42491is an odd number,as it is not divisible by 2
The factors for 42491 are all the numbers between -42491 and 42491 , which divide 42491 without leaving any remainder. Since 42491 divided by -42491 is an integer, -42491 is a factor of 42491 .
Since 42491 divided by -42491 is a whole number, -42491 is a factor of 42491
Since 42491 divided by -1 is a whole number, -1 is a factor of 42491
Since 42491 divided by 1 is a whole number, 1 is a factor of 42491
Multiples of 42491 are all integers divisible by 42491 , i.e. the remainder of the full division by 42491 is zero. There are infinite multiples of 42491. The smallest multiples of 42491 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 42491 since 0 × 42491 = 0
42491 : in fact, 42491 is a multiple of itself, since 42491 is divisible by 42491 (it was 42491 / 42491 = 1, so the rest of this division is zero)
84982: in fact, 84982 = 42491 × 2
127473: in fact, 127473 = 42491 × 3
169964: in fact, 169964 = 42491 × 4
212455: in fact, 212455 = 42491 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 42491, the answer is: yes, 42491 is a prime number because it only has two different divisors: 1 and itself (42491).
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 42491). 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 206.133 ). 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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