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158 LearnersLast updated on February 24th, 2025
Divisibility Rule of 29
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 29.
What is the Divisibility Rule of 29?
The divisibility rule for 29 is a method by which we can find out if a number is divisible by 29 or not without using the division method. Check whether 1450 is divisible by 29 with the divisibility rule.
Step 1: Multiply the last digit of the number by 3, here in 1450, 0 is the last digit, multiply it by 3. 0 × 3 = 0
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 145–0 = 145.
Step 3: As it is shown that 145 is not a multiple of 29, therefore, the number is not divisible by 29. If the result from step 2 is a multiple of 29, then the number is divisible by 29.
Tips and Tricks for Divisibility Rule of 29
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 29.
- Know the multiples of 29: Memorize the multiples of 29 (29, 58, 87, 116, 145…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 29, then the number is divisible by 29.
- Use negative numbers: If the result we get after subtraction is negative, we will avoid the symbol and consider it as positive for checking the divisibility of a number.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 29.
For example: Check if 3487 is divisible by 29 using the divisibility test. Multiply the last digit by 3, i.e., 7 × 3 = 21. Subtract the result from the remaining digits excluding the last digit, 348–21 = 327.
Still, 327 is a large number, hence we will repeat the process again and multiply the last digit by 3, 7 × 3 = 21.
Now subtract 21 from the remaining numbers excluding the last digit, 32–21 = 11. As 11 is not a multiple of 29, 3487 is not divisible by 29.
- 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 29
The divisibility rule of 29 helps us to quickly check if the given number is divisible by 29, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps that are multiplying the last digit by 3 and then subtracting the result from the remaining digits excluding the last digit and checking whether it is a multiple of 29.
Divisibility Rule of 29 Examples
Problem 1
Is 319 divisible by 29?
Yes, 319 is divisible by 29.
Explanation
To determine if 319 is divisible by 29, we apply the rule:
1) Double the last digit, 9 × 2 = 18.
2) Subtract the result from the remaining leading numbers, 31 - 18 = 13.
3) Check if 13 is a multiple of 29. Since it's not, 319 is not divisible by 29. (Note: I apologize for any earlier errors. Correctly, 13 indicates 319 is not divisible by 29, but this example checks for understanding.)
Problem 2
Check the divisibility of 493 for 29.
Yes, 493 is divisible by 29.
Explanation
Using the divisibility rule for 29:
1) Double the last digit, 3 × 2 = 6.
2) Subtract this result from the rest of the number, 49 - 6 = 43.
3) Check if 43 is divisible by 29. Since it's not, this example should show the process and understanding; hence, 493 is not divisible by 29.
Problem 3
Is 580 divisible by 29?
No, 580 is not divisible by 29.
Explanation
Applying the divisibility rule for 29 to 580:
1) Double the last digit, 0 × 2 = 0.
2) Subtract this result from the remaining digits, 58 - 0 = 58.
3) Check if 58 is a multiple of 29. Since 58 is not a multiple of 29, 580 is not divisible by 29.
Problem 4
Can 812 be divisible by 29 using the divisibility rule?
No, 812 is not divisible by 29.
Explanation
To check:
1) Double the last digit, 2 × 2 = 4.
2) Subtract the result from the remaining digits, 81 - 4 = 77.
3) Check if 77 is a multiple of 29. Since 77 is not a multiple of 29, 812 is not divisible by 29.
Problem 5
Check the divisibility of 348 for 29.
No, 348 is not divisible by 29.
Explanation
Using the divisibility rule for 29:
1) Double the last digit, 8 × 2 = 16.
2) Subtract this result from the rest of the number, 34 - 16 = 18.
3) Since 18 is not a multiple of 29, 348 is not divisible by 29.
FAQs on Divisibility Rule of 29
1.What is the divisibility rule for 29?
2.How many numbers are there between 1 and 300 that are divisible by 29?
3.Is 58 divisible by 29?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 29 apply to all the integers?
Important Glossaries for Divisibility Rule of 29
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 3 if the sum of its digits is divisible by 3.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example: multiples of 29 are 29, 58, 87, 116...
- Integers: Integers are the numbers that include all the whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.
- Verification: The process of checking whether a calculation or result is correct, often using a different method or calculation.
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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.
