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In addition we can say of the number 498 that it is even
498 is an even number, as it is divisible by 2 : 498/2 = 249
The factors for 498 are all the numbers between -498 and 498 , which divide 498 without leaving any remainder. Since 498 divided by -498 is an integer, -498 is a factor of 498 .
Since 498 divided by -498 is a whole number, -498 is a factor of 498
Since 498 divided by -249 is a whole number, -249 is a factor of 498
Since 498 divided by -166 is a whole number, -166 is a factor of 498
Since 498 divided by -83 is a whole number, -83 is a factor of 498
Since 498 divided by -6 is a whole number, -6 is a factor of 498
Since 498 divided by -3 is a whole number, -3 is a factor of 498
Since 498 divided by -2 is a whole number, -2 is a factor of 498
Since 498 divided by -1 is a whole number, -1 is a factor of 498
Since 498 divided by 1 is a whole number, 1 is a factor of 498
Since 498 divided by 2 is a whole number, 2 is a factor of 498
Since 498 divided by 3 is a whole number, 3 is a factor of 498
Since 498 divided by 6 is a whole number, 6 is a factor of 498
Since 498 divided by 83 is a whole number, 83 is a factor of 498
Since 498 divided by 166 is a whole number, 166 is a factor of 498
Since 498 divided by 249 is a whole number, 249 is a factor of 498
Multiples of 498 are all integers divisible by 498 , i.e. the remainder of the full division by 498 is zero. There are infinite multiples of 498. The smallest multiples of 498 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 498 since 0 × 498 = 0
498 : in fact, 498 is a multiple of itself, since 498 is divisible by 498 (it was 498 / 498 = 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 498, the answer is: No, 498 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 498). 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 22.316 ). 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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