199is an odd number,as it is not divisible by 2
The factors for 199 are all the numbers between -199 and 199 , which divide 199 without leaving any remainder. Since 199 divided by -199 is an integer, -199 is a factor of 199 .
Since 199 divided by -199 is a whole number, -199 is a factor of 199
Since 199 divided by -1 is a whole number, -1 is a factor of 199
Since 199 divided by 1 is a whole number, 1 is a factor of 199
Multiples of 199 are all integers divisible by 199 , i.e. the remainder of the full division by 199 is zero. There are infinite multiples of 199. The smallest multiples of 199 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 199 since 0 × 199 = 0
199 : in fact, 199 is a multiple of itself, since 199 is divisible by 199 (it was 199 / 199 = 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 199, the answer is: yes, 199 is a prime number because it only has two different divisors: 1 and itself (199).
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 199). 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 14.107 ). 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.
Previous Numbers: ... 197, 198
Previous prime number: 197
Next prime number: 211