Is 2033 a prime number?

The number 2033 has 4 factors that are capable of dividing the number completely without leaving any remainder. Thus, the number 2033 is a non-prime number. The factors of 2033 include 1, 19, 107, 2033.

A number to be a prime number should follow the criteria that it should not have factors more than 2. Here, 2033 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 checked whether the number is divisible by any numbers other than 1 and the number itself. The counting divisors method for 2033 would simply be: 

Divisors of 2033 = 1, 19, 107, 2033
Number of divisors = 4

The number 2033 can be considered composite.
 

In the divisibility 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 2033 are 1, 19, 107, and 2033. 

Thus, 2033 consists of 4 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 2000 to 2100:

2003,2011,2017,2027,2029,2039,2053,2063,2069,2081,2083,2087,2089,2099,

2033 is not present in the list, so it is not a prime number.
 

This method is only used for a non-prime number/composite number. Since 2033 is a composite number, the prime factorization for 2033 is:

Prime Factorization of 2033 = 19 × 107
 

• Prime Number: A natural number greater than 1 that has exactly two distinct positive divisors: 1 and itself. For example, 2, 3, and 5 are prime numbers.

• Composite Number: A natural number greater than 1 that has more than two distinct divisors, meaning it can be divided by at least one other number besides 1 and itself. 

• Divisors: The numbers that can be multiplied together to yield the original number. For example, the divisors of 2033 are 1, 19, 107, 2033.

• Prime Factorization: The expression of a composite number as the product of prime numbers. For example, the prime factorization of 2033 is 19 × 107.

• Divisibility Test: A method used to determine if a number is divisible by another without performing long division. It involves checking whether the number has divisors other than 1 and itself.