Is 1335 a Prime Number?
2026-02-28 01:19 Diff
https://brightchamps.com/en-us/math/numbers/is-1335-a-prime-number

208 Learners

Last updated on August 5, 2025

The numbers that have only two factors, which are 1 and itself, are called prime numbers. Prime numbers are used in encryption, computer algorithms, and barcode generation. In this topic, we will be discussing whether 1335 is a prime number or not.

Is 1335 a Prime Number?

There are two main types of numbers — Prime numbers and composite numbers, depending on the number of factors.

A prime number is a natural number that is divisible only by 1 and itself. For example, 3 is a prime number because it is divisible by 1 and itself.

A composite number is a positive number that is divisible by more than two numbers. For example, 6 is divisible by 1, 2, 3, and 6, making it a composite number.

Prime numbers follow a few properties like: 

  • Prime numbers are positive numbers always greater than 1. 
     
  • 2 is the only even prime number.
     
  • They have only two factors: 1 and the number itself.
     
  • Any two distinct prime numbers are co-prime numbers because they have only one common factor, which is 1.
     
  • As 1335 has more than two factors, it is not a prime number.
     

Why is 1335 Not a Prime Number?

The characteristic of a prime number is that it has only two divisors: 1 and itself. Since 1335 has more than two factors, it is not a prime number. A few methods are used to distinguish between prime and composite numbers:

  • Counting Divisors Method
     
  • Divisibility Test 
     
  • Prime Number Chart
     
  • Prime Factorization

Using the Counting Divisors Method

The method in which we count the number of divisors to categorize the numbers as prime or composite is called the counting divisors method. Based on the count of the divisors, we categorize numbers as prime and composite.

  • If there is a total count of only 2 divisors, then the number would be prime.
     
  • If the count is more than 2, then the number is composite.

Let’s check whether 1335 is prime or composite

Step 1: All numbers are divisible by 1 and itself.

Step 2: Divide 1335 by 2. It is not divisible by 2, so 2 is not a factor of 1335.

Step 3: Divide 1335 by 3. The sum of the digits (1+3+3+5 = 12) is divisible by 3, so 3 is a factor of 1335.

Step 4: Further divisibility checks up to the square root of 1335 show additional factors.

Since 1335 has more than 2 divisors, it is a composite number.

Explore Our Programs

Using the Divisibility Test Method

We use a set of rules to check whether a number is divisible by another number completely or not. It is called the Divisibility Test Method. 

Divisibility by 2: 1335 is odd, so it is not divisible by 2. 

Divisibility by 3: The sum of the digits (1+3+3+5 = 12) is divisible by 3, so 1335 is divisible by 3. 

Divisibility by 5: The unit’s place digit is 5, so 1335 is divisible by 5.

Divisibility by 7, 11, etc., shows additional factors.

Since 1335 is divisible by more than 2 numbers, it is a composite number.

Using Prime Number Chart

The prime number chart is a tool created using a method called “The Sieve of Eratosthenes.” In this method, we follow these steps:

Step 1: Write numbers in a range such as 1 to 1000.

Step 2: Leave 1 without marking, as it is neither prime nor composite.

Step 3: Mark 2 as a prime number and cross out all multiples of 2.

Step 4: Mark 3 as a prime number and cross out all multiples of 3.

Step 5: Repeat until you have marked all prime numbers up to a certain limit.

Through this process, we find that 1335 is not in the list of prime numbers, confirming it is composite.

Using the Prime Factorization Method

Prime factorization is a process of breaking down a number into its prime factors. Then multiply those factors to obtain the original number.

Step 1: We can write 1335 as 3 × 445. 
 

Step 2: Break down 445 further into 5 × 89. 
 

Step 3: 89 is a prime number. Therefore, the prime factorization of 1335 is 3 × 5 × 89.

Common Mistakes to Avoid When Determining if 1335 is Not a Prime Number

People might have misconceptions about prime numbers when they are learning about them. Here are some mistakes that might be made.

FAQ on Is 1335 a Prime Number?

1.Is 1335 a perfect square?

2.What is the sum of the divisors of 1335?

The sum of the divisors of 1335 can be calculated by adding all its divisors, but this is typically more complex without specific software or extensive calculation.

3.What are the factors of 1335?

1335 is divisible by 1, 3, 5, 15, 89, 267, 445, and 1335, making these numbers its factors.

4.What are the closest prime numbers to 1335?

1331 and 1337 need to be checked for primality, but some known primes close to 1335 include 1327 and 1361.

5.What is the prime factorization of 1335?

The prime factorization of 1335 is 3 × 5 × 89.

Important Glossaries for "Is 1335 a Prime Number"

  • Composite numbers: Natural numbers greater than 1 that are divisible by more than 2 numbers are called composite numbers. For example, 12 is a composite number because it is divisible by 1, 2, 3, 4, 6, and 12. 
  • Factors: The numbers that divide the number exactly without leaving a remainder are called factors. For example, the factors of 4 are 1, 2, and 4 because they divide 4 completely. 
  • Divisibility rules: Guidelines used to determine whether a number is divisible by another number without performing division. 
  • Prime factorization: The process of expressing a number as the product of its prime factors.
  • Sieve of Eratosthenes: An ancient algorithm used to find all prime numbers up to a given limit by iteratively marking the multiples of each prime starting from 2.

What Are Prime Numbers? 🔢✨ | Easy Tricks & 🎯 Fun Learning for Kids | ✨BrightCHAMPS Math

▶

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.