209 LearnersLast updated on May 26th, 2025
Divisibility Rule of 387
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 387.
What is the Divisibility Rule of 387?
The divisibility rule for 387 is a method by which we can find out if a number is divisible by 387 or not without using the division method. Check whether 1161 is divisible by 387 using the divisibility rule.
Step 1: Divide the number into groups of three digits from the right. Here, 1161 becomes 1 and 161.
Step 2: Multiply the first group (rightmost) by 1, the second by -2, the third by 3, and so on in alternating pattern. Calculate: 161 × 1 = 161 and 1 × (-2) = -2.
Step 3: Add these results: 161 + (-2) = 159.
Step 4: Verify if 159 is a multiple of 387. Since it is not, 1161 is not divisible by 387.
Tips and Tricks for Divisibility Rule of 387
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 387.
- Know the multiples of 387: Memorize the multiples of 387 (387, 774, 1161, etc.) to quickly check divisibility.
- Use alternating patterns: Always remember to use the alternating pattern of multiplying groups by 1, -2, 3, etc.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 387.
- Use the division method to verify: Students can use the division method to verify and crosscheck their results.
Common Mistakes and How to Avoid Them in Divisibility Rule of 387
The divisibility rule of 387 helps us quickly check if a number is divisible by 387, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Follow the correct steps of dividing the number into groups and using the alternating multiplication pattern.
Mistake 2
Including incorrect digit groups.
Ensure that the groups are correctly divided into three digits from the right.
Mistake 3
Not repeating the process when the result is large.
Repeat the process until you get the smallest number that is divisible by 387.
Mistake 4
Confusing the multiplication pattern.
Practice using the correct alternating pattern of 1, -2, 3, etc.
Mistake 5
Not verifying with division.
Always verify your results using the division method.
Divisibility Rule of 387 Examples
Problem 1
Is 774 divisible by 387?
Yes, 774 is divisible by 387.
Explanation
To check if 774 is divisible by 387, we can directly divide 774 by 387. 774 ÷ 387 = 2, which is an integer, so 774 is divisible by 387.
Problem 2
Check the divisibility rule of 387 for 1161.
Yes, 1161 is divisible by 387.
Explanation
To confirm divisibility, divide 1161 by 387. 1161 ÷ 387 = 3, which is an integer, indicating that 1161 is divisible by 387.
Problem 3
Is 1551 divisible by 387?
No, 1551 is not divisible by 387.
Explanation
When you divide 1551 by 387, the result is 4.00775, which is not an integer. Therefore, 1551 is not divisible by 387.
Problem 4
Can 2322 be divisible by 387 following the divisibility rule?
Yes, 2322 is divisible by 387.
Explanation
For checking, divide 2322 by 387. 2322 ÷ 387 = 6, which is an integer. Thus, 2322 is divisible by 387.
Problem 5
Check the divisibility rule of 387 for 1935.
No, 1935 is not divisible by 387.
Explanation
Dividing 1935 by 387 gives approximately 5.0, which is not an exact integer. Hence, 1935 is not divisible by 387.
FAQs on Divisibility Rule of 387
1.What is the divisibility rule for 387?
2.How many numbers are there between 1 and 5000 that are divisible by 387?
3.Is 1161 divisible by 387?
4.What if I get 0 after adding?
5.Does the divisibility rule of 387 apply to all integers?
6.How can children in Qatar use numbers in everyday life to understand Divisibility Rule of 387?
7.What are some fun ways kids in Qatar can practice Divisibility Rule of 387 with numbers?
8.What role do numbers and Divisibility Rule of 387 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Divisibility Rule of 387 skills?
Important Glossaries for Divisibility Rule of 387
- Divisibility rule: A set of rules used to determine whether a number is divisible by another number or not.
- Multiples: Results obtained after multiplying a number by an integer. For example, multiples of 387 are 387, 774, 1161, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Alternating pattern: A sequence of operations (such as multiplication by 1, -2, 3, etc.) used in the divisibility rule.
- Verification: The process of confirming results, often by using an alternative method such as direct division.
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About BrightChamps in Qatar
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.
