In addition we can say of the number 42002 that it is even
42002 is an even number, as it is divisible by 2 : 42002/2 = 21001
The factors for 42002 are all the numbers between -42002 and 42002 , which divide 42002 without leaving any remainder. Since 42002 divided by -42002 is an integer, -42002 is a factor of 42002 .
Since 42002 divided by -42002 is a whole number, -42002 is a factor of 42002
Since 42002 divided by -21001 is a whole number, -21001 is a factor of 42002
Since 42002 divided by -2 is a whole number, -2 is a factor of 42002
Since 42002 divided by -1 is a whole number, -1 is a factor of 42002
Since 42002 divided by 1 is a whole number, 1 is a factor of 42002
Since 42002 divided by 2 is a whole number, 2 is a factor of 42002
Since 42002 divided by 21001 is a whole number, 21001 is a factor of 42002
Multiples of 42002 are all integers divisible by 42002 , i.e. the remainder of the full division by 42002 is zero. There are infinite multiples of 42002. The smallest multiples of 42002 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 42002 since 0 × 42002 = 0
42002 : in fact, 42002 is a multiple of itself, since 42002 is divisible by 42002 (it was 42002 / 42002 = 1, so the rest of this division is zero)
84004: in fact, 84004 = 42002 × 2
126006: in fact, 126006 = 42002 × 3
168008: in fact, 168008 = 42002 × 4
210010: in fact, 210010 = 42002 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 42002, the answer is: No, 42002 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 42002). 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 204.944 ). 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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