159 LearnersLast updated on May 26th, 2025
Divisibility Rule of 126
The divisibility rule is a way to determine if a number is divisible by another number without using the division method. In real life, we can use divisibility rules for quick math, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 126.
What is the Divisibility Rule of 126?
The divisibility rule for 126 is a method by which we can find out if a number is divisible by 126 or not without using the division method. To determine if a number is divisible by 126, it must be divisible by 2, 3, and 7, since 126 = 2 × 3 × 7.
Example: Check whether 504 is divisible by 126 using the divisibility rule.
Step 1: Check divisibility by 2. A number is divisible by 2 if its last digit is even. Here, 504 ends in 4, which is even, so it is divisible by 2.
Step 2: Check divisibility by 3. A number is divisible by 3 if the sum of its digits is divisible by 3. For 504, the sum is 5 + 0 + 4 = 9. Since 9 is divisible by 3, 504 is divisible by 3.
Step 3: Check divisibility by 7. Use the divisibility rule of 7: double the last digit and subtract it from the rest of the number. For 504, double 4 to get 8, then subtract 8 from 50, resulting in 42. Since 42 is divisible by 7, 504 is divisible by 7.
Since 504 is divisible by 2, 3, and 7, it is also divisible by 126.
Tips and Tricks for Divisibility Rule of 126
Learning the divisibility rule can help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 126.
- Break it down: Memorize the rules for divisibility by 2, 3, and 7 to simplify checking for divisibility by 126.
- Quick checks: Start by checking divisibility by 2 (even number), then 3 (sum of digits), and finally 7 (subtract twice the last digit from the rest).
- Repeat the process for large numbers: Keep repeating the divisibility process if necessary until you confirm divisibility by 2, 3, and 7.
- Use the division method to verify: Use division to verify and crosscheck results, reinforcing understanding.
Common Mistakes and How to Avoid Them in Divisibility Rule of 126
The divisibility rule of 126 helps us quickly determine if a number is divisible by 126, but common mistakes like calculation errors can lead to incorrect results. Here we will address some common mistakes.
Mistake 1
Not following the correct steps.
Follow the correct steps: check divisibility by 2, 3, and 7 separately and confirm divisibility by all three.
Divisibility Rule of 126 Examples
Problem 1
A theater sells tickets in blocks of 126. If a group purchases 504 tickets, is this number divisible by 126?
Yes, 504 is divisible by 126.
Explanation
To determine if 504 tickets can be evenly divided into blocks of 126, we divide 504 by 126. The result is 4, indicating that 504 is divisible by 126 without any remainder.
Problem 2
A company plans to distribute 1134 promotional items evenly among 9 teams. Is 1134 divisible by 126?
No, 1134 is not divisible by 126.
Explanation
To check if 1134 can be evenly divided by 126, we divide 1134 by 126. The result is approximately 9. This indicates there is a remainder, so 1134 is not divisible by 126.
Problem 3
An art exhibition plans to display 630 paintings in sections, with each section containing 126 paintings. Is 630 divisible by 126?
Yes, 630 is divisible by 126.
Explanation
To verify if 630 paintings can be evenly divided into sections of 126, we divide 630 by 126. The result is 5, which means 630 is divisible by 126 with no remainder.
Problem 4
A library categorizes its books into sets of 126. If there are 882 books, can they be evenly divided into these sets?
Yes, 882 is divisible by 126.
Explanation
To check if 882 books can be evenly divided into sets of 126, divide 882 by 126. The result is 7, indicating that 882 is divisible by 126 without any remainder.
Problem 5
A concert organizer has 756 tickets to distribute in batches of 126. Are 756 tickets divisible by 126?
Yes, 756 is divisible by 126.
Explanation
To determine if 756 tickets can be divided into batches of 126, we divide 756 by 126. The result is 6, which means 756 is divisible by 126 with no remainder.
FAQs on Divisibility Rule of 126
1. What is the divisibility rule for 126?
2.How many numbers between 1 and 1000 are divisible by 126?
3.Is 378 divisible by 126?
4.What if I get a remainder of 0 after division?
5.Does the divisibility rule of 126 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 126?
7.What are some fun ways kids in United States can practice Divisibility Rule of 126 with numbers?
8.What role do numbers and Divisibility Rule of 126 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 126 skills?
Important Glossaries for Divisibility Rule of 126
- Divisibility Rule: A set of rules used to determine if a number is divisible by another number without division.
- Multiples: Results obtained after multiplying a number by an integer. Example: multiples of 126 are 126, 252, 378, etc.
- Integers: Whole numbers, including negative numbers and zero.
- Even Numbers: Numbers divisible by 2, such as 2, 4, 6, etc.
- Sum of Digits: The total obtained by adding all the digits in a number, used in divisibility checks like for 3.
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About BrightChamps in United States
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.
