488231is an odd number,as it is not divisible by 2
The factors for 488231 are all the numbers between -488231 and 488231 , which divide 488231 without leaving any remainder. Since 488231 divided by -488231 is an integer, -488231 is a factor of 488231 .
Since 488231 divided by -488231 is a whole number, -488231 is a factor of 488231
Since 488231 divided by -1 is a whole number, -1 is a factor of 488231
Since 488231 divided by 1 is a whole number, 1 is a factor of 488231
Multiples of 488231 are all integers divisible by 488231 , i.e. the remainder of the full division by 488231 is zero. There are infinite multiples of 488231. The smallest multiples of 488231 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 488231 since 0 × 488231 = 0
488231 : in fact, 488231 is a multiple of itself, since 488231 is divisible by 488231 (it was 488231 / 488231 = 1, so the rest of this division is zero)
976462: in fact, 976462 = 488231 × 2
1464693: in fact, 1464693 = 488231 × 3
1952924: in fact, 1952924 = 488231 × 4
2441155: in fact, 2441155 = 488231 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 488231, the answer is: yes, 488231 is a prime number because it only has two different divisors: 1 and itself (488231).
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 488231). 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 698.735 ). 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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