42671is an odd number,as it is not divisible by 2
The factors for 42671 are all the numbers between -42671 and 42671 , which divide 42671 without leaving any remainder. Since 42671 divided by -42671 is an integer, -42671 is a factor of 42671 .
Since 42671 divided by -42671 is a whole number, -42671 is a factor of 42671
Since 42671 divided by -601 is a whole number, -601 is a factor of 42671
Since 42671 divided by -71 is a whole number, -71 is a factor of 42671
Since 42671 divided by -1 is a whole number, -1 is a factor of 42671
Since 42671 divided by 1 is a whole number, 1 is a factor of 42671
Since 42671 divided by 71 is a whole number, 71 is a factor of 42671
Since 42671 divided by 601 is a whole number, 601 is a factor of 42671
Multiples of 42671 are all integers divisible by 42671 , i.e. the remainder of the full division by 42671 is zero. There are infinite multiples of 42671. The smallest multiples of 42671 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 42671 since 0 × 42671 = 0
42671 : in fact, 42671 is a multiple of itself, since 42671 is divisible by 42671 (it was 42671 / 42671 = 1, so the rest of this division is zero)
85342: in fact, 85342 = 42671 × 2
128013: in fact, 128013 = 42671 × 3
170684: in fact, 170684 = 42671 × 4
213355: in fact, 213355 = 42671 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 42671, the answer is: No, 42671 is not a prime number.
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 42671). 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 206.57 ). 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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