488921is an odd number,as it is not divisible by 2
The factors for 488921 are all the numbers between -488921 and 488921 , which divide 488921 without leaving any remainder. Since 488921 divided by -488921 is an integer, -488921 is a factor of 488921 .
Since 488921 divided by -488921 is a whole number, -488921 is a factor of 488921
Since 488921 divided by -1 is a whole number, -1 is a factor of 488921
Since 488921 divided by 1 is a whole number, 1 is a factor of 488921
Multiples of 488921 are all integers divisible by 488921 , i.e. the remainder of the full division by 488921 is zero. There are infinite multiples of 488921. The smallest multiples of 488921 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 488921 since 0 × 488921 = 0
488921 : in fact, 488921 is a multiple of itself, since 488921 is divisible by 488921 (it was 488921 / 488921 = 1, so the rest of this division is zero)
977842: in fact, 977842 = 488921 × 2
1466763: in fact, 1466763 = 488921 × 3
1955684: in fact, 1955684 = 488921 × 4
2444605: in fact, 2444605 = 488921 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 488921, the answer is: yes, 488921 is a prime number because it only has two different divisors: 1 and itself (488921).
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 488921). 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 699.229 ). 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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