Divisibility Rule of 829

The divisibility rule for 829 is a method by which we can find out if a number is divisible by 829 or not without using the division method. Check whether 12435 is divisible by 829 with the divisibility rule.  

Step 1: Multiply the last digit of the number by a specific factor (let's say, 9). Here in 12435, 5 is the last digit, multiply it by 9. 5 × 9 = 45. 

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. That is, 1243 - 45 = 1198.

Step 3: Repeat the process with 1198. Multiply the last digit (8) by 9. 8 × 9 = 72.

Step 4: Subtract 72 from 119. 119 - 72 = 47.

Step 5: Since 47 is not zero or divisible by 829, 12435 is not divisible by 829.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 829.

Know the multiples of 829:

Memorize the multiples of 829 (e.g., 829, 1658, 2487, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 829, then the number is divisible by 829.

Use the 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 clearly divisible by 829. 

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: 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 2 if the number ends with an even number.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 829 are 829, 1658, 2487, etc.
   
• Integers: Integers are numbers that include all 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 the accuracy or validity of a calculation, often using an alternative method like division.