Is 1107 a prime number?

The number 1107 has more than two factors, which can divide the number completely without leaving any remainder. Thus, the number 1107 is a non-prime number. The factors of 1107 include 1, 3, 7, 13, 21, 39, 77, 91, 117, 161, 273, 429, and 1107.

A number to be a prime number should follow the criteria that it should not have factors more than 2. Here, 1107 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 1107 would simply be

Divisors of 1107 = 1, 3, 7, 13, 21, 39, 77, 91, 117, 161, 273, 429, 1107
Number of divisors = 13

The number 1107 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 1107 are 1, 3, 7, 13, 21, 39, 77, 91, 117, 161, 273, 429, and 1107.

Thus, 1107 consists of 13 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.

1107 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 1107 is a composite number, the prime factorization for 1107 is:

Factors of 1107 = 3 × 7 × 13

Prime Number: A number greater than 1 that has exactly two positive divisors: 1 and itself. Examples include 2, 3, and 5. A prime number cannot be divided evenly by any other number.

Composite Number: A number greater than 1 that has more than two positive divisors. It can be divided evenly by numbers other than 1 and itself. 1107 is an example of a composite number.

Divisibility Test: A method used to check if one number can be divided by another without leaving a remainder. If a number is divisible by any prime number, it is not prime.

Prime Factorization: The process of expressing a composite number as the product of its prime factors. For 1107, the prime factorization is 3 × 7 × 13.

Divisors: The numbers that divide evenly into a given number. For example, the divisors of 1107 include 1, 3, 7, 13, 21, and others.