Is 2209 a prime number?

The number 2209 has got 3 factors, that are capable of dividing the number completely without leaving any remainder. Thus, the number 2209 is a non-prime number. The factors of 2209 include 1, 47, and 2209.

A number to be a prime number should follow the criteria, which is that it should not have factors more than 2. Here, 2209 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 2209 would simply be

Divisors of 2209 = 1, 47, 2209
Number of divisors = 3

The number 2209 can be considered composite.

In the division method, 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 2209 are 1, 47, and 2209.

Thus, 2209 consists of 3 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 under 100 are:

2, 3, 5, 7, 11, 13, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

2209 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 2209 is a composite number, the prime factorization for 2209 is:

Factors of 2209 = 47 × 47
 

• Prime Number: A number that has exactly two distinct positive divisors: 1 and itself. It cannot be divided evenly by any other number. Example: 2, 3, 5, etc.

• Composite Number: A number that has more than two distinct divisors. It can be divided evenly by numbers other than 1 and itself. Example: 4, 6, 2209.

• Divisors: Numbers that divide another number exactly without leaving a remainder. Example: The divisors of 2209 are 1, 47, and 2209.

• Prime Factorization: The process of breaking down a composite number into its prime factors. For example, the prime factorization of 2209 is 47 × 47.

• Divisibility Test: A method of checking whether a number can be divided by another number without leaving a remainder. This helps determine if a number is prime or composite. Example: 2209 is divisible by 47, which makes it composite.