42023is an odd number,as it is not divisible by 2
The factors for 42023 are all the numbers between -42023 and 42023 , which divide 42023 without leaving any remainder. Since 42023 divided by -42023 is an integer, -42023 is a factor of 42023 .
Since 42023 divided by -42023 is a whole number, -42023 is a factor of 42023
Since 42023 divided by -1 is a whole number, -1 is a factor of 42023
Since 42023 divided by 1 is a whole number, 1 is a factor of 42023
Multiples of 42023 are all integers divisible by 42023 , i.e. the remainder of the full division by 42023 is zero. There are infinite multiples of 42023. The smallest multiples of 42023 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 42023 since 0 × 42023 = 0
42023 : in fact, 42023 is a multiple of itself, since 42023 is divisible by 42023 (it was 42023 / 42023 = 1, so the rest of this division is zero)
84046: in fact, 84046 = 42023 × 2
126069: in fact, 126069 = 42023 × 3
168092: in fact, 168092 = 42023 × 4
210115: in fact, 210115 = 42023 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 42023, the answer is: yes, 42023 is a prime number because it only has two different divisors: 1 and itself (42023).
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 42023). 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 204.995 ). 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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