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389is an odd number,as it is not divisible by 2
The factors for 389 are all the numbers between -389 and 389 , which divide 389 without leaving any remainder. Since 389 divided by -389 is an integer, -389 is a factor of 389 .
Since 389 divided by -389 is a whole number, -389 is a factor of 389
Since 389 divided by -1 is a whole number, -1 is a factor of 389
Since 389 divided by 1 is a whole number, 1 is a factor of 389
Multiples of 389 are all integers divisible by 389 , i.e. the remainder of the full division by 389 is zero. There are infinite multiples of 389. The smallest multiples of 389 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 389 since 0 × 389 = 0
389 : in fact, 389 is a multiple of itself, since 389 is divisible by 389 (it was 389 / 389 = 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 389, the answer is: yes, 389 is a prime number because it only has two different divisors: 1 and itself (389).
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 389). 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 19.723 ). 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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