Is 1983 a prime number?

The number 1983 has got 6 factors, that are capable of dividing the number completely without leaving any remainder. Thus, the number 1983 is a non-prime number. The factors of 1983 include 1, 3, 661, 1983.

A number to be a prime number should follow the criteria, which is that it should not have factors more than 2. Here, 1983 has more than 2 factors, hence making it a composite number.

Given below are a few ways that can be used to find prime or composite numbers.

The different methods we can use to check if a number is a prime number are explained below.

1. Counting Divisors Method
2. Divisibility Test
3. Prime Number Chart
4. Prime Factorization
    

For the counting divisors method, it is to be checked whether the number is divisible by any numbers other than 1 and the number itself.

The counting divisors method for 1983 would simply be:

Divisors of 1983 = 1, 3, 661, 1983
Number of divisors = 4

The number 1983 can be considered composite.
 

In the division test, we try to divide the number by any of the prime numbers. If we cannot, then it is considered a prime number.

In the divisibility method, the prime number only has 2 divisors, which are 1 and itself.

The divisors of 1983 are 1, 3, 661, and 1983.

Thus, 1983 consists of 6 factors that divide it completely without any remainder.
 

The prime number chart is the list of prime numbers starting from 2 to infinity.

The list of prime numbers from 1900 to 2000 are:

1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987, 1993, 1997, 1999

1983 is not present in the list, it is not a prime number.
 

This method is only used for a non-prime number/composite number. Since 1983 is a composite number, the prime factorization for 1983 is:

Factors of 1983 = 3 × 661
 

• Prime Number: A natural number greater than 1 that has only two distinct positive divisors: 1 and itself. For example, 2, 3, and 5 are prime numbers. A number that is not prime is called a composite number.

• Divisibility Test: A method used to check if a number is divisible by another number without leaving a remainder. For example, if 1983 is divisible by 3, it means that 1983 ÷ 3 has no remainder.

• Composite Number: A number greater than 1 and has more than two divisors. In other words, it is not a prime number. For instance, 1983 is a composite number because it has divisors other than 1 and itself, such as 3 and 661.

• Prime Factorization: The process of breaking down a composite number into the product of prime numbers. For 1983, the prime factorization is 3 × 661.

• Counting Divisors Method: A technique used to determine whether a number is prime or composite by listing all its divisors. If the number has more than two divisors, it is a composite number. In the case of 1983, the divisors are 1, 3, 661, and 1983, showing it is a composite.