42359is an odd number,as it is not divisible by 2
The factors for 42359 are all the numbers between -42359 and 42359 , which divide 42359 without leaving any remainder. Since 42359 divided by -42359 is an integer, -42359 is a factor of 42359 .
Since 42359 divided by -42359 is a whole number, -42359 is a factor of 42359
Since 42359 divided by -1 is a whole number, -1 is a factor of 42359
Since 42359 divided by 1 is a whole number, 1 is a factor of 42359
Multiples of 42359 are all integers divisible by 42359 , i.e. the remainder of the full division by 42359 is zero. There are infinite multiples of 42359. The smallest multiples of 42359 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 42359 since 0 × 42359 = 0
42359 : in fact, 42359 is a multiple of itself, since 42359 is divisible by 42359 (it was 42359 / 42359 = 1, so the rest of this division is zero)
84718: in fact, 84718 = 42359 × 2
127077: in fact, 127077 = 42359 × 3
169436: in fact, 169436 = 42359 × 4
211795: in fact, 211795 = 42359 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 42359, the answer is: yes, 42359 is a prime number because it only has two different divisors: 1 and itself (42359).
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 42359). 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 205.813 ). 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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