42019is an odd number,as it is not divisible by 2
The factors for 42019 are all the numbers between -42019 and 42019 , which divide 42019 without leaving any remainder. Since 42019 divided by -42019 is an integer, -42019 is a factor of 42019 .
Since 42019 divided by -42019 is a whole number, -42019 is a factor of 42019
Since 42019 divided by -1 is a whole number, -1 is a factor of 42019
Since 42019 divided by 1 is a whole number, 1 is a factor of 42019
Multiples of 42019 are all integers divisible by 42019 , i.e. the remainder of the full division by 42019 is zero. There are infinite multiples of 42019. The smallest multiples of 42019 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 42019 since 0 × 42019 = 0
42019 : in fact, 42019 is a multiple of itself, since 42019 is divisible by 42019 (it was 42019 / 42019 = 1, so the rest of this division is zero)
84038: in fact, 84038 = 42019 × 2
126057: in fact, 126057 = 42019 × 3
168076: in fact, 168076 = 42019 × 4
210095: in fact, 210095 = 42019 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 42019, the answer is: yes, 42019 is a prime number because it only has two different divisors: 1 and itself (42019).
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 42019). 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 204.985 ). 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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