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.

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.
 

• 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.