Divisibility Rule of 441

The divisibility rule for 441 involves checking if a number is divisible by 441 without using the division method. To determine if 194481 is divisible by 441 using the divisibility rule:

Step 1: Verify divisibility by 21 (since 441 = 21 × 21). Check if 194481 is divisible by 21. Use the divisibility rule of 21, which is a combination of divisibility rules for 3 and 7. First, check if the sum of the digits is divisible by 3 (1+9+4+4+8+1=27, and 27 is divisible by 3). Then, use the divisibility rule for 7, as described below.

Step 2: Verify divisibility by 21 again for the resulting number from Step 1, ensuring it's divisible by 21. If both conditions are satisfied, then the number is divisible by 441.

Learning the divisibility rule will help kids master division. Let’s explore some tips and tricks for the divisibility rule of 441.

• Understand factorization: Know that 441 = 21 × 21, which helps in applying the rule.
   
• Memorize multiples: Remember key multiples of 21 and 441 to quickly check divisibility.
   
• Repeat checks: For large numbers, repeat divisibility checks for both factors until a smaller, divisible number is reached.
   
• Use the division method to verify: Cross-check results using actual division to confirm accuracy.

• Divisibility Rule: A set of rules used to determine if a number is divisible by another without direct division.
   
• Factorization: Breaking down a number into its constituent factors, such as prime factors or other integers that multiply to form it.
   
• Multiple: A number obtained by multiplying a specific integer by another integer.
   
• Integer: A whole number that can be positive, negative, or zero.
   
• Verification: The process of confirming the accuracy of a calculation or result, often by using a different method.