BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon106 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Is 235 a Prime Number?

Professor Greenline Explaining Math Concepts

The numbers that have only two factors, which are 1 and itself, are called prime numbers. Prime numbers are essential in various fields such as encryption, computer algorithms, and barcode generation. In this topic, we will be discussing whether 235 is a prime number or not.

Is 235 a Prime Number? for US Students
Professor Greenline from BrightChamps

Is 235 a Prime Number?

Numbers can be categorized mainly as Prime numbers and Composite numbers, based 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 3 only.

 

Conversely, a composite number is a positive number that has more than two divisors.

For example, 6 is divisible by 1, 2, 3, and 6, making it a composite number.

 

Prime numbers have distinct properties such as:

 

  • 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.
     

          Since 235 has more than two factors, it is not a prime number.

 

is 235 a prime number

 

 

Professor Greenline from BrightChamps

Why is 235 Not a Prime Number?

The defining characteristic of a prime number is that it has only two divisors: 1 and itself.

Since 235 has more than two factors, it is not a prime number.
 

Several methods can be used to differentiate between prime and composite numbers, such as:
 

  • Counting Divisors Method
     
  • Divisibility Test
     
  • Prime Number Chart
     
  • Prime Factorization
     
Professor Greenline from BrightChamps

Using the Counting Divisors Method

The counting divisors method involves counting the number of divisors to classify numbers as prime or composite.

Based on the count of the divisors, we classify numbers accordingly:

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

Let’s check whether 235 is prime or composite.

 

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

Step 2: Divide 235 by 2. It is not divisible by 2, as it is an odd number.
 

Step 3: Divide 235 by 3. The sum of the digits (2 + 3 + 5 = 10) is not divisible by 3, so 3 is not a factor.
 

Step 4: Divide 235 by 5. Since the last digit is 5, it is divisible by 5.
 

Step 5: Continue checking divisors up to the square root of 235. Since 235 has more than 2 divisors, it is a composite number.
 

Professor Greenline from BrightChamps

Using the Divisibility Test Method

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

 

Divisibility by 2: 235 is an odd number, so it is not divisible by 2.
 

Divisibility by 3: The sum of the digits in 235 is 10. Since 10 is not divisible by 3, 235 is not divisible by 3.
 

Divisibility by 5: The unit’s place digit is 5. Therefore, 235 is divisible by 5.
 

Divisibility by 7: For divisibility by 7, double the last digit (5 × 2 = 10) and subtract it from the rest of the number (23 - 10 = 13). Since 13 is not divisible by 7, 235 is not divisible by 7. Since 235 is divisible by 5, it has more than two factors, making it a composite number.
 

Professor Greenline from BrightChamps

Using Prime Number Chart

The prime number chart is a tool created by using a method called “The Sieve of Eratosthenes.”

 

In this method, we follow these steps:
 

Step 1: Write numbers from 1 to 100 in rows and columns.
 

Step 2: Leave 1 without coloring or crossing, as it is neither prime nor composite.
 

Step 3: Mark 2 because it is a prime number, and cross out all multiples of 2.
 

Step 4: Mark 3 because it is a prime number, and cross out all multiples of 3.
 

Step 5: Continue this process up to the prime numbers in the table. Through this method, we obtain a list of prime numbers from 1 to 100. Since 235 is not present in the list, it is a composite number.
 

Professor Greenline from BrightChamps

Using the Prime Factorization Method

Prime factorization involves breaking down a number into its prime factors, and then multiplying those factors to obtain the original number.

 

Step 1: We can express 235 as 5 × 47.
 

Step 2: Both 5 and 47 are prime numbers.
 

Step 3: Thus, the prime factorization of 235 is 5 × 47.
 

Max Pointing Out Common Math Mistakes

Common Mistakes to Avoid When Determining if 235 is Not a Prime Number

Learners may have misunderstandings about prime numbers while studying them. Here are some common mistakes:

Mistake 1

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Assuming That All Odd Numbers Are Prime

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

Learners might assume that all odd numbers are prime. However, they should be taught that while most prime numbers are odd, not all odd numbers are prime.

For example, 9 is an odd number but has more than two factors, making it a composite number.

Ray Thinking Deeply About Math Problems

FAQ on is 235 a Prime Number?

1.Is 235 a perfect square?

Math FAQ Answers Dropdown Arrow

2.What is the sum of the divisors of 235?

Math FAQ Answers Dropdown Arrow

3.What are the factors of 235?

Math FAQ Answers Dropdown Arrow

4.What are the closest prime numbers to 235?

Math FAQ Answers Dropdown Arrow

5.What is the prime factorization of 235?

Math FAQ Answers Dropdown Arrow

6.How can children in United States use numbers in everyday life to understand Is 235 a Prime Number??

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in United States can practice Is 235 a Prime Number? with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Is 235 a Prime Number? play in helping children in United States develop problem-solving skills?

Math FAQ Answers Dropdown Arrow

9.How can families in United States create number-rich environments to improve Is 235 a Prime Number? skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for "Is 235 a Prime Number"

  • Composite numbers: Natural numbers greater than 1 that have more than 2 divisors. For example, 12 is a composite number because it has divisors 1, 2, 3, 4, 6, and 12.
     
  • Prime numbers: Natural numbers greater than 1 that have exactly two divisors: 1 and themselves. For example, 7 is a prime number.
     
  • Factors: Numbers that divide another number exactly without leaving a remainder. For example, the factors of 6 are 1, 2, 3, and 6.
     
  • Divisibility rules: Guidelines that help determine whether one number is divisible by another without performing division. For example, a number is divisible by 3 if the sum of its digits is divisible by 3.
     
  • Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 18 is 2 × 3 × 3.
Professor Greenline from BrightChamps

About BrightChamps in United States

At BrightChamps, we know numbers are more than just digits—it’s a way to open doors to countless opportunities! Our mission is to help kids all across the United States grasp important math skills, like today’s focus on the Is 235 a Prime Number? with a special focus on understanding prime numbers—in a way that’s lively, enjoyable, and easy to follow. Whether your child is figuring out how fast a roller coaster speeds through Disney World, keeping track of scores at a Little League baseball game, or managing their allowance to buy the latest gadgets, mastering numbers gives them the confidence they need for everyday challenges. Our interactive lessons make learning both simple and fun. Because kids in the USA learn in many different ways, we tailor our approach to fit each child’s unique style. From the bustling streets of New York City to the sunny shores of California, BrightChamps brings math to life, making it relatable and exciting throughout America. Let’s make prime numbers a fun part of every child’s math journey!
Math Teacher Background Image
Math Teacher Image

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.

Math Teacher Fun Facts Image
Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom