146 LearnersLast updated on May 26th, 2025
Divisibility Rule of 378
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 378.
What is the Divisibility Rule of 378?
The divisibility rule for 378 is a method by which we can determine if a number is divisible by 378 without using the division method. Check whether 756 is divisible by 378 with the divisibility rule.
Step 1: Check if the number is divisible by 2. Here, 756 ends in 6, which is even, so it is divisible by 2.
Step 2: Check if the number is divisible by 3. Add the digits of 756 (7 + 5 + 6 = 18), which is divisible by 3, so 756 is divisible by 3.
Step 3: Check if the number is divisible by 7. Follow the divisibility rule for 7: double the last digit (6 x 2 = 12) and subtract from the rest of the number (75 - 12 = 63), which is divisible by 7. Therefore, 756 is divisible by 7.
Since 756 is divisible by 2, 3, and 7, it is divisible by 378 as well.
Tips and Tricks for Divisibility Rule of 378
Learn divisibility rules to help master division. Let’s explore a few tips and tricks for the divisibility rule of 378.
- Know the multiples of 378: Memorize the multiples of 378 (378, 756, 1134, etc.) to quickly check divisibility. If the number matches a multiple, it is divisible by 378.
- Use the divisibility rules for 2, 3, and 7: Remember, a number divisible by 378 must be divisible by 2, 3, and 7 simultaneously.
- Repeat the process for large numbers: For larger numbers, repeat the divisibility tests until you find a small number that meets all the criteria.
- Use the division method to verify: Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 378
The divisibility rule of 378 helps us quickly check if a given number is divisible by 378, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking all conditions.
Ensure to check divisibility by 2, 3, and 7. All three conditions must be met for divisibility by 378.
Divisibility Rule of 378 Examples
Problem 1
Is 756 divisible by 378?
Yes, 756 is divisible by 378.
Explanation
The number 756 is double 378. Therefore, 756 is divisible by 378 as 378 x 2 = 756.
Problem 2
Check the divisibility rule of 378 for 1134.
Yes, 1134 is divisible by 378.
Explanation
To verify the divisibility of 1134 by 378, let's divide:
1134 ÷ 378 = 3.
Since the division results in an integer, 1134 is divisible by 378.
Problem 3
Is -1512 divisible by 378?
Yes, -1512 is divisible by 378.
Explanation
For negative numbers, consider the absolute value and then check divisibility:
1512 ÷ 378 = 4.
Since the division results in an integer, -1512 is divisible by 378.
Problem 4
Can 500 be divisible by 378 following the divisibility rule?
No, 500 isn't divisible by 378.
Explanation
Check the division result:
500 ÷ 378 ≈ 1.322.
Since the result is not an integer, 500 is not divisible by 378.
Problem 5
Check the divisibility rule of 378 for 3024.
Yes, 3024 is divisible by 378.
Explanation
Divide to verify:
3024 ÷ 378 = 8.
Since the division results in an integer, 3024 is divisible by 378.
FAQs on Divisibility Rule of 378
1.What is the divisibility rule for 378?
2.How many numbers between 1 and 1000 are divisible by 378?
3.Is 1134 divisible by 378?
4.What if I get 0 after subtracting when checking for 7?
5.Does the divisibility rule of 378 apply to all integers?
6.How can children in Australia use numbers in everyday life to understand Divisibility Rule of 378?
7.What are some fun ways kids in Australia can practice Divisibility Rule of 378 with numbers?
8.What role do numbers and Divisibility Rule of 378 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 378 skills?
Important Glossary for Divisibility Rule of 378
- Divisibility rule: A set of guidelines to determine if a number can be divided by another without remainder.
- Multiple: The result of multiplying a number by an integer. For example, multiples of 378 are 378, 756, etc.
- Integer: Whole numbers, including negative numbers and zero.
- Subtraction: A mathematical operation of finding the difference between numbers.
- Sum of digits: The total obtained by adding all the digits in a number, used to check divisibility by 3.
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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
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