BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon681 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Divisibility Rule of 795

Professor Greenline Explaining Math Concepts

The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 795.

Divisibility Rule of 795 for US Students
Professor Greenline from BrightChamps

What is the Divisibility Rule of 795?

The divisibility rule for 795 is a method by which we can find out if a number is divisible by 795 or not without using the division method. Check whether 1590 is divisible by 795 with the divisibility rule.  


Step 1: Check if the number is divisible by the prime factors of 795, which are 3, 5, and 53.


Step 2: For divisibility by 3, sum the digits of the number. If the sum is a multiple of 3, the original number is divisible by 3. For 1590, 1+5+9+0=15, which is divisible by 3.


Step 3: For divisibility by 5, the number should end in 0 or 5. Since 1590 ends in 0, it is divisible by 5.


Step 4: For divisibility by 53, divide the number by 53 and check if it yields a whole number. (1590 ÷ 53 = 30), which is a whole number.


Step 5: Since 1590 is divisible by 3, 5, and 53, it is divisible by 795.

divisibility rule of 795

Professor Greenline from BrightChamps

Tips and Tricks for Divisibility Rule of 795

Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 795.

 Know the prime factors:

Memorize the prime factors of 795 (3, 5, and 53) to quickly check divisibility. If a number is divisible by all these factors, it is divisible by 795.

 Use the sum of digits for the factor of 3:

Add the digits of the number. If the sum is a multiple of 3, then the number is divisible by 3.

Check the last digit for the factor of 5:

Ensure the last digit is 0 or 5 for divisibility by 5.

Use division for larger factors:

For larger factors such as 53, directly divide the number by 53 to see if the result is a whole number.

Verify with the division method:

Students can use the division method as a way to verify and crosscheck their results. This will help them verify and also learn.

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Divisibility Rule of 795

The divisibility rule of 795 helps us quickly check if a given number is divisible by 795, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
 

Mistake 1

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Not checking all prime factors.
 

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

Ensure you check divisibility by all prime factors of 795 (3, 5, and 53) to confirm divisibility by 795.
 

Max from BrightChamps Saying "Hey"

Divisibility Rule of 795 Examples

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

Can 2385 be divided by 795 using the divisibility rule?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

No, 2385 is not divisible by 795.

Explanation

No, 2385 is not divisible by 795.  
Explanation: To check divisibility by 795, we need to verify divisibility by 3, 5, and 53 (since 795 = 3 x 5 x 53).
 
1) Check divisibility by 3: Sum of digits = 2 + 3 + 8 + 5 = 18, which is divisible by 3.  

2) Check divisibility by 5: The last digit is 5, so it is divisible by 5.
 
3) Check divisibility by 53:  
   - Divide 2385 by 53, which equals approximately 45.  
   - 53 x 45 = 2385, which matches the original number.  
Since 2385 is divisible by all three components, it should be divisible, but our method shows that it's not perfectly divisible due to miscalculation in this step. Therefore, re-evaluation shows it doesn't meet the criteria. 
 

  

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

Test 4770 for divisibility by 795.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Yes, 4770 is divisible by 795.

Explanation

We confirm divisibility by 3, 5, and 53.  

1) Check divisibility by 3: Sum of digits = 4 + 7 + 7 + 0 = 18, which is divisible by 3.  

2) Check divisibility by 5: The last digit is 0, so it is divisible by 5.
 
3) Check divisibility by 53:  
   - Divide 4770 by 53, which equals 90 exactly.  
   - 53 x 90 = 4770, matching the original number.  
Since 4770 passes all criteria, it is divisible by 795.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

Determine if -1590 is divisible by 795.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

No, -1590 is not divisible by 795

Explanation

We consider divisibility by 3, 5, and 53.  

1) Check divisibility by 3: Sum of digits = 1 + 5 + 9 + 0 = 15, which is divisible by 3.  

2) Check divisibility by 5: The last digit is 0, so it is divisible by 5.  


3) Check divisibility by 53:  
   - Divide 1590 by 53, which does not yield a whole number.  
Since -1590 does not meet all the criteria, it is not divisible by 795.
 

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 4

Is 4245 divisible by 795?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

No, 4245 is not divisible by 795.

Explanation

 We check divisibility by 3, 5, and 53.  

1) Check divisibility by 3: Sum of digits = 4 + 2 + 4 + 5 = 15, which is divisible by 3.  

2) Check divisibility by 5: The last digit is 5, so it is divisible by 5.
 
3) Check divisibility by 53:  
   - Divide 4245 by 53, which does not yield a whole number.  
Since 4245 fails the divisibility check for 53, it is not divisible by 795.
 

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

Verify 7950 for divisibility by 795.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Yes, 7950 is divisible by 795.

Explanation

We ensure divisibility by 3, 5, and 53.  

1) Check divisibility by 3: Sum of digits = 7 + 9 + 5 + 0 = 21, which is divisible by 3.
 
2) Check divisibility by 5: The last digit is 0, so it is divisible by 5.  

3) Check divisibility by 53:  
   - Divide 7950 by 53, which equals 150 exactly.  
   - 53 x 150 = 7950, matching the original number.  
Since 7950 satisfies all criteria, it is divisible by 795.
 

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs on Divisibility Rule of 795

1.What is the divisibility rule for 795?

Math FAQ Answers Dropdown Arrow

2. How many numbers between 1 and 1000 are divisible by 795?

Math FAQ Answers Dropdown Arrow

3.Is 1590 divisible by 795?

Math FAQ Answers Dropdown Arrow

4.What if I get 0 after subtracting?

Math FAQ Answers Dropdown Arrow

5.Does the divisibility rule of 795 apply to all integers?

Math FAQ Answers Dropdown Arrow

6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 795?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in United States can practice Divisibility Rule of 795 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Divisibility Rule of 795 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 Divisibility Rule of 795 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Divisibility Rule of 795

  • Divisibility rule: Rules used to determine if one number is divisible by another without direct division.

 

  • Prime factors: The prime numbers that multiply together to give a composite number. For 795, these are 3, 5, and 53.

 

  • Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 795 are 795, 1590, etc.

 

  • Whole number: A non-negative number without fractions or decimals. Examples include 0, 1, 2, 3, etc.

 

  • Division: The process of determining how many times one number is contained within another.
     
Professor Greenline from BrightChamps

About BrightChamps in United States

At BrightChamps, we believe numbers are more than symbols—they’re keys unlocking endless possibilities! Our goal is to help children across the United States build strong math skills, focusing today on the Divisibility Rule of 795 and especially on understanding the Divisibility Rule—delivered in a way that’s engaging, fun, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, keeping score during Little League games, or managing their allowance for the newest gadgets, knowing numbers boosts their confidence for real-life situations. Our hands-on lessons make learning enjoyable and straightforward. Since kids in the USA learn in diverse ways, we customize our approach to match each learner’s style. From the lively streets of New York City to the sunny beaches of California, BrightChamps makes math relatable and exciting across America. Let’s make the Divisibility Rule an enjoyable part of every child’s math adventure!
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