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In addition we can say of the number 2498 that it is even
2498 is an even number, as it is divisible by 2 : 2498/2 = 1249
The factors for 2498 are all the numbers between -2498 and 2498 , which divide 2498 without leaving any remainder. Since 2498 divided by -2498 is an integer, -2498 is a factor of 2498 .
Since 2498 divided by -2498 is a whole number, -2498 is a factor of 2498
Since 2498 divided by -1249 is a whole number, -1249 is a factor of 2498
Since 2498 divided by -2 is a whole number, -2 is a factor of 2498
Since 2498 divided by -1 is a whole number, -1 is a factor of 2498
Since 2498 divided by 1 is a whole number, 1 is a factor of 2498
Since 2498 divided by 2 is a whole number, 2 is a factor of 2498
Since 2498 divided by 1249 is a whole number, 1249 is a factor of 2498
Multiples of 2498 are all integers divisible by 2498 , i.e. the remainder of the full division by 2498 is zero. There are infinite multiples of 2498. The smallest multiples of 2498 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 2498 since 0 × 2498 = 0
2498 : in fact, 2498 is a multiple of itself, since 2498 is divisible by 2498 (it was 2498 / 2498 = 1, so the rest of this division is zero)
4996: in fact, 4996 = 2498 × 2
7494: in fact, 7494 = 2498 × 3
9992: in fact, 9992 = 2498 × 4
12490: in fact, 12490 = 2498 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 2498, the answer is: No, 2498 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 2498). 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 49.98 ). 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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