BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon163 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Divisibility Rule of 773

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 773.

Divisibility Rule of 773 for US Students
Professor Greenline from BrightChamps

What is the Divisibility Rule of 773?

The divisibility rule for 773 is a method by which we can find out if a number is divisible by 773 or not without using the division method. Check whether 1546 is divisible by 773 with the divisibility rule.  

Step 1: Multiply the last digit of the number by 2, here in 1546, 6 is the last digit. Multiply it by 2. 6 × 2 = 12.

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 154–12 = 142.

Step 3: As it is shown that 142 is not a multiple of 773, therefore, the number is not divisible by 773. If the result from Step 2 were a multiple of 773, then the number would be divisible by 773.divisibility rule of 773
 

Professor Greenline from BrightChamps

Tips and Tricks for Divisibility Rule of 773

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 773.
 

  • Know the multiples of 773:  
    Memorize the multiples of 773 (773, 1546, 2319, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 773, then the number is divisible by 773.
     
  • Use the negative numbers:  
    If the result we get after the subtraction is negative, we will avoid the symbol and consider it as positive for checking the divisibility of a number.
     
  • Repeat the process for large numbers:  
    Students should keep repeating the divisibility process until they reach a small number that is divisible by 773.  

    For example: Check if 3092 is divisible by 773 using the divisibility test.  

    Multiply the last digit by 2, i.e., 2 × 2 = 4.  

    Subtract the remaining digits excluding the last digit by 4, 309–4 = 305.  

    Since 305 is still a large number, repeat the process: multiply the last digit by 2, 5 × 2 = 10.  

    Subtract 10 from the remaining numbers excluding the last digit, 30–10 = 20.  

    Since 20 is not a multiple of 773, 3092 is not divisible by 773.
     
  • Use the division method to verify:  
    Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.
Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Divisibility Rule of 773

The divisibility rule of 773 helps us to quickly check if the given number is divisible by 773, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to understand.

Mistake 1

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Not following the correct steps.

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

Students should follow the correct steps that are multiplying the last digit by 2 and then subtracting the result from the remaining digits excluding the last digit, and checking whether it is a multiple of 773.

Max from BrightChamps Saying "Hey"

Divisibility Rule of 773 Examples

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

Problem 1

Is 1546 divisible by 773?

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

No, 1546 is not divisible by 773.

Explanation

To check if 1546 is divisible by 773, we can perform division directly since the divisibility rule for 773 is complex. When 1546 is divided by 773, the quotient is 2 with a remainder of 0, indicating it's not divisible by 773.

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

Problem 2

Check the divisibility rule of 773 for 7730.

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

Yes, 7730 is divisible by 773.

Explanation

We can divide 7730 by 773 directly. The quotient is 10 with no remainder, proving that 7730 is divisible by 773.
 

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

Problem 3

Is -1546 divisible by 773?

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

No, -1546 is not divisible by 773.

Explanation

First, we take the absolute value and check divisibility for 1546, as negative signs do not affect divisibility. Dividing 1546 by 773 gives a quotient of 2 with a remainder, showing -1546 is not divisible by 773.

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

Problem 4

Can 77300 be divisible by 773 following the divisibility rule?

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

Yes, 77300 is divisible by 773.
 

Explanation

To check if 77300 is divisible by 773, perform the division. The quotient is 100 with no remainder, indicating 77300 is divisible by 773.

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

Problem 5

Check the divisibility rule of 773 for 5461.

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

No, 5461 is not divisible by 773.

Explanation

Dividing 5461 by 773 gives a quotient of 7 with a remainder, showing that 5461 is not divisible by 773.
 

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

FAQs on Divisibility Rule of 773

1.What is the divisibility rule for 773?

Math FAQ Answers Dropdown Arrow

2.How many numbers are there between 1 and 5000 that are divisible by 773?

Math FAQ Answers Dropdown Arrow

3.Is 1546 divisible by 773?

Math FAQ Answers Dropdown Arrow

4.What if I get 0 after subtracting?

Math FAQ Answers Dropdown Arrow

5.Does the divisibility rule of 773 apply to all the integers?

Math FAQ Answers Dropdown Arrow

6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 773?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in United States can practice Divisibility Rule of 773 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Divisibility Rule of 773 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 773 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Divisibility Rule of 773

  • Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 2 if the number ends with even numbers.
     
  • Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 773 are 773, 1546, 2319, etc.
     
  • Integers: Integers are the numbers that include all the whole numbers, negative numbers, and zero.
     
  • Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.
     
  • Verification: Verification is the process of confirming the correctness of a result, often by using an alternative method like division to check divisibility.
     
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 773 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!
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