The concept of prime numbers has been a subject of interest for mathematicians for thousands of years. Prime numbers are considered to be the building blocks of the number system, as they can only be divided by 1 and themselves. As a result, they play a crucial role in cryptography and coding. One question that often arises is whether a particular number is a prime number or not. In this article, we will be discussing the prime status of the number 109.

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## What are Prime Numbers?

Prime numbers are numbers that are only divisible by 1 and themselves. For example, the number 2 is a prime number as it can only be divided by 1 and 2. Similarly, the number 3 is a prime number, as it can only be divided by 1 and 3. Prime numbers are considered to be the building blocks of the number system, as every number can be represented as a product of prime numbers.

## How to Determine if a Number is Prime?

Determining if a number is a prime number is a simple process that involves dividing the number by all the positive integers less than itself, excluding 1. If the number is only divisible by 1 and itself, it is considered to be a prime number. On the other hand, if the number is divisible by any other positive integer, it is considered to be a composite number.

## Is 109 a Prime Number?

To determine if 109 is a prime number, we will apply the method discussed above. We will divide 109 by all the positive integers less than itself, excluding 1. If the result is that 109 is only divisible by 1 and itself, it will be considered a prime number.

When dividing 109 by 2, we get a result of 54 with a remainder of 1. This means that 109 is not divisible by 2 and therefore cannot be a composite number.

Next, we will divide 109 by 3. The result is 36 with a remainder of 3, which means that 109 is not divisible by 3 and therefore cannot be a composite number.

We will continue this process until we have divided 109 by all the positive integers less than itself. When we reach the number 109, we will have confirmed that it is not divisible by any other positive integer and therefore is a prime number.

**Conclusion**

In conclusion, after applying the method discussed above, it has been determined that 109 is indeed a prime number. Prime numbers play a crucial role in cryptography and coding, and the discovery of new prime numbers is of great interest to mathematicians and computer scientists alike.

It is important to note that while the method discussed in this article is a simple and straightforward way of determining if a number is a prime number, there are more sophisticated algorithms and techniques available for larger numbers. However, for small numbers such as 109, this method is sufficient and effective.

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