Is 3367 a prime number?
2026-02-28 09:47 Diff
https://brightchamps.com/en-us/math/numbers/is-3367-a-prime-number

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Last updated on August 5, 2025

Prime numbers have only 1 and the number itself as factors. They are used in digital security and in securing digital payments. The topics below will help you gain more knowledge on the prime numbers and how they are getting categorized.

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.


 

Why is 3367 not a prime number?

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

Using the Counting Divisors Method

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.
 

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Using the Divisibility Test Method

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.
 

Using the Prime Number Chart

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.
 

Using the Prime Factorization Method

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
 

Common mistakes to avoid when determining if 3367 is a prime number

It is highly likely we commit some mistakes due to confusion or unclear understanding. Let us look at possible mistakes we may make and try to avoid them.
 

FAQ’s for "Is 3367 a prime number"

1.Is 3367 a prime number?

No, 3367 is not a prime number. It is divisible by 29 and 116.
 

2.What is the largest prime factor of 3367?

The largest prime factor of 3367 is 29.
 

3.What is the smallest prime factor of 3367?

The smallest prime factor of 3367 is 29.
 

4.Is 3367 a composite number?

Yes, 3367 is a composite number because it has divisors other than 1 and itself.
 

5.How to express 3367 as a product of prime factors?

6.Represent 3367 in the prime factor tree?

3367 breaks down into 29 and 116. 116 further breaks down into 2 × 58, and 58 into 2 × 29.
 

7.Do any perfect squares exist in the prime factors of 3367?

8.Do any perfect cubes exist in the prime factors of 3367?

9.What can 3367 be divided by?

3367 can be divided by 1, 2, 29, 58, 116, and 3367.
 

Important Glossaries for "Is 3367 a Prime Number"

  • 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.
     

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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

Fun Fact

: She loves to read number jokes and games.