Is 1109 a prime number?

The number 1109 has only 2 factors, which are capable of dividing the number completely without leaving any remainder. Thus, the number 1109 is a prime number. The factors of 1109 include 1 and 1109.

For a number to be a prime number, it should follow the criteria of having no more than 2 factors, which are 1 and the number itself. Here, 1109 satisfies this condition, hence making it a prime 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

In 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 1109 would simply be:

Divisors of 1109 = 1, 1109
Number of divisors = 2

The number 1109 can be considered a prime number.

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

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

The divisors of 1109 are 1 and 1109.

Thus, 1109 consists of only 2 factors that divide it completely without any remainder, confirming it as a prime number.

The prime number chart is a list of prime numbers starting from 2 to infinity.
The list of prime numbers under 2000 includes 1109, confirming it is a prime number.

Prime Number: A number greater than 1 that has only two divisors: 1 and itself. It cannot be divided evenly by any other number. Examples: 2, 3, 5, 7.

Composite Number: A number greater than 1 that has more than two divisors. It can be divided evenly by numbers other than 1 and itself. Example: 4, 6, 8, 1109.

Divisibility Test: A method to determine if a number can be divided evenly by smaller prime numbers (like 2, 3, 5, 7, etc.). If it can, the number is not prime.

Prime Factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1109 is 7 × 159.

Counting Divisors Method: A technique used to determine if a number is prime by counting how many divisors it has. If a number has only 2 divisors (1 and itself), it is prime.