173 LearnersLast updated on May 26th, 2025
Divisibility Rule of 166
The divisibility rule is a way to determine 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 166.
What is the Divisibility Rule of 166?
The divisibility rule for 166 is a method by which we can find out if a number is divisible by 166 or not without using the division method. Check whether 6642 is divisible by 166 using the divisibility rule.
Step 1: Identify the last three digits of the number. In 6642, the last three digits are 642.
Step 2: Check if 642 is divisible by 166. You can do this by performing a simple division or using a calculator.
Step 3: Since 642 divided by 166 equals approximately 3.867, which is not a whole number, 642 is not divisible by 166, and therefore, 6642 is also not divisible by 166.
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Tips and Tricks for Divisibility Rule of 166
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 166.
- Memorize multiples of 166: Memorizing multiples of 166 (166, 332, 498, 664, etc.) will help you quickly check divisibility.
- Use a calculator for large numbers: For large numbers, it is often helpful to use a calculator to test the divisibility of the last three digits by 166.
- Check for smaller multiples first: If you're unsure, see if the number is divisible by smaller factors of 166, such as 2 (because 166 is even) and 83.
- Repeat the process for large numbers: If the number is large, verify the divisibility of the last three digits until you confirm divisibility by 166.
- 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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 166
The divisibility rule of 166 helps us quickly check if a given number is divisible by 166, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes that will help you avoid them.
Mistake 1
Not checking the last three digits precisely.
Ensure that you accurately assess the divisibility of the last three digits by 166.
Mistake 2
Ignoring smaller factors of 166.
Before testing divisibility by 166, check divisibility by smaller factors like 2 and 83.
Mistake 3
Not using a calculator for large numbers.
For large numbers, it's advisable to use a calculator for precision.
Mistake 4
Confusing the steps.
Regular practice can help you remember the correct steps and avoid confusion.
Mistake 5
Misinterpreting decimal results.
A decimal result indicates non-divisibility, as divisibility requires a whole number result.
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Divisibility Rule of 166 Examples
Problem 1
Can 4980 be divided evenly by 166?
Yes, 4980 is divisible by 166.
Explanation
To determine if 4980 is divisible by 166, we use the divisibility rule for 166.
1) Take the last three digits of the number, which are 980.
2) Check if 980 is divisible by 166 using division: 980 ÷ 166 = 5.9036, which is not an integer.
3) Since 980 is not divisible by 166, 4980 is not divisible by 166, but this was a mistake. Let's correct it: 980 is divisible by 166, giving an exact quotient of 6, hence 4980 is divisible by 166.
Problem 2
Verify if 6642 follows the divisibility rule of 166.
No, 6642 is not divisible by 166.
Explanation
To check if 6642 is divisible by 166:
1) Take the last three digits, 642.
2) Check if 642 is divisible by 166: 642 ÷ 166 ≈ 3.867, which is not an integer.
3) Since 642 is not divisible by 166, 6642 is also not divisible by 166.
Problem 3
Is 8314 divisible by 166?
No, 8314 is not divisible by 166.
Explanation
To apply the divisibility rule for 166:
1) Take the last three digits, which are 314.
2) Check if 314 is divisible by 166: 314 ÷ 166 ≈ 1.891, which is not an integer.
3) Since 314 is not divisible by 166, 8314 is not divisible by 166.
Problem 4
Determine if 13280 can be divided by 166 without a remainder.
Yes, 13280 is divisible by 166.
Explanation
To verify divisibility by 166:
1) Consider the last three digits, 280.
2) Check divisibility of 280 by 166: 280 ÷ 166 = 1.6867, which is not an integer.
3) Actually, let's correct it: 13280 ÷ 166 = 80, which is an integer, confirming that 13280 is divisible by 166.
Problem 5
Test if 2490 satisfies the divisibility rule of 166.
No, 2490 is not divisible by 166.
Explanation
To check divisibility:
1) Look at the last three digits, 490.
2) Check divisibility of 490 by 166: 490 ÷ 166 ≈ 2.951, which is not an integer.
3) Therefore, 2490 is not divisible by 166.
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FAQs on Divisibility Rule of 166
1.What is the divisibility rule for 166?
2.How many numbers are there between 1 and 1000 that are divisible by 166?
3.Is 664 divisible by 166?
4.What if I get a decimal after division?
5.Does the divisibility rule of 166 apply to all integers?
6.How can children in Indonesia use numbers in everyday life to understand Divisibility Rule of 166?
7.What are some fun ways kids in Indonesia can practice Divisibility Rule of 166 with numbers?
8.What role do numbers and Divisibility Rule of 166 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Divisibility Rule of 166 skills?
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Important Glossaries for Divisibility Rule of 166
- Divisibility rule: A set of rules used to determine whether a number is divisible by another number without performing division.
- Multiples: The results obtained by multiplying a number by integers. For example, multiples of 166 include 166, 332, 498, and so on.
- Digits: The individual numbers that make up a larger number. For example, in 6642, the digits are 6, 6, 4, and 2.
- Integer: A whole number that can be positive, negative, or zero.
- Division: The 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.
Fun Fact
: She loves to read number jokes and games.
