BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon148 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Divisibility Rule of 397

Professor Greenline Explaining Math Concepts

The divisibility rule is a way to determine whether a number is divisible by another number without performing the division operation. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 397.

Divisibility Rule of 397 for Qatari Students
Professor Greenline from BrightChamps

What is the Divisibility Rule of 397?

The divisibility rule for 397 is a method by which we can ascertain if a number is divisible by 397 without performing the division directly. Check whether 15881 is divisible by 397 using the divisibility rule.

 

Step 1: Multiply the last digit of the number by 17. In 15881, 1 is the last digit, so multiply it by 17. 1 × 17 = 17.

 

Step 2: Subtract the result from Step 1 from the remaining part of the number, excluding the last digit. That is, 1588 - 17 = 1571.

 

Step 3: Repeat the process for the result if necessary. For 1571, multiply the last digit (1) by 17, 1 × 17 = 17. Subtract from the remaining digits 157 - 17 = 140.

 

Step 4: Continue the process if necessary, but for this example, since 140 is not divisible by 397, 15881 is not divisible by 397.divisibility rule of 397

Professor Greenline from BrightChamps

Tips and Tricks for Divisibility Rule of 397

Learning the divisibility rule helps kids master division. Let’s learn a few tips and tricks for the divisibility rule of 397.

 

  • Know the multiples of 397: Memorize the multiples of 397 (397, 794, 1191, 1588, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 397, then the number is divisible by 397.
     
  • Use the negative numbers: If the result after subtraction is negative, consider its absolute value for checking divisibility.
     
  • Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 397 or can clearly determine divisibility.
     
  • 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 confirm their findings and also learn.
Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Divisibility Rule of 397

The divisibility rule of 397 helps us quickly check if a given number is divisible by 397, but common mistakes like calculation errors can 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 following the correct steps.

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

Students should follow the correct steps that involve multiplying the last digit by 17 and then subtracting the result from the remaining digits, excluding the last digit, and checking whether it is a multiple of 397.

Max from BrightChamps Saying "Hey"

Divisibility Rule of 397 Examples

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

Problem 1

Can the number 2382 be divided evenly by 397?

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

Yes, 2382 is divisible by 397.

Explanation

To determine if 2382 is divisible by 397, follow these steps:


1) Divide the number by 397 directly: 2382 ÷ 397 = 6.


2) The division results in a whole number with no remainder, indicating that 2382 is divisible by 397.

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

Problem 2

Is 1588 divisible by 397?

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

Yes, 1588 is divisible by 397.

Explanation

To verify if 1588 is divisible by 397, perform the following:


1) Divide the number by 397: 1588 ÷ 397 = 4.


2) The result is a whole number with no remainder, confirming that 1588 is divisible by 397.

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

Problem 3

Check if 1191 is divisible by 397.

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

No, 1191 is not divisible by 397.

Explanation

To check divisibility:


1) Divide 1191 by 397: 1191 ÷ 397 = 3.


2) The result is not a whole number (with a remainder), indicating 1191 is not divisible by 397.

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

Problem 4

Can the number -794 be evenly divided by 397?

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

Yes, -794 is divisible by 397.

Explanation

To check if -794 is divisible by 397, disregard the negative sign:


1) Divide 794 by 397: 794 ÷ 397 = 2.


2) The result is a whole number with no remainder, showing that -794 is divisible by 397.

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

Problem 5

Is the number 2985 divisible by 397?

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

No, 2985 is not divisible by 397.

Explanation

To determine divisibility:


1) Divide 2985 by 397: 2985 ÷ 397 ≈ 7.52.


2) The result is not a whole number, which means 2985 is not divisible by 397.

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

FAQs on Divisibility Rule of 397

1.What is the divisibility rule for 397?

Math FAQ Answers Dropdown Arrow

2.How many numbers are there between 1 and 10000 that are divisible by 397?

Math FAQ Answers Dropdown Arrow

3.Is 794 divisible by 397?

Math FAQ Answers Dropdown Arrow

4.What if I get 0 after subtracting?

Math FAQ Answers Dropdown Arrow

5.Does the divisibility rule of 397 apply to all integers?

Math FAQ Answers Dropdown Arrow

6.How can children in Qatar use numbers in everyday life to understand Divisibility Rule of 397?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in Qatar can practice Divisibility Rule of 397 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Divisibility Rule of 397 play in helping children in Qatar develop problem-solving skills?

Math FAQ Answers Dropdown Arrow

9.How can families in Qatar create number-rich environments to improve Divisibility Rule of 397 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossary for Divisibility Rule of 397

  • Divisibility rule: A set of rules used to determine if a number is divisible by another number without performing division.
     
  • Multiples: The results obtained after multiplying a number by an integer. For example, multiples of 397 are 397, 794, 1191, etc.
     
  • Integers: Numbers that include all whole numbers, negative numbers, and zero.
     
  • Subtraction: A mathematical process of finding the difference between two numbers by reducing one from the other.
     
  • Absolute value: The non-negative value of a number without regard to its sign.
Professor Greenline from BrightChamps

About BrightChamps in Qatar

At BrightChamps, we believe numbers are more than digits—they’re keys to endless opportunities! Our goal is to help children throughout Qatar strengthen vital math skills, focusing today on the Divisibility Rule of 397 with special attention to the Divisibility Rule—taught in a fun, engaging, and simple way. Whether your child is calculating the speed of a roller coaster at Qatar’s Angry Birds World, keeping track of scores at local football matches, or managing their allowance to buy the latest gadgets, understanding numbers gives them confidence for everyday challenges. Our interactive lessons make learning enjoyable and accessible. Since kids in Qatar learn in different ways, we tailor our methods to each learner’s style. From Doha’s modern cityscape to the desert landscapes, BrightChamps makes math come alive and exciting throughout Qatar. Let’s make the Divisibility Rule 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