145 LearnersLast updated on May 26th, 2025
Divisibility Rule of 129
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 129.
What is the Divisibility Rule of 129?
The divisibility rule for 129 is a method by which we can find out if a number is divisible by 129 or not without using the division method. Check whether 387 is divisible by 129 with the divisibility rule.
Step 1: Break down 129 into its prime factors, which are 3 and 43.
Step 2: Check divisibility by 3: Add up all the digits of the number. For 387, the sum is 3 + 8 + 7 = 18. Since 18 is divisible by 3, 387 passes this test.
Step 3: Check divisibility by 43: Use the division method for verification since there is no simple rule for 43. Divide 387 by 43. If the quotient is a whole number, it is divisible by 43.
Since 387 ÷ 43 = 9, which is a whole number, 387 is divisible by 43.
Since 387 is divisible by both 3 and 43, it is divisible by 129.
Tips and Tricks for Divisibility Rule of 129
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 129.
- Know the prime factors: Memorize the prime factors of 129 (3 and 43) to quickly check the divisibility. Ensure the number is divisible by both 3 and 43.
- Use addition for 3: For divisibility by 3, add the digits of the number. If the sum is a multiple of 3, then the number is divisible by 3.
- Use division for 43: Use the division method to verify divisibility by 43 as there is no simple rule for it.
- Repeat the process for large numbers: For large numbers, repeat the process to ensure divisibility by both factors.
- Verify with division: You can use the division method to verify and crosscheck results, ensuring accuracy.
Common Mistakes and How to Avoid Them in Divisibility Rule of 129
The divisibility rule of 129 helps us to quickly check if a given number is divisible by 129, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking both factors.
Ensure that the number is checked for divisibility by both 3 and 43.
Divisibility Rule of 129 Examples
Problem 1
Is 7749 divisible by 129?
Yes, 7749 is divisible by 129.
Explanation
To check if 7749 is divisible by 129, follow these steps:
1) Sum the digits of the number: 7 + 7 + 4 + 9 = 27.
2) Check if this sum (27) is divisible by 3. Yes, 27 is divisible by 3.
3) Now, check if the original number (7749) is divisible by 43 (since 129 = 3 x 43).
4) Divide 7749 by 43 to see if it gives a whole number. Yes, 7749 ÷ 43 = 180.
Therefore, 7749 is divisible by 129.
Problem 2
Check the divisibility rule of 129 for 645.
No, 645 is not divisible by 129.
Explanation
To determine if 645 is divisible by 129:
1) Sum the digits: 6 + 4 + 5 = 15.
2) Check if this sum (15) is divisible by 3. Yes, 15 is divisible by 3.
3) Divide 645 by 43 to check divisibility (since 129 = 3 x 43).
4) 645 ÷ 43 ≈ 15, which is not a whole number.
Thus, 645 is not divisible by 129.
Problem 3
Is -2580 divisible by 129?
Yes, -2580 is divisible by 129.
Explanation
To check if -2580 is divisible by 129, ignore the negative sign and proceed:
1) Sum the digits: 2 + 5 + 8 + 0 = 15.
2) Check if the sum (15) is divisible by 3. Yes, 15 is divisible by 3.
3) Divide the original number (2580) by 43.
4) 2580 ÷ 43 = 60, which is a whole number.
Therefore, -2580 is divisible by 129.
Problem 4
Can 321 be divisible by 129 following the divisibility rule?
No, 321 is not divisible by 129.
Explanation
To determine if 321 is divisible by 129:
1) Sum the digits: 3 + 2 + 1 = 6.
2) Check if this sum (6) is divisible by 3. Yes, 6 is divisible by 3.
3) Divide 321 by 43 to check divisibility.
4) 321 ÷ 43 ≈ 7.465, which is not a whole number.
Thus, 321 is not divisible by 129.
Problem 5
Check the divisibility rule of 129 for 903.
Yes, 903 is divisible by 129.
Explanation
To check if 903 is divisible by 129, follow these steps:
1) Sum the digits: 9 + 0 + 3 = 12.
2) Check if this sum (12) is divisible by 3. Yes, 12 is divisible by 3.
3) Divide 903 by 43 to check divisibility.
4) 903 ÷ 43 = 21, which is a whole number.
Therefore, 903 is divisible by 129.
FAQs on Divisibility Rule of 129
1.What is the divisibility rule for 129?
2.How many numbers are there between 1 and 1000 that are divisible by 129?
3.Is 516 divisible by 129?
4.What if I get 0 after verifying divisibility with both factors?
5.Does the divisibility rule of 129 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 129?
7.What are some fun ways kids in United States can practice Divisibility Rule of 129 with numbers?
8.What role do numbers and Divisibility Rule of 129 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 129 skills?
Important Glossaries for Divisibility Rule of 129
- Divisibility Rule: The set of rules used to determine if a number is divisible by another number without performing direct division.
- Prime Factors: The prime numbers that multiply together to give a particular number.
- Integer: Whole numbers that can be positive, negative, or zero.
- Sum of Digits: The total obtained by adding all the digits of a number, used to check divisibility by certain factors.
- Division Method: A method of dividing numbers to verify divisibility, often used for factors without simple rules.
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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.
