Is 12167 a prime number?

The number 12167 has more than 2 factors that can divide it completely without leaving any remainder. Thus, the number 12167 is a non-prime number. The factors of 12167 include 1, 23, 67, 12167.

 A number is considered a prime number if it has only 2 divisors: 1 and the number itself. Here, 12167 has more than 2 factors, making it a composite number. Given below are a few ways that can be used to determine if a number is prime or composite.

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, check whether the number is divisible by any numbers other than 1 and the number itself.

The counting divisors method for 12167 would simply be:

Divisors of 12167 = 1, 23, 67, 12167

Number of divisors = 4

The number 12167 can be considered composite.
 

In the divisibility test, we try dividing the number by any of the prime numbers. If we cannot divide it evenly, then it is considered a prime number. A prime number has only 2 divisors: 1 and itself.

The divisors of 12167 are 1, 23, 67, and 12167.

Thus, 12167 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 under 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

12167 is not present in the list, so it is not a prime number.
 

 This method is only used for a non-prime number or composite number. Since 12167 is a composite number, the prime factorization for 12167 is: Factors of 12167 = 23 × 67.
 

• Prime Number: A number greater than 1 that has no positive divisors other than 1 and itself. Example: 2, 3, 5.

• Composite Number: A number that has more than two divisors, meaning it is divisible by at least one number other than 1 and itself. Example: 4, 6, 12167.

• Divisibility Test: A method used to check if a number can be divided by another number without leaving a remainder. For example, checking if 12167 is divisible by prime numbers like 2, 3, 5, etc.

• Prime Factorization: The process of breaking down a composite number into a product of prime numbers. Example: The prime factorization of 12167 is 11 × 11 × 11 × 101.

• Divisors: Numbers that divide another number exactly, leaving no remainder. For example, the divisors of 12167 are 1, 23, 67, and 12167.