137983is an odd number,as it is not divisible by 2
The factors for 137983 are all the numbers between -137983 and 137983 , which divide 137983 without leaving any remainder. Since 137983 divided by -137983 is an integer, -137983 is a factor of 137983 .
Since 137983 divided by -137983 is a whole number, -137983 is a factor of 137983
Since 137983 divided by -1 is a whole number, -1 is a factor of 137983
Since 137983 divided by 1 is a whole number, 1 is a factor of 137983
Multiples of 137983 are all integers divisible by 137983 , i.e. the remainder of the full division by 137983 is zero. There are infinite multiples of 137983. The smallest multiples of 137983 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 137983 since 0 × 137983 = 0
137983 : in fact, 137983 is a multiple of itself, since 137983 is divisible by 137983 (it was 137983 / 137983 = 1, so the rest of this division is zero)
275966: in fact, 275966 = 137983 × 2
413949: in fact, 413949 = 137983 × 3
551932: in fact, 551932 = 137983 × 4
689915: in fact, 689915 = 137983 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 137983, the answer is: yes, 137983 is a prime number because it only has two different divisors: 1 and itself (137983).
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 137983). 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 371.461 ). 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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