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Last updated on May 26th, 2025

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Divisibility Rule of 388

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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 388.

Divisibility Rule of 388 for Qatari Students
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What is the Divisibility Rule of 388?

The divisibility rule for 388 is a method by which we can find out if a number is divisible by 388 or not without using the division method. Check whether 1164 is divisible by 388 with this divisibility rule.


 
Step 1: Check if the number is divisible by 2, 4, and 97. If it is divisible by these three numbers, then it is divisible by 388. For 1164, check divisibility by 2, 4, and 97.

 

Step 2: 1164 is even, so it is divisible by 2. Then check divisibility by 4: the last two digits are 64, and 64 is divisible by 4. Finally, check divisibility by 97: divide 1164 by 97, which equals 12 with no remainder.

 

 

Step 3: Since the number is divisible by 2, 4, and 97, therefore, the number is divisible by 388.divisibility rule of 388

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Tips and Tricks for Divisibility Rule of 388

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 388.

 

  • Know the multiples of 388: Memorize the multiples of 388 (388, 776, 1164, 1552, etc.) to quickly check the divisibility. If the result from the division is a whole number, then the number is divisible by 388.
     
  • Use the divisibility of smaller factors: If a number is divisible by 2, 4, and 97, it is divisible by 388. Use this to your advantage.
     
  • Repeat the process for large numbers: Students should keep repeating the divisibility process for 2, 4, and 97 until they confirm divisibility by 388. For example, check if 2716 is divisible by 388. First, check divisibility by 2: 2716 is even. Then check divisibility by 4: the last two digits are 16, which is divisible by 4. Finally, check divisibility by 97: divide 2716 by 97, which equals 28 with no remainder. Thus, 2716 is divisible by 388.
     
  • Use the division method to verify: Students can use the division method as a way to verify and crosscheck 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 388

The divisibility rule of 388 helps us to quickly check if the given number is divisible by 388, 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 checking divisibility by all factors.

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Students should ensure they check divisibility by 2, 4, and 97, as skipping any could lead to incorrect results.

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Divisibility Rule of 388 Examples

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Problem 1

Is 1164 divisible by 388?

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Yes, 1164 is divisible by 388. 

Explanation

Let's apply a hypothetical divisibility rule for 388:  


1) Divide the number into groups of three digits starting from the right: 164 and 1.  


2) Add each group: 164 + 1 = 165.  


3) If 165 is divisible by 388, then 1164 is divisible by 388. Since 165 is not divisible by 388, 1164 is not divisible by 388. Upon rechecking, it's found that 1164 is indeed divisible by 388 without a remainder.

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Problem 2

Check the divisibility rule of 388 for 2328.

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Yes, 2328 is divisible by 388. 

Explanation

Let's apply a hypothetical divisibility rule for 388:  


1) Divide the number into groups of three digits starting from the right: 328 and 2.  


2) Add each group: 328 + 2 = 330.  


3) If 330 is divisible by 388, then 2328 is divisible by 388. Since 330 is not divisible by 388, upon rechecking, it's confirmed that 2328 is divisible by 388 without a remainder.

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Problem 3

Is -776 divisible by 388?

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Yes, -776 is divisible by 388. 

Explanation

To check if -776 is divisible by 388, consider the positive number 776.  


1) Divide the number into groups of three digits starting from the right: 776.  


2) Since there is only one group, check if 776 is divisible by 388 directly.  


3) Yes, 776 divided by 388 equals 2, with no remainder. Therefore, -776 is divisible by 388.

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Problem 4

Can 582 be divisible by 388 following the divisibility rule?

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No, 582 isn't divisible by 388.

Explanation

Let's apply a hypothetical divisibility rule for 388:  


1) Divide the number into groups of three digits starting from the right: 582.  


2) Since there is only one group, check if 582 is divisible by 388 directly.

 
3) 582 divided by 388 doesn't result in an integer, so 582 is not divisible by 388.

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Problem 5

Check the divisibility rule of 388 for 3104.

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Yes, 3104 is divisible by 388.

Explanation

Let's apply a hypothetical divisibility rule for 388:  


1) Divide the number into groups of three digits starting from the right: 104 and 3.  


2) Add each group: 104 + 3 = 107.

 
3) If 107 is divisible by 388, then 3104 is divisible by 388. Since 107 is not divisible by 388, upon rechecking, it's confirmed that 3104 is divisible by 388 without a remainder.

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FAQs on Divisibility Rule of 388

1.What is the divisibility rule for 388?

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2.How many numbers are there between 1 and 2000 that are divisible by 388?

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3.Is 776 divisible by 388?

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4.What if I get a number with no remainder after dividing by 97?

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5.Does the divisibility rule of 388 apply to all the integers?

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6.How can children in Qatar use numbers in everyday life to understand Divisibility Rule of 388?

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7.What are some fun ways kids in Qatar can practice Divisibility Rule of 388 with numbers?

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8.What role do numbers and Divisibility Rule of 388 play in helping children in Qatar develop problem-solving skills?

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9.How can families in Qatar create number-rich environments to improve Divisibility Rule of 388 skills?

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Important Glossaries for Divisibility Rule of 388

  • Divisibility rule: A set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 388 if it is divisible by 2, 4, and 97.
     
  • Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 388 are 388, 776, 1164, etc.
     
  • Factors: Factors are numbers that divide another number exactly without leaving a remainder. For example, factors of 388 are 2, 4, 97, and 388.
     
  • Integers: Integers are 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.
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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 388 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!
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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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