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In addition we can say of the number **4492 that it is even**

4492 is an even number, as it is divisible by 2 : 4492/2 = 2246

The factors for 4492 are all the numbers between -4492 and 4492 , which divide 4492 without leaving any remainder. Since 4492 divided by -4492 is an integer, -4492 is a factor of 4492 .

Since 4492 divided by -4492 is a whole number, -4492 is a factor of 4492

Since 4492 divided by -2246 is a whole number, -2246 is a factor of 4492

Since 4492 divided by -1123 is a whole number, -1123 is a factor of 4492

Since 4492 divided by -4 is a whole number, -4 is a factor of 4492

Since 4492 divided by -2 is a whole number, -2 is a factor of 4492

Since 4492 divided by -1 is a whole number, -1 is a factor of 4492

Since 4492 divided by 1 is a whole number, 1 is a factor of 4492

Since 4492 divided by 2 is a whole number, 2 is a factor of 4492

Since 4492 divided by 4 is a whole number, 4 is a factor of 4492

Since 4492 divided by 1123 is a whole number, 1123 is a factor of 4492

Since 4492 divided by 2246 is a whole number, 2246 is a factor of 4492

Multiples of 4492 are all integers divisible by 4492 , i.e. the remainder of the full division by 4492 is zero. There are infinite multiples of 4492. The smallest multiples of 4492 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 4492 since 0 × 4492 = 0

4492 : in fact, 4492 is a multiple of itself, since 4492 is divisible by 4492 (it was 4492 / 4492 = 1, so the rest of this division is zero)

8984: in fact, 8984 = 4492 × 2

13476: in fact, 13476 = 4492 × 3

17968: in fact, 17968 = 4492 × 4

22460: in fact, 22460 = 4492 × 5

etc.

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

for 4492, the answer is:
**No, 4492 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 4492). 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 67.022 ). 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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