BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation

Math Table of Contents Dropdown Table Of Contents

Creative Math Ideas Image
Live Math Learners Count Icon116 Learners

Last updated on February 17th, 2025

Math Whiteboard Illustration

Divisibility Rule of 166

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
Advance Topics

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.

Professor Greenline from BrightChamps

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.

 

divisibility rule of 166
 

Professor Greenline from BrightChamps

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.
     
Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Divisibility Rule of 166

Max from BrightChamps Saying "Hey"

Divisibility Rule of 166 Examples

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

Can 4980 be divided evenly by 166?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

Verify if 6642 follows the divisibility rule of 166.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

Is 8314 divisible by 166?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 4

Determine if 13280 can be divided by 166 without a remainder.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

Test if 2490 satisfies the divisibility rule of 166.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs on Divisibility Rule of 166

1.What is the divisibility rule for 166?

Math FAQ Answers Dropdown Arrow

2.How many numbers are there between 1 and 1000 that are divisible by 166?

Math FAQ Answers Dropdown Arrow

3.Is 664 divisible by 166?

Math FAQ Answers Dropdown Arrow

4.What if I get a decimal after division?

Math FAQ Answers Dropdown Arrow

5.Does the divisibility rule of 166 apply to all integers?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

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.
     
Math Teacher Background Image
Math Teacher Image

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.

Math Teacher Fun Facts Image
Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

BrightChamps Logo
Follow Us
BrightChamps Facebook Page IconBrightChamps YouTube Channel IconBrightChamps Instagram IconBrightChamps LinkedIn Page Icon
INDONESIA
Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA
H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE
60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA
251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1)
Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2)
143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai
BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK
Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom