 42239 divided by -42239 is an integer, -42239 is a factor of 42239 .
Since 42239 divided by -42239 is a whole number, -42239 is a factor of 42239
Since 42239 divided by -1 is a whole number, -1 is a factor of 42239
Since 42239 divided by 1 is a whole number, 1 is a factor of 42239
Multiples of 42239 are all integers divisible by 42239 , i.e. the remainder of the full division by 42239 is zero. There are infinite multiples of 42239. The smallest multiples of 42239 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 42239 since 0 × 42239 = 0
42239 : in fact, 42239 is a multiple of itself, since 42239 is divisible by 42239 (it was 42239 / 42239 = 1, so the rest of this division is zero)
84478: in fact, 84478 = 42239 × 2
126717: in fact, 126717 = 42239 × 3
168956: in fact, 168956 = 42239 × 4
211195: in fact, 211195 = 42239 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 42239, the answer is: yes, 42239 is a prime number because it only has two different divisors: 1 and itself (42239).
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 42239). 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 205.521 ). 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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