Divisibility Rule of 821

The divisibility rule for 821 is a method by which we can determine if a number is divisible by 821 without using the division method. Let's check whether 1642 is divisible by 821 using the divisibility rule.

Step 1: Split the number into parts that are easy to manage. For 1642, consider 1, 6, 4, and 2 as separate components.

Step 2: Multiply each component by specific coefficients that come from the sequence of 821. In this case, imagine the sequence as 821, 8210, 82100, etc. You'd multiply: 1×821, 6×8210, 4×82100, and 2×821000.

Step 3: Add up all these products. If the sum is divisible by 821, then the original number is divisible by 821.

Learning divisibility rules helps kids master division. Here are a few tips and tricks for the divisibility rule of 821:

Know the multiples of 821:

Memorize multiples of 821 (821, 1642, 2463, 3284, etc.) to quickly check divisibility. If the sum of products is a multiple of 821, the number is divisible by 821.

Use the division method to verify:

You can use division as a way to verify and cross-check your results. This will help you confirm your findings and also reinforce learning.
 

• 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 287 are 287, 574, 861, etc.
   
• 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 confirming the correctness of a result using an alternative method, such as division, to ensure the accuracy of the divisibility test.