BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon177 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Divisibility Rule of 407

Professor Greenline Explaining Math Concepts

The divisibility rule is a way to determine whether a number is divisible by another number without performing division. 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 407.

Divisibility Rule of 407 for Indonesian Students
Professor Greenline from BrightChamps

What is the Divisibility Rule of 407?

The divisibility rule for 407 is a method by which we can find out if a number is divisible by 407 or not without using the division method. Let's check whether 4070 is divisible by 407 using this rule.

 

Step 1: Check the last three digits of the number, which are 070 in 4070.

 

Step 2: If the number formed by the last three digits is 000 or a multiple of 407, then the entire number is divisible by 407. In this case, 070 is not a multiple of 407.

 

Step 3: Since 070 is not a multiple of 407, 4070 is not divisible by 407.

 

divisibility rule of 407
 

Professor Greenline from BrightChamps

Tips and Tricks for Divisibility Rule of 407

Learning the divisibility rule will help kids master division. Let’s look at a few tips and tricks for the divisibility rule of 407.

 

Know the multiples of 407: Memorize the multiples of 407 (407, 814, 1221, 1628, etc.) to quickly check divisibility. If the last three digits form a multiple of 407, the entire number is divisible by 407.


  
Use the division method to verify: Students can use the division method to verify and crosscheck their results. This will help them confirm their findings and also learn.
 

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Divisibility Rule of 407

The divisibility rule of 407 helps us quickly check if a given number is divisible by 407, but common mistakes like calculation errors can lead to incorrect conclusions. 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 the correct digits.
 

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

Students should ensure they are checking the last three digits of the number to see if they form a multiple of 407.
 

Max from BrightChamps Saying "Hey"

Divisibility Rule of 407 Examples

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

Problem 1

Is 814 divisible by 407?

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

Yes, 814 is divisible by 407.
 

Explanation

To determine if 814 is divisible by 407, divide 814 by 407. The result is exactly 2 with no remainder, confirming divisibility.

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

Problem 2

Check the divisibility of 1221 by 407.

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

 Yes, 1221 is divisible by 407.
 

Explanation

Divide 1221 by 407. The quotient is 3 with no remainder, indicating that 1221 is divisible by 407

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

Problem 3

Is -1628 divisible by 407?

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

Yes, -1628 is divisible by 407.
 

Explanation

When checking divisibility for -1628, use the absolute value. Divide 1628 by 407, resulting in exactly 4 with no remainder. Thus, -1628 is divisible by 407.
 

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

Problem 4

Can 500 be divided evenly by 407?

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

No, 500 is not divisible by 407.
 

Explanation

Divide 500 by 407. The quotient is approximately 1.229, indicating a remainder, so 500 is not divisible by 407.

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

Problem 5

Check the divisibility of 2442 by 407.

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

Yes, 2442 is divisible by 407.
 

Explanation

Divide 2442 by 407. The result is exactly 6 with no remainder, confirming 2442's divisibility by 407.

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

FAQs on Divisibility Rule of 407

1. What is the divisibility rule for 407?

Math FAQ Answers Dropdown Arrow

2. How many numbers between 1 and 5000 are divisible by 407?

Math FAQ Answers Dropdown Arrow

3.Is 1628 divisible by 407?

Math FAQ Answers Dropdown Arrow

4.What if I get 000 after checking the last three digits?

Math FAQ Answers Dropdown Arrow

5.Does the divisibility rule of 407 apply to all integers?

Math FAQ Answers Dropdown Arrow

6.How can children in Indonesia use numbers in everyday life to understand Divisibility Rule of 407?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in Indonesia can practice Divisibility Rule of 407 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Divisibility Rule of 407 play in helping children in Indonesia develop problem-solving skills?

Math FAQ Answers Dropdown Arrow

9.How can families in Indonesia create number-rich environments to improve Divisibility Rule of 407 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Divisibility Rule of 407

  • Divisibility rule: A set of rules used to determine if a number is divisible by another without performing division.

 

  • Multiples: Numbers that result from multiplying a given number by an integer. For example, multiples of 407 are 407, 814, 1221, etc.

 

  • Integer: A whole number that can be positive, negative, or zero.

 

  • Division: The process of dividing one number by another to find out how many times the second number is contained within the first.

 

  •  Digits: The individual numbers that make up a larger number, such as the hundreds, tens, and units places in a number.
Professor Greenline from BrightChamps

About BrightChamps in Indonesia

At BrightChamps, we know numbers are more than just digits—they open the door to countless opportunities! Our goal is to help children throughout Indonesia master essential math skills, like today’s Divisibility Rule of 407, with a special focus on the Divisibility Rule—explained in a lively, fun, and easy way. Whether your child is figuring out how fast a roller coaster rides at Dunia Fantasi, tracking scores at badminton games, or managing their allowance for the latest gadgets, understanding numbers gives them confidence to handle everyday situations. Our interactive lessons make learning simple and enjoyable. Since Indonesian kids learn in diverse ways, we customize our approach for each child. From Jakarta’s busy streets to Bali’s beautiful beaches, BrightChamps brings math to life and excitement throughout Indonesia. Let’s make the Divisibility Rule a fun 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