42187is an odd number,as it is not divisible by 2
The factors for 42187 are all the numbers between -42187 and 42187 , which divide 42187 without leaving any remainder. Since 42187 divided by -42187 is an integer, -42187 is a factor of 42187 .
Since 42187 divided by -42187 is a whole number, -42187 is a factor of 42187
Since 42187 divided by -1 is a whole number, -1 is a factor of 42187
Since 42187 divided by 1 is a whole number, 1 is a factor of 42187
Multiples of 42187 are all integers divisible by 42187 , i.e. the remainder of the full division by 42187 is zero. There are infinite multiples of 42187. The smallest multiples of 42187 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 42187 since 0 × 42187 = 0
42187 : in fact, 42187 is a multiple of itself, since 42187 is divisible by 42187 (it was 42187 / 42187 = 1, so the rest of this division is zero)
84374: in fact, 84374 = 42187 × 2
126561: in fact, 126561 = 42187 × 3
168748: in fact, 168748 = 42187 × 4
210935: in fact, 210935 = 42187 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 42187, the answer is: yes, 42187 is a prime number because it only has two different divisors: 1 and itself (42187).
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 42187). 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 205.395 ). 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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