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Last updated on February 18th, 2025

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Divisibility Rule of 938

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Foundation
Intermediate
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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 938.

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What is the Divisibility Rule of 938?

The divisibility rule for 938 helps us determine if a number is divisible by 938 without performing division. To check whether a number like 1876 is divisible by 938 using this rule, follow these steps:

 

Step 1: Divide the number into groups, each containing three digits starting from the end. For 1876, we have the groups: 876 and 1.

 

Step 2: Multiply the number in the group with the least significant digits by 938. Here, 876 × 938 = 821088.

 

Step 3: Subtract the result from Step 2 with the number formed by the remaining groups. Here, subtract 821088 from 1: 1 - 821088 = -821087.

 

Step 4: If the result is 0 or a multiple of 938, then the original number is divisible by 938.

divisibility rule of 938
 

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Tips and Tricks for Divisibility Rule of 938

Learning the divisibility rule can help kids master division. Here are a few tips and tricks for the divisibility rule of 938:

 

Know the multiples of 938:

 

Memorize the multiples of 938 (938, 1876, 2814, etc.) to quickly check divisibility. If the result from subtraction is a multiple of 938, then the number is divisible by 938.

 

Use the negative numbers:

 

If the result we get after subtraction is negative, consider it as positive for checking the divisibility of a number.

 

Repeat the process for large numbers:

 

Students should keep repeating the divisibility process until they reach a small number that is divisible by 938. For example, check if 1876000 is divisible by 938 using the divisibility test. Divide into groups: 000 and 1876, then multiply 000 by 938 = 0. Subtract from 1876: 1876 - 0 = 1876. Since 1876 is a multiple of 938, 1876000 is divisible by 938.

 

Use the division method to verify:

 

Students can use the division method to verify and cross-check their results. This will help them verify and also learn.
 

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Common Mistakes and How to Avoid Them in Divisibility Rule of 938

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Divisibility Rule of 938 Examples

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Problem 1

Is 2814 divisible by 938?

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Explanation

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Problem 2

Check the divisibility rule of 938 for 1876.

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Explanation

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Problem 3

Is -4690 divisible by 938?

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Explanation

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Problem 4

Can 469 be divisible by 938 following the divisibility rule?

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Explanation

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Problem 5

Check the divisibility rule of 938 for 1876.

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Explanation

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FAQs on Divisibility Rule of 938

1.What is the divisibility rule for 938?

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2. How many numbers are there between 1 and 10000 that are divisible by 938?

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3. Is 2814 divisible by 938?

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4.What if I get 0 after subtracting?

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5. If you get 0 after subtracting, it is considered that the number is divisible by 938.

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Important Glossaries for Divisibility Rule of 938

  • Divisibility rule: The set of rules used to determine whether a number is divisible by another without performing division.
     
  • Multiples: Multiples are the results obtained by multiplying a number by an integer. For example, multiples of 938 are 938, 1876, 2814, etc.
     
  • Integers: Integers include all whole numbers, negative numbers, and zero.
     
  • Subtraction: Subtraction is the process of finding the difference between two numbers by reducing one number from another.
     
  • Division method: A mathematical process of determining how many times one number is contained within another.
     
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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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