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107 LearnersLast updated on March 30th, 2025
Divisibility Rule of 429
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 429.
What is the Divisibility Rule of 429?
The divisibility rule for 429 is a method by which we can find out if a number is divisible by 429 or not without using the division method. Check whether 858 is divisible by 429 with the divisibility rule.
Step 1: Check if the number is divisible by 3. Add the digits of 858: 8 + 5 + 8 = 21. Since 21 is divisible by 3, proceed to the next step.
Step 2: Check if the number is divisible by 11. Subtract and add the digits alternately: 8 - 5 + 8 = 11. Since 11 is divisible by 11, proceed to the next step.
Step 3: Check if the number is divisible by 13. Use the rule for 13: 8 - (8 × 9) = 8 - 72 = -64. Since -64 is not divisible by 13, 858 is not divisible by 429.
Tips and Tricks for Divisibility Rule of 429
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 429.
Know the multiples of 429:
Memorize the multiples of 429 (429, 858, 1287, etc.) to quickly check divisibility. If a composed number is a multiple of 429, then it is divisible by 429.
Use the divisibility rules for 3, 11, and 13:
A number is divisible by 429 if it is divisible by 3, 11, and 13. Use the individual rules for these divisors to check.
Repeat the process for large numbers:
Students should keep repeating the divisibility process until they reach a small number that is divisible by 429.
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 to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 429
The divisibility rule of 429 helps us to quickly check if a given number is divisible by 429, 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, checking divisibility by 3, 11, and 13 sequentially.
Divisibility Rule of 429 Examples
Problem 1
Is 858 divisible by 429?
Yes, 858 is divisible by 429.
Explanation
To check divisibility by 429, we can split the number into two parts.
1) Divide 858 by 429.
2) The division results in 2, with no remainder (858 ÷ 429 = 2).
3) Since there is no remainder, 858 is divisible by 429.
Problem 2
Check the divisibility rule of 429 for 1287.
Yes, 1287 is divisible by 429.
Explanation
To determine divisibility by 429:
1) Divide 1287 by 429.
2) The division results in 3, with no remainder (1287 ÷ 429 = 3).
3) Since there is no remainder, 1287 is divisible by 429.
Problem 3
Is 1716 divisible by 429?
Yes, 1716 is divisible by 429.
Explanation
To verify divisibility by 429:
1) Divide 1716 by 429.
2) The division gives 4, with no remainder (1716 ÷ 429 = 4).
3) Since there is no remainder, 1716 is divisible by 429.
Problem 4
Can 2000 be divisible by 429 following the divisibility rule?
No, 2000 is not divisible by 429.
Explanation
To check if 2000 is divisible by 429:
1) Divide 2000 by 429.
2) The division results in approximately 4.665, with a remainder.
3) Since there is a remainder, 2000 is not divisible by 429.
Problem 5
Check the divisibility rule of 429 for 4290.
Yes, 4290 is divisible by 429.
Explanation
To check divisibility by 429:
1) Divide 4290 by 429.
2) The division results in 10, with no remainder (4290 ÷ 429 = 10).
3) Since there is no remainder, 4290 is divisible by 429.
FAQs on Divisibility Rule of 429
1. What is the divisibility rule for 429?
2.How many numbers are there between 1 and 2000 that are divisible by 429?
3.Is 1716 divisible by 429?
4.What if I get 0 after checking for divisibility?
5.Does the divisibility rule of 429 apply to all integers?
Important Glossaries for Divisibility Rule of 429
- Divisibility rule: A set of rules used to determine if one number is divisible by another without performing division.
- Multiple: A product of a number with an integer. For example, multiples of 429 include 429, 858, and 1287.
- Integer: A whole number that can be positive, negative, or zero.
- Subtraction: The process of finding the difference between two numbers by taking one away from another.
- Verification: The process of confirming the accuracy of a result, often by using different methods such as division.
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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.
