Is 679 a prime number?

The number 679 has factors other than 1 and itself. Thus, the number 679 is a non-prime number. The factors of 679 include 1, 13, 52, and 679.

A number to be a prime number should follow the criteria, which is that it should not have factors more than 2. Here, 679 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 679 would simply be

Divisors of 679 = 1, 13, 52, 679

Number of divisors = 4

The number 679 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 679 are 1, 13, 52, and 679.

Thus, 679 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, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
679 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 679 is a composite number, the prime factorization for 679 is:

Factors of 679 = 13 × 52
 

• Prime Number: A natural number greater than 1 that has no divisors other than 1 and itself. For example, 727 is a prime number because it can only be divided evenly by 1 and 727.

• Divisibility Test : A method used to check if one number can be divided by another without leaving a remainder. It is commonly used to determine whether a number is prime by checking divisibility by smaller prime numbers.

• Divisors: The numbers that divide into another number exactly, leaving no remainder. For instance, the divisors of 727 are 1 and 727, which makes it a prime number.

• Composite Number: A number that has more than two divisors. Unlike prime numbers, composite numbers can be divided by numbers other than 1 and itself. 727 is not a composite number, as it has only 2 divisors.

• Prime Factorization:The process of breaking down a number into its prime number factors. For 727, the prime factorization is 727 = 7 × 103, indicating that it is not a prime number.