120199is an odd number,as it is not divisible by 2
The factors for 120199 are all the numbers between -120199 and 120199 , which divide 120199 without leaving any remainder. Since 120199 divided by -120199 is an integer, -120199 is a factor of 120199 .
Since 120199 divided by -120199 is a whole number, -120199 is a factor of 120199
Since 120199 divided by -1 is a whole number, -1 is a factor of 120199
Since 120199 divided by 1 is a whole number, 1 is a factor of 120199
Multiples of 120199 are all integers divisible by 120199 , i.e. the remainder of the full division by 120199 is zero. There are infinite multiples of 120199. The smallest multiples of 120199 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 120199 since 0 × 120199 = 0
120199 : in fact, 120199 is a multiple of itself, since 120199 is divisible by 120199 (it was 120199 / 120199 = 1, so the rest of this division is zero)
240398: in fact, 240398 = 120199 × 2
360597: in fact, 360597 = 120199 × 3
480796: in fact, 480796 = 120199 × 4
600995: in fact, 600995 = 120199 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 120199, the answer is: yes, 120199 is a prime number because it only has two different divisors: 1 and itself (120199).
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 120199). 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 346.697 ). 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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