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In addition we can say of the number **4042 that it is even**

4042 is an even number, as it is divisible by 2 : 4042/2 = 2021

The factors for 4042 are all the numbers between -4042 and 4042 , which divide 4042 without leaving any remainder. Since 4042 divided by -4042 is an integer, -4042 is a factor of 4042 .

Since 4042 divided by -4042 is a whole number, -4042 is a factor of 4042

Since 4042 divided by -2021 is a whole number, -2021 is a factor of 4042

Since 4042 divided by -94 is a whole number, -94 is a factor of 4042

Since 4042 divided by -86 is a whole number, -86 is a factor of 4042

Since 4042 divided by -47 is a whole number, -47 is a factor of 4042

Since 4042 divided by -43 is a whole number, -43 is a factor of 4042

Since 4042 divided by -2 is a whole number, -2 is a factor of 4042

Since 4042 divided by -1 is a whole number, -1 is a factor of 4042

Since 4042 divided by 1 is a whole number, 1 is a factor of 4042

Since 4042 divided by 2 is a whole number, 2 is a factor of 4042

Since 4042 divided by 43 is a whole number, 43 is a factor of 4042

Since 4042 divided by 47 is a whole number, 47 is a factor of 4042

Since 4042 divided by 86 is a whole number, 86 is a factor of 4042

Since 4042 divided by 94 is a whole number, 94 is a factor of 4042

Since 4042 divided by 2021 is a whole number, 2021 is a factor of 4042

Multiples of 4042 are all integers divisible by 4042 , i.e. the remainder of the full division by 4042 is zero. There are infinite multiples of 4042. The smallest multiples of 4042 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 4042 since 0 × 4042 = 0

4042 : in fact, 4042 is a multiple of itself, since 4042 is divisible by 4042 (it was 4042 / 4042 = 1, so the rest of this division is zero)

8084: in fact, 8084 = 4042 × 2

12126: in fact, 12126 = 4042 × 3

16168: in fact, 16168 = 4042 × 4

20210: in fact, 20210 = 4042 × 5

etc.

It is possible to determine using mathematical techniques whether an integer is prime or not.

for 4042, the answer is:
**No, 4042 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 4042). 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 63.577 ). 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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