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In addition we can say of the number **488 that it is even**

488 is an even number, as it is divisible by 2 : 488/2 = 244

The factors for 488 are all the numbers between -488 and 488 , which divide 488 without leaving any remainder. Since 488 divided by -488 is an integer, -488 is a factor of 488 .

Since 488 divided by -488 is a whole number, -488 is a factor of 488

Since 488 divided by -244 is a whole number, -244 is a factor of 488

Since 488 divided by -122 is a whole number, -122 is a factor of 488

Since 488 divided by -61 is a whole number, -61 is a factor of 488

Since 488 divided by -8 is a whole number, -8 is a factor of 488

Since 488 divided by -4 is a whole number, -4 is a factor of 488

Since 488 divided by -2 is a whole number, -2 is a factor of 488

Since 488 divided by -1 is a whole number, -1 is a factor of 488

Since 488 divided by 1 is a whole number, 1 is a factor of 488

Since 488 divided by 2 is a whole number, 2 is a factor of 488

Since 488 divided by 4 is a whole number, 4 is a factor of 488

Since 488 divided by 8 is a whole number, 8 is a factor of 488

Since 488 divided by 61 is a whole number, 61 is a factor of 488

Since 488 divided by 122 is a whole number, 122 is a factor of 488

Since 488 divided by 244 is a whole number, 244 is a factor of 488

Multiples of 488 are all integers divisible by 488 , i.e. the remainder of the full division by 488 is zero. There are infinite multiples of 488. The smallest multiples of 488 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 488 since 0 × 488 = 0

488 : in fact, 488 is a multiple of itself, since 488 is divisible by 488 (it was 488 / 488 = 1, so the rest of this division is zero)

etc.

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

for 488, the answer is:
**No, 488 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 488). 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 22.091 ). 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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