508489is an odd number,as it is not divisible by 2
The factors for 508489 are all the numbers between -508489 and 508489 , which divide 508489 without leaving any remainder. Since 508489 divided by -508489 is an integer, -508489 is a factor of 508489 .
Since 508489 divided by -508489 is a whole number, -508489 is a factor of 508489
Since 508489 divided by -1 is a whole number, -1 is a factor of 508489
Since 508489 divided by 1 is a whole number, 1 is a factor of 508489
Multiples of 508489 are all integers divisible by 508489 , i.e. the remainder of the full division by 508489 is zero. There are infinite multiples of 508489. The smallest multiples of 508489 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 508489 since 0 × 508489 = 0
508489 : in fact, 508489 is a multiple of itself, since 508489 is divisible by 508489 (it was 508489 / 508489 = 1, so the rest of this division is zero)
1016978: in fact, 1016978 = 508489 × 2
1525467: in fact, 1525467 = 508489 × 3
2033956: in fact, 2033956 = 508489 × 4
2542445: in fact, 2542445 = 508489 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 508489, the answer is: yes, 508489 is a prime number because it only has two different divisors: 1 and itself (508489).
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 508489). 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 713.084 ). 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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