195 LearnersLast updated on May 26th, 2025
Divisibility Rule of 309
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 items. In this topic, we will learn about the divisibility rule of 309.
What is the Divisibility Rule of 309?
The divisibility rule for 309 is a method by which we can find out if a number is divisible by 309 or not without using the division method. Check whether 61782 is divisible by 309 with the divisibility rule.
Step 1: Break down 309 into its prime factors, which are 3, 3, and 103.
Step 2: Check if the number is divisible by 3. Add up the digits of 61782: 6 + 1 + 7 + 8 + 2 = 24. Since 24 is divisible by 3, 61782 is divisible by 3.
Step 3: Check if the number is divisible by 103. Use the division method to check if 61782 is divisible by 103. After performing the division, we find that 61782 is divisible by 103 without a remainder.
Step 4: Since 61782 is divisible by all the prime factors of 309, it is divisible by 309.
Tips and Tricks for Divisibility Rule of 309
Learning divisibility rules helps kids master division. Let’s learn a few tips and tricks for the divisibility rule of 309.
1. Know the multiples of 309:
Memorize the multiples of 309 (309, 618, 927, etc.) to quickly check divisibility. If the number is a multiple of 309, then it is divisible by 309.
2. Use the breakdown of factors:
Break down 309 into its prime factors (3 and 103) and check divisibility with each factor separately.
3. Repeat the process for large numbers:
Students should keep repeating the divisibility process with the factors until they reach a small number that is divisible by all the factors. For example, check if 927 is divisible by 309 using the divisibility test. First, check divisibility by 3: 9 + 2 + 7 = 18, which is divisible by 3. Then use the division method for 103: 927 ÷ 103 = 9. Since 927 is divisible by both 3 and 103, it is divisible by 309.
4. 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.
Common Mistakes and How to Avoid Them in Divisibility Rule of 309
The divisibility rule of 309 helps us quickly check if a given number is divisible by 309, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps by breaking down 309 into its prime factors and checking divisibility for each factor separately.
Mistake 2
Forgetting to check with both factors.
Students should remember to check divisibility with all the prime factors of 309 (3 and 103).
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have a large result. The process should be repeated until we achieve a result that is divisible by 309.
Mistake 4
Confusing the steps.
Students often confuse the steps or forget them. To avoid errors, students should practice regularly.
Divisibility Rule of 309 Examples
Problem 1
Is 927 divisible by 309?
Yes, 927 is divisible by 309.
Explanation
To determine if 927 is divisible by 309, we can directly divide 927 by 309.
1) Calculate 927 ÷ 309 = 3.
2) Since the quotient is a whole number, 927 is divisible by 309.
Problem 2
Check the divisibility rule of 309 for 1854.
Yes, 1854 is divisible by 309.
Explanation
To check if 1854 is divisible by 309, we will divide the number.
1) Calculate 1854 ÷ 309 = 6.
2) As the quotient is an integer, 1854 is divisible by 309.
Problem 3
Is -618 divisible by 309?
Yes, -618 is divisible by 309.
Explanation
To verify if -618 is divisible by 309, we focus on the positive value.
1) Calculate 618 ÷ 309 = 2.
2) Since the result is a whole number, -618 is divisible by 309.
Problem 4
Can 500 be divisible by 309 following the divisibility rule?
No, 500 is not divisible by 309.
Explanation
To check if 500 is divisible by 309, divide it by 309.
1) Calculate 500 ÷ 309 ≈ 1.62.
2) The quotient is not an integer, so 500 is not divisible by 309.
Problem 5
Check the divisibility rule of 309 for 1545.
Yes, 1545 is divisible by 309.
Explanation
To verify if 1545 is divisible by 309, perform the division.
1) Calculate 1545 ÷ 309 = 5.
2) The result is a whole number, indicating that 1545 is divisible by 309.
FAQs on Divisibility Rule of 309
1.What is the divisibility rule for 309?
2.How many numbers are there between 1 and 1000 that are divisible by 309?
3. Is 927 divisible by 309?
4.What if I get 0 after subtracting in the divisibility test for factors?
5.Does the divisibility rule of 309 apply to all integers?
6.How can children in Thailand use numbers in everyday life to understand Divisibility Rule of 309?
7.What are some fun ways kids in Thailand can practice Divisibility Rule of 309 with numbers?
8.What role do numbers and Divisibility Rule of 309 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Divisibility Rule of 309 skills?
Important Glossaries for Divisibility Rule of 309
- Divisibility rule: A set of rules used to determine whether a number is divisible by another number without direct division.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 309 are 309, 618, 927, etc.
- Prime factors: The prime numbers that multiply together to give a composite number. For instance, the prime factors of 309 are 3 and 103.
- Subtraction: Subtraction is the process of finding the difference between two numbers by reducing one number from another.
- Integer: Integers are numbers that include all whole numbers, negative numbers, and zero.
Explore More numbers
About BrightChamps in Thailand
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.
