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Last updated on February 17th, 2025

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Divisibility Rule of 167

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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 167.

Divisibility Rule of 167 for Indonesian Students
Professor Greenline from BrightChamps

What is the Divisibility Rule of 167?

The divisibility rule for 167 is a method by which we can find out if a number is divisible by 167 or not without using the division method. Check whether 2501 is divisible by 167 with the divisibility rule.  

Step 1: Multiply the last digit of the number by 5, here in 2501, 1 is the last digit; multiply it by 5. 1 × 5 = 5  

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 250–5 = 245.
 
Step 3: As it is shown that 245 is not a multiple of 167, therefore, the number is not divisible by 167. If the result from step 2 is a multiple of 167, then the number is divisible by 167.
 

divisibility rule of 167

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Tips and Tricks for Divisibility Rule of 167

Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 167. 
 

  • Know the multiples of 167: Memorize the multiples of 167 (167, 334, 501, 668, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 167, then the number is divisible by 167. 
     
  • Use the negative numbers: If the result we get after the subtraction is negative, we will avoid the symbol and 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 167.

    For example: Check if 5012 is divisible by 167 using the divisibility test. Multiply the last digit by 5, i.e., 2 × 5 = 10.

    Subtract the remaining digits excluding the last digit by 10, 501–10 = 491. Still, 491 is a large number, hence we will repeat the process again and multiply the last digit by 5, 1 × 5 = 5.

    Now subtracting 5 from the remaining numbers excluding the last digit, 49–5 = 44. As 44 is not a multiple of 167, 5012 is not divisible by 167.
     
  • 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 167

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Divisibility Rule of 167 Examples

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Problem 1

Is 1336 divisible by 167?

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Explanation

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Problem 2

Can 2501 be divisible by 167 following the divisibility rule?

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Explanation

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Problem 3

Check the divisibility rule of 167 for 167.

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Explanation

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Problem 4

Is 334 divisible by 167?

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Explanation

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Problem 5

Verify if 501 is divisible by 167.

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Explanation

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FAQs on Divisibility Rule of 167

1.What is the divisibility rule for 167?

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2.How many numbers are there between 1 and 1000 that are divisible by 167?

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3.Is 501 divisible by 167?

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4.What if I get 0 after subtracting?

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5.Does the divisibility rule of 167 apply to all the integers?

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6.How can children in Indonesia use numbers in everyday life to understand Divisibility Rule of 167?

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7.What are some fun ways kids in Indonesia can practice Divisibility Rule of 167 with numbers?

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8.What role do numbers and Divisibility Rule of 167 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 167 skills?

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Professor Greenline from BrightChamps

Important Glossaries for Divisibility Rule of 167

  • Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 2 if the number ends with even numbers.
     
  • Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 167 are 167, 334, 501, etc.
     
  • Integers: Integers are the numbers that include all the whole numbers, negative numbers, and zero.
     
  • Subtraction: Subtraction is the process of finding out the difference between two numbers by reducing one number from another.
     
  • Verification: The process of confirming the correctness of a result or calculation, often by performing an additional method such as division to check divisibility.
     
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 167, 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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