42463is an odd number,as it is not divisible by 2
The factors for 42463 are all the numbers between -42463 and 42463 , which divide 42463 without leaving any remainder. Since 42463 divided by -42463 is an integer, -42463 is a factor of 42463 .
Since 42463 divided by -42463 is a whole number, -42463 is a factor of 42463
Since 42463 divided by -1 is a whole number, -1 is a factor of 42463
Since 42463 divided by 1 is a whole number, 1 is a factor of 42463
Multiples of 42463 are all integers divisible by 42463 , i.e. the remainder of the full division by 42463 is zero. There are infinite multiples of 42463. The smallest multiples of 42463 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 42463 since 0 × 42463 = 0
42463 : in fact, 42463 is a multiple of itself, since 42463 is divisible by 42463 (it was 42463 / 42463 = 1, so the rest of this division is zero)
84926: in fact, 84926 = 42463 × 2
127389: in fact, 127389 = 42463 × 3
169852: in fact, 169852 = 42463 × 4
212315: in fact, 212315 = 42463 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 42463, the answer is: yes, 42463 is a prime number because it only has two different divisors: 1 and itself (42463).
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 42463). 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 206.066 ). 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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