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Last updated on May 26th, 2025

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Divisibility Rule of 313

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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 use divisibility rules for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 313.

Divisibility Rule of 313 for US Students
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What is the Divisibility Rule of 313?

The divisibility rule for 313 is a method by which we can determine if a number is divisible by 313 without directly dividing. Check whether 203,569 is divisible by 313 using this rule.  


Step 1: Take the last three digits of the number, here in 203,569, which are 569.


Step 2: Subtract 3 times this value from the rest of the number, i.e., 203 - 3 × 569.


Step 3: Calculate 203 - 1707 = -1504.


Step 4: If the result is a multiple of 313, then the original number is divisible by 313. If not, it is not divisible.

divisibility rule of 313

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Tips and Tricks for Divisibility Rule of 313

Learning the divisibility rule can help students master division. Let’s explore some tips and tricks for the divisibility rule of 313.

 

Know the multiples of 313:

 

Memorize the multiples of 313 (313, 626, 939, ...etc.) to quickly check divisibility. If the result from subtraction is a multiple of 313, then the number is divisible by 313.


Use negative numbers:

 

If the subtraction result is negative, consider its absolute value to check divisibility.


Repeat the process for large numbers:

 

Students should keep repeating the divisibility process until they reach a small number that is easily recognizable as a multiple of 313. For example, check if 94,513 is divisible by 313 using the divisibility test. Take the last three digits, which is 513, and calculate 94 - 3 × 513 = 94 - 1539 = -1445. Repeat the process: Take the absolute value, 1445, and do 1 - 3 × 445 = 1 - 1335 = -1334. Since -1334 is not a multiple of 313, 94,513 is not divisible by 313.


Use the division method to verify:

 

Students can use the division method to verify their results. This will help them confirm their understanding.

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Common Mistakes and How to Avoid Them in Divisibility Rule of 313

The divisibility rule of 313 helps us quickly check if a number is divisible by 313, but common mistakes can lead to incorrect calculations. Here, we will understand some common mistakes and how to avoid them.
 

Mistake 1

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 Not following the correct steps. 

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Students should follow the steps of identifying the last three digits and using their multiple in the subtraction correctly.
 

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Divisibility Rule of 313 Examples

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Max, the Girl Character from BrightChamps

Problem 1

Is 939 divisible by 313?

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 Yes, 939 is divisible by 313.
 

Explanation

To check if 939 is divisible by 313, follow the steps:


1) Consider the last three digits as a single number, which is 939.


2) Check if 939 is a multiple of 313. Yes, 939 is a multiple of 313 (313 × 3 = 939).
 

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Max, the Girl Character from BrightChamps

Problem 2

Check the divisibility rule of 313 for 626.

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Yes, 626 is divisible by 313.
 

Explanation

For checking the divisibility rule of 313 for 626:


1) Consider the last three digits as a single number, which is 626.


2) Check if 626 is a multiple of 313. Yes, 626 is a multiple of 313 (313 × 2 = 626).

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Max, the Girl Character from BrightChamps

Problem 3

Is -313 divisible by 313?

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 Yes, -313 is divisible by 313.
 

Explanation

To check if -313 is divisible by 313:


1) Consider the last three digits as a single number, which is 313.


2) Check if 313 is a multiple of 313. Yes, 313 is a multiple of 313 (313 × 1 = 313).
 

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Max, the Girl Character from BrightChamps

Problem 4

Can 725 be divisible by 313 following the divisibility rule?

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No, 725 isn't divisible by 313.
 

Explanation

 To check if 725 is divisible by 313:


1) Consider the last three digits as a single number, which is 725.


2) Check if 725 is a multiple of 313. No, 725 isn't a multiple of 313.
 

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Max, the Girl Character from BrightChamps

Problem 5

Check the divisibility rule of 313 for 1252

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Yes, 1252 is divisible by 313.
 

 

Explanation

 To check the divisibility rule of 313 for 1252:


1) Consider the last three digits as a single number, which is 252.


2) Check if 252 can be divided by 313. No, it cannot. Hence, consider the full number 1252.


3) Check if 1252 is a multiple of 313. Yes, 1252 is a multiple of 313 (313 × 4 = 1252).
 

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FAQs on Divisibility Rule of 313

1.What is the divisibility rule for 313?

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2.How many numbers are there between 1 and 1000 that are divisible by 313?

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3.Is 626 divisible by 313?

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4.What if I get 0 after subtracting?

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5.Does the divisibility rule of 313 apply to all integers?

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6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 313?

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7.What are some fun ways kids in United States can practice Divisibility Rule of 313 with numbers?

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8.What role do numbers and Divisibility Rule of 313 play in helping children in United States develop problem-solving skills?

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9.How can families in United States create number-rich environments to improve Divisibility Rule of 313 skills?

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Professor Greenline from BrightChamps

Important Glossaries for Divisibility Rule of 313

  • Divisibility rule: A set of rules used to determine whether a number is divisible by another number.

 

  • Multiples: Numbers that result from multiplying a number by an integer. For example, multiples of 313 are 313, 626, 939, etc.

 

  • Integers: Numbers that include all whole numbers, negative numbers, and zero.

 

  • Subtraction: The process of finding the difference between two numbers by reducing one number from another.

 

  • Absolute value: The non-negative value of a number without regard to its sign.
     
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 313 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!
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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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Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

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