1983is an odd number,as it is not divisible by 2
The factors for 1983 are all the numbers between -1983 and 1983 , which divide 1983 without leaving any remainder. Since 1983 divided by -1983 is an integer, -1983 is a factor of 1983 .
Since 1983 divided by -1983 is a whole number, -1983 is a factor of 1983
Since 1983 divided by -661 is a whole number, -661 is a factor of 1983
Since 1983 divided by -3 is a whole number, -3 is a factor of 1983
Since 1983 divided by -1 is a whole number, -1 is a factor of 1983
Multiples of 1983 are all integers divisible by 1983 , i.e. the remainder of the full division by 1983 is zero. There are infinite multiples of 1983. The smallest multiples of 1983 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 1983, the answer is: No, 1983 is not a prime number.
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 1983). 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 44.531 ). 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 prime number: 1979
Next prime number: 1987