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In addition we can say of the number **4142 that it is even**

4142 is an even number, as it is divisible by 2 : 4142/2 = 2071

The factors for 4142 are all the numbers between -4142 and 4142 , which divide 4142 without leaving any remainder. Since 4142 divided by -4142 is an integer, -4142 is a factor of 4142 .

Since 4142 divided by -4142 is a whole number, -4142 is a factor of 4142

Since 4142 divided by -2071 is a whole number, -2071 is a factor of 4142

Since 4142 divided by -218 is a whole number, -218 is a factor of 4142

Since 4142 divided by -109 is a whole number, -109 is a factor of 4142

Since 4142 divided by -38 is a whole number, -38 is a factor of 4142

Since 4142 divided by -19 is a whole number, -19 is a factor of 4142

Since 4142 divided by -2 is a whole number, -2 is a factor of 4142

Since 4142 divided by -1 is a whole number, -1 is a factor of 4142

Since 4142 divided by 1 is a whole number, 1 is a factor of 4142

Since 4142 divided by 2 is a whole number, 2 is a factor of 4142

Since 4142 divided by 19 is a whole number, 19 is a factor of 4142

Since 4142 divided by 38 is a whole number, 38 is a factor of 4142

Since 4142 divided by 109 is a whole number, 109 is a factor of 4142

Since 4142 divided by 218 is a whole number, 218 is a factor of 4142

Since 4142 divided by 2071 is a whole number, 2071 is a factor of 4142

Multiples of 4142 are all integers divisible by 4142 , i.e. the remainder of the full division by 4142 is zero. There are infinite multiples of 4142. The smallest multiples of 4142 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 4142 since 0 × 4142 = 0

4142 : in fact, 4142 is a multiple of itself, since 4142 is divisible by 4142 (it was 4142 / 4142 = 1, so the rest of this division is zero)

8284: in fact, 8284 = 4142 × 2

12426: in fact, 12426 = 4142 × 3

16568: in fact, 16568 = 4142 × 4

20710: in fact, 20710 = 4142 × 5

etc.

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

for 4142, the answer is:
**No, 4142 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 4142). 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 64.358 ). 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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