137999is an odd number,as it is not divisible by 2
The factors for 137999 are all the numbers between -137999 and 137999 , which divide 137999 without leaving any remainder. Since 137999 divided by -137999 is an integer, -137999 is a factor of 137999 .
Since 137999 divided by -137999 is a whole number, -137999 is a factor of 137999
Since 137999 divided by -1 is a whole number, -1 is a factor of 137999
Since 137999 divided by 1 is a whole number, 1 is a factor of 137999
Multiples of 137999 are all integers divisible by 137999 , i.e. the remainder of the full division by 137999 is zero. There are infinite multiples of 137999. The smallest multiples of 137999 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 137999 since 0 × 137999 = 0
137999 : in fact, 137999 is a multiple of itself, since 137999 is divisible by 137999 (it was 137999 / 137999 = 1, so the rest of this division is zero)
275998: in fact, 275998 = 137999 × 2
413997: in fact, 413997 = 137999 × 3
551996: in fact, 551996 = 137999 × 4
689995: in fact, 689995 = 137999 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 137999, the answer is: yes, 137999 is a prime number because it only has two different divisors: 1 and itself (137999).
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 137999). 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 371.482 ). 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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