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Last updated on May 26th, 2025

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Divisibility Rule of 813

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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 813.

Divisibility Rule of 813 for Indonesian Students
Professor Greenline from BrightChamps

What is the Divisibility Rule of 813?

The divisibility rule for 813 is a method by which we can find out if a number is divisible by 813 or not without using the division method. Check whether 2439 is divisible by 813 with the divisibility rule.

Step 1: Break down the rule by checking divisibility with its individual prime factors. The prime factors of 813 are 3, 271.

 

Step 2: Apply the divisibility rule for 3: Add up all the digits of the number. If their sum is divisible by 3, the number is divisible by 3. For 2439, the sum is 2+4+3+9=18, which is divisible by 3.

 

Step 3: Check divisibility by 271. This requires division or checking for known multiples of 271, as there is no simple rule.

 

Step 4: If the number passes both checks (divisible by 3 and 271), it is divisible by 813. Since 2439 divided by 271 gives an integer, 2439 is divisible by 813.

divisibility rule of 813

Professor Greenline from BrightChamps

Tips and Tricks for Divisibility Rule of 813

Learn divisibility rules to help master division. Let’s learn a few tips and tricks for the divisibility rule of 813.

 

Know the multiples of 271:


Memorize the multiples of 271 (271, 542, 813, etc.) to quickly check divisibility. If a number is divisible by 271 after checking, then it is divisible by 813 if it also meets the rule for 3.

 

Use divisibility rules separately:


Use the rule for 3 first, as it is simpler, then confirm with the rule for 271 or direct division.

 

Repeat the process for large numbers:


Repeat the divisibility checks for each factor to ensure the number is divisible by both, especially for larger numbers.

 

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.

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Common Mistakes and How to Avoid Them in Divisibility Rule of 813

The divisibility rule of 813 helps us to quickly check if the given number is divisible by 813, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you to understand.
 

Mistake 1

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Not following the correct steps.
 

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Students should follow the correct steps that involve checking divisibility by both 3 and 271.
 

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Divisibility Rule of 813 Examples

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Problem 1

Is 2439 divisible by 813?

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No, 2439 is not divisible by 813.  
 

Explanation

To check divisibility by 813, we follow these steps:  


1) Divide 2439 by 813 directly.  


2) 2439 ÷ 813 ≈ 3, but the remainder is not zero.  


3) Since there is a remainder, 2439 is not divisible by 813.

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Max, the Girl Character from BrightChamps

Problem 2

Check the divisibility rule of 813 for 1626.

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Yes, 1626 is divisible by 813.  
 

Explanation

To verify, follow these steps:  


1) Divide 1626 by 813 directly.  


2) 1626 ÷ 813 = 2, and the remainder is zero.  


3) Since there is no remainder, 1626 is divisible by 813.

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Max, the Girl Character from BrightChamps

Problem 3

Is -4065 divisible by 813?

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No, -4065 is not divisible by 813.  
 

Explanation

For negative numbers, disregard the sign and check divisibility:  


1) Divide 4065 by 813 directly.  


2) 4065 ÷ 813 ≈ 5, but the remainder is not zero.  


3) Since there is a remainder, -4065 is not divisible by 813.

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Max, the Girl Character from BrightChamps

Problem 4

Can 0 be divisible by 813 following the divisibility rule?

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Yes, 0 is divisible by 813.  
 

Explanation

Zero is divisible by any non-zero number:  


1) Divide 0 by 813.  


2) 0 ÷ 813 = 0, with a remainder of zero.  


3) Since the remainder is zero, 0 is divisible by 813.

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Max, the Girl Character from BrightChamps

Problem 5

Check the divisibility rule of 813 for 8130.

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Yes, 8130 is divisible by 813.  

Explanation

To check divisibility by 813:  


1) Divide 8130 by 813 directly.  


2) 8130 ÷ 813 = 10, and the remainder is zero.  


3) Since there is no remainder, 8130 is divisible by 813.

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FAQs on Divisibility Rule of 813

1.What is the divisibility rule for 813?

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2.How many numbers are there between 1 and 1000 that are divisible by 813?

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3.Is 1626 divisible by 813?

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4.What if I get 0 after checking divisibility with prime factors?

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5.Does the divisibility rule of 813 apply to all integers?

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6.How can children in Indonesia use numbers in everyday life to understand Divisibility Rule of 813?

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7.What are some fun ways kids in Indonesia can practice Divisibility Rule of 813 with numbers?

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8.What role do numbers and Divisibility Rule of 813 play in helping children in Indonesia develop problem-solving skills?

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9.How can families in Indonesia create number-rich environments to improve Divisibility Rule of 813 skills?

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Professor Greenline from BrightChamps

Important Glossaries for Divisibility Rule of 813.

  • Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.

 

  • Prime factors: The prime numbers that multiply together to make a composite number.

 

  • Multiple: A product of a number and an integer.

 

  • Sum of digits: The result of adding all the digits of a number.

 

  • Integer: A whole number that can be positive, negative, or zero.
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 813, 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!
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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.

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Fun Fact

: She loves to read number jokes and games.

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