42131is an odd number,as it is not divisible by 2
The factors for 42131 are all the numbers between -42131 and 42131 , which divide 42131 without leaving any remainder. Since 42131 divided by -42131 is an integer, -42131 is a factor of 42131 .
Since 42131 divided by -42131 is a whole number, -42131 is a factor of 42131
Since 42131 divided by -1 is a whole number, -1 is a factor of 42131
Since 42131 divided by 1 is a whole number, 1 is a factor of 42131
Multiples of 42131 are all integers divisible by 42131 , i.e. the remainder of the full division by 42131 is zero. There are infinite multiples of 42131. The smallest multiples of 42131 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 42131 since 0 × 42131 = 0
42131 : in fact, 42131 is a multiple of itself, since 42131 is divisible by 42131 (it was 42131 / 42131 = 1, so the rest of this division is zero)
84262: in fact, 84262 = 42131 × 2
126393: in fact, 126393 = 42131 × 3
168524: in fact, 168524 = 42131 × 4
210655: in fact, 210655 = 42131 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 42131, the answer is: yes, 42131 is a prime number because it only has two different divisors: 1 and itself (42131).
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 42131). 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 205.258 ). 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.
Previous Numbers: ... 42129, 42130
Next Numbers: 42132, 42133 ...
Previous prime number: 42101
Next prime number: 42139