42643is an odd number,as it is not divisible by 2
The factors for 42643 are all the numbers between -42643 and 42643 , which divide 42643 without leaving any remainder. Since 42643 divided by -42643 is an integer, -42643 is a factor of 42643 .
Since 42643 divided by -42643 is a whole number, -42643 is a factor of 42643
Since 42643 divided by -1 is a whole number, -1 is a factor of 42643
Since 42643 divided by 1 is a whole number, 1 is a factor of 42643
Multiples of 42643 are all integers divisible by 42643 , i.e. the remainder of the full division by 42643 is zero. There are infinite multiples of 42643. The smallest multiples of 42643 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 42643 since 0 × 42643 = 0
42643 : in fact, 42643 is a multiple of itself, since 42643 is divisible by 42643 (it was 42643 / 42643 = 1, so the rest of this division is zero)
85286: in fact, 85286 = 42643 × 2
127929: in fact, 127929 = 42643 × 3
170572: in fact, 170572 = 42643 × 4
213215: in fact, 213215 = 42643 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 42643, the answer is: yes, 42643 is a prime number because it only has two different divisors: 1 and itself (42643).
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 42643). 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 206.502 ). 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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