Divisibility Rule of 447

The divisibility rule for 447 is a method by which we can find out if a number is divisible by 447 or not without using the division method. Check whether 1341 is divisible by 447 with the divisibility rule.

Step 1: Multiply the last digit of the number by 2. Here in 1341, 1 is the last digit, so multiply it by 2. 1 × 2 = 2

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 134 - 2 = 132.

Step 3: As it is shown that 132 is a multiple of 447, therefore, the number is divisible by 447. If the result from step 2 isn't a multiple of 447, then the number isn't divisible by 447.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 447.

• Know the multiples of 447: Memorize the multiples of 447 (447, 894, 1341, 1788, 2235…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 447, then the number is divisible by 447.
   
• Use the negative numbers: If the result we get after the 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 divisible by 447. For example, check if 4023 is divisible by 447 using the divisibility test. Multiply the last digit by 2, i.e., 3 × 2 = 6. Subtract the remaining digits excluding the last digit by 6, 402 - 6 = 396. Still, 396 is a large number, hence we will repeat the process again and multiply the last digit by 2, 6 × 2 = 12. Now subtracting 12 from the remaining numbers excluding the last digit, 39 - 12 = 27. As 27 is a multiple of 447, 4023 is divisible by 447.
   
• Use the division method to verify: Students can use the division method as a way to verify and crosscheck 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.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 447 are 447, 894, 1341, 1788, 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 confirming the accuracy of calculations or results, often by using a different method such as division.