165 LearnersLast updated on May 26th, 2025
Divisibility Rule of 252
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 252.
What is the Divisibility Rule of 252?
The divisibility rule for 252 is a method by which we can find out if a number is divisible by 252 or not without using the division method. Check whether 504 is divisible by 252 with the divisibility rule.
Step 1: Check if the number is divisible by 2. Since 504 ends in 4, it is divisible by 2.
Step 2: Check if the number is divisible by 3. Add the digits of the number: 5 + 0 + 4 = 9. Since 9 is divisible by 3, 504 is divisible by 3.
Step 3: Check if the number is divisible by 7. Double the last digit: 4 × 2 = 8. Subtract this from the remaining part of the number: 50 - 8 = 42. Since 42 is a multiple of 7, 504 is divisible by 7.
Step 4: Since 504 is divisible by 2, 3, and 7, it is divisible by 252 (since 252 = 2 × 3 × 7).
Tips and Tricks for Divisibility Rule of 252
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 252.
- Know the factors of 252: Remember that 252 is the product of 2, 3, and 7. If a number is divisible by these, it is divisible by 252.
- Use the divisibility rules for 2, 3, and 7: Check each factor individually to determine if the number is divisible by all three.
- Combine steps: Practice combining the checks for 2, 3, and 7 to quickly ascertain divisibility by 252.
- 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 252
The divisibility rule of 252 helps us to quickly check if the given number is divisible by 252, but common mistakes like calculation errors lead to incorrect conclusions. Here, we will understand some common mistakes to avoid.
Mistake 1
Not checking all three factors.
Students should ensure they check divisibility by 2, 3, and 7, as all are required for divisibility by 252.
Divisibility Rule of 252 Examples
Problem 1
A factory produces 756 widgets. Is this total number divisible by 252?
Yes, 756 is divisible by 252.
Explanation
To determine if 756 is divisible by 252, we need to check if 756 can be divided evenly by 252 without a remainder. Performing the division, 756 ÷ 252 = 3, which is an integer, thus confirming divisibility.
Problem 2
A shipment consists of 504 boxes. Can these boxes be divided evenly into groups of 252?
Yes, 504 is divisible by 252.
Explanation
To verify divisibility, divide 504 by 252. The calculation 504 ÷ 252 = 2 results in an integer, indicating that 504 can be divided into two groups of 252.
Problem 3
A library has 1,008 books and wants to organize them into shelves, each holding 252 books. Is this possible?
Yes, 1,008 is divisible by 252.
Explanation
Check divisibility by dividing 1,008 by 252. The division 1,008 ÷ 252 = 4 yields an integer, confirming that the books can be evenly organized.
Problem 4
A concert hall has 2,016 seats and plans to arrange them in sections of 252 seats each. Can this be done evenly?
Yes, 2,016 is divisible by 252.
Explanation
To confirm divisibility, divide 2,016 by 252. The result, 2,016 ÷ 252 = 8, is an integer, indicating that the seats can be divided into sections evenly.
Problem 5
A cake shop has 378 cupcakes. Can they be packaged equally into boxes of 252 cupcakes?
No, 378 is not divisible by 252.
Explanation
Divide 378 by 252 to check for divisibility. The division 378 ÷ 252 = 1.5 is not an integer, indicating that 378 cannot be divided evenly into boxes of 252.
FAQs on Divisibility Rule of 252
1.What is the divisibility rule for 252?
2.How many numbers between 1 and 1000 are divisible by 252?
3.Is 756 divisible by 252?
4.What if I get 0 or a remainder after division?
5.Does the divisibility rule of 252 apply to all integers?
6.How can children in Australia use numbers in everyday life to understand Divisibility Rule of 252?
7.What are some fun ways kids in Australia can practice Divisibility Rule of 252 with numbers?
8.What role do numbers and Divisibility Rule of 252 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Divisibility Rule of 252 skills?
Important Glossaries for Divisibility Rule of 252
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Factors: Numbers that are multiplied to get another number; for 252, these are 2, 3, and 7.
- Multiple: A number that can be divided by another number without a remainder.
- Integer: A whole number that can be positive, negative, or zero.
- Subtraction: A process of finding the difference between two numbers, often used in divisibility checks like for 7.
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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.
