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Last updated on February 17th, 2025

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Divisibility Rule of 177

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The divisibility rule is a way to determine whether a number is divisible by another number without performing division. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 177.

Divisibility Rule of 177 for Indonesian Students
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What is the Divisibility Rule of 177?

The divisibility rule for 177 is a method to check if a number is divisible by 177 without using division. Let's see whether 3549 is divisible by 177 using this rule.
 

Step 1: Multiply the last digit of the number by 20, here in 3549, 9 is the last digit, so multiply it by 20. 9 × 20 = 180.
 

Step 2: Subtract the result from Step 1 from the remaining number but do not include the last digit. i.e., 354–180 = 174.
 

Step 3: Since 174 is not a multiple of 177, the number 3549 is not divisible by 177. If the result from step 2 were a multiple of 177, then the number would be divisible by 177.
 

divisibility rule of 177

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Tips and Tricks for Divisibility Rule of 177

Learning the divisibility rule can help kids master division. Let's learn a few tips and tricks for the divisibility rule of 177.
 

  • Know the multiples of 177: Memorize the multiples of 177 (177, 354, 531, 708, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 177, then the number is divisible by 177.
     
  • Use the negative numbers: If the result we obtain after subtraction is negative, disregard the sign and consider it as positive for checking divisibility.
     
  • Repeat the process for large numbers: Students should repeat the divisibility process until they reach a small number that is divisible by 177.

    For example: Check if 6213 is divisible by 177 using the divisibility test. Multiply the last digit by 20, i.e., 3 × 20 = 60. Subtract the remaining digits excluding the last digit by 60, 621–60 = 561.  

    Since 561 is still a large number, repeat the process. Multiply the last digit by 20, 1 × 20 = 20. Now subtracting 20 from the remaining numbers excluding the last digit, 56–20 = 36.

    Since 36 is not a multiple of 177, 6213 is not divisible by 177.
     
  • 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 177

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Divisibility Rule of 177 Examples

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Problem 1

Is a shipment of 26535 oranges divisible by 177?

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Explanation

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Problem 2

Check if the number 53136 is divisible by 177.

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Explanation

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Problem 3

Can a book collection with 31824 pages be grouped evenly into volumes of 177 pages each?

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Explanation

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Problem 4

Is a donation of 7128 books divisible by 177 per library?

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Explanation

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Problem 5

Determine if the number 141582 is divisible by 177.

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Explanation

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FAQs on Divisibility Rule of 177

1.What is the divisibility rule for 177?

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2.How many numbers are there between 1 and 1000 that are divisible by 177?

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3.Is 531 divisible by 177?

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4.What if I get 0 after subtracting?

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5.Does the divisibility rule of 177 apply to all integers?

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6.How can children in Indonesia use numbers in everyday life to understand Divisibility Rule of 177?

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7.What are some fun ways kids in Indonesia can practice Divisibility Rule of 177 with numbers?

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8.What role do numbers and Divisibility Rule of 177 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 177 skills?

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Important Glossaries for Divisibility Rule of 177

  • Divisibility rule: The set of rules used to determine whether a number is divisible by another number or not. For example, a number is divisible by 2 if the number ends with an even digit.
     
  • Multiples: Multiples are the results obtained after multiplying a number by an integer. For example, multiples of 177 are 177, 354, 531, 708, etc.
     
  • Integers: Integers are the numbers that 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.
     
  • Verification: This involves using another method, such as division, to confirm the results obtained from the divisibility rule.
     
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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 177, 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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