Is 3367 a prime number?

The number 3367 has several factors that are capable of dividing the number completely without leaving any remainder. Thus, the number 3367 is not a prime number.

The factors of 3367 include 1, 3, 7, 13, 21, 49, 67, 91, 147, 203, 301, 511, 1009, and 3367.

A number to be a prime number should follow the criteria that it should not have factors more than 2. Here, 3367 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 3367 would simply be:

Divisors of 3367 = 1, 3, 7, 13, 21, 49, 67, 91, 147, 203, 301, 511, 1009, 3367
Number of divisors = 14

The number 3367 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 3367 are 1, 3, 7, 13, 21, 49, 67, 91, 147, 203, 301, 511, 1009, and 3367.

Thus, 3367 consists of 14 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.

3367 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 3367 is a composite number, the prime factorization for 3367 is:

Factors of 3367 = 3 × 7 × 13 × 37
 

• Prime Number: A natural number greater than 1 that has only two distinct positive divisors: 1 and itself. Example: 2, 3, 5, and 7.

• Composite Number: A natural number greater than 1 that has more than two divisors. For example, 4, 6, and 3367 are composite numbers because they have divisors other than 1 and the number itself.

• Divisibility Test: A method of checking whether a number is divisible by another without leaving a remainder. If a number can be divided evenly by any number other than 1 and itself, it is not prime.

• Prime Factorization: The process of expressing a composite number as the product of prime numbers. For 3367, its prime factorization is 3 × 7 × 13 × 37.

• Counting Divisors Method: A method for determining if a number is prime by counting how many numbers can divide it evenly. If the number has more than two divisors, it is not prime. 3367 has 14 divisors, indicating it is not prime.