206 LearnersLast updated on May 26th, 2025
Divisibility Rule of 164
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 164.
What is the Divisibility Rule of 164?
The divisibility rule for 164 is a method by which we can find out if a number is divisible by 164 or not without using the division method. Check whether 492 is divisible by 164 with the divisibility rule.
Step 1: Check if the number is divisible by 4. For 492, the last two digits are 92. Since 92 is divisible by 4, proceed to the next step.
Step 2: Check if the number is divisible by 41. To do this, add the digits of the number until a single-digit number is obtained. For 492, add 4+9+2 = 15, and then 1+5 = 6. Since 6 is not a multiple of 41, 492 is not divisible by 164.
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Tips and Tricks for Divisibility Rule of 164
Learning divisibility rules will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 164.
- Know the multiples of 164: Memorize the multiples of 164 (164, 328, 492, 656, etc.) to quickly check divisibility.
- Use the divisibility rules for 4 and 41: A number is divisible by 164 if it is divisible by both 4 and 41.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 164.
- Use the division method to verify: Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 164
The divisibility rule of 164 helps us to quickly check if the given number is divisible by 164, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to avoid them.
Mistake 1
Not checking divisibility by both 4 and 41.
Ensure the number is divisible by both 4 and 41.
Mistake 2
Forgetting to check the last two digits for divisibility by 4.
Always check the last two digits for divisibility by 4.
Mistake 3
Incorrect addition of digits for divisibility by 41.
Carefully add the digits of the number and reduce them to a single digit to check divisibility by 41.
Mistake 4
Not using the division method to confirm.
Use the division method as a final check to confirm divisibility.
Mistake 5
Confusing the steps.
Practice regularly to become familiar with the steps and avoid confusion.
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Divisibility Rule of 164 Examples
Problem 1
Is 820 divisible by 164?
Yes, 820 is divisible by 164.
Explanation
To check if 820 is divisible by 164, you can divide the number by 164 directly. 820 ÷ 164 = 5, which is a whole number. Therefore, 820 is divisible by 164.
Problem 2
Check the divisibility rule of 164 for 3280.
Yes, 3280 is divisible by 164.
Explanation
To verify if 3280 is divisible by 164, divide 3280 by 164. 3280 ÷ 164 = 20, which is a whole number. Thus, 3280 is divisible by 164.
Problem 3
Is 492 divisible by 164?
Yes, 492 is divisible by 164.
Explanation
To determine if 492 is divisible by 164, divide 492 by 164. 492 ÷ 164 = 3, which is a whole number. Therefore, 492 is divisible by 164.
Problem 4
Can 123 be divisible by 164 following the divisibility rule?
No, 123 isn't divisible by 164.
Explanation
To check if 123 is divisible by 164, divide 123 by 164. Since 123 ÷ 164 results in a fraction, 123 is not divisible by 164.
Problem 5
Check the divisibility rule of 164 for 656.
Yes, 656 is divisible by 164.
Explanation
To verify if 656 is divisible by 164, divide 656 by 164. 656 ÷ 164 = 4, which is a whole number. Therefore, 656 is divisible by 164.
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FAQs on Divisibility Rule of 164
1.What is the divisibility rule for 164?
2.How many numbers are there between 1 and 500 that are divisible by 164?
3.Is 656 divisible by 164?
4.What if I get 0 after checking divisibility by 41?
5.Does the divisibility rule of 164 apply to all the integers?
6.How can children in Philippines use numbers in everyday life to understand Divisibility Rule of 164?
7.What are some fun ways kids in Philippines can practice Divisibility Rule of 164 with numbers?
8.What role do numbers and Divisibility Rule of 164 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Divisibility Rule of 164 skills?
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Important Glossaries for Divisibility Rule of 164
- Divisibility Rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: These are the results we get after multiplying a number by an integer, such as multiples of 164: 164, 328, 492, etc.
- Digits: The individual numbers that make up a larger whole number, used in checking divisibility.
- Subtraction: The process of finding the difference between two numbers, not directly used in the rule but important in other divisibility contexts.
- Division Method: A mathematical procedure to verify the divisibility of numbers by dividing and checking for a remainder.
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About BrightChamps in Philippines
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.
Fun Fact
: She loves to read number jokes and games.
