Divisibility Rule of 469

The divisibility rule for 469 is a method by which we can find out if a number is divisible by 469 or not without using the division method. Check whether 938 is divisible by 469 with the divisibility rule.  

Step 1: Multiply the last digit of the number by 9. Here in 938, 8 is the last digit. Multiply it by 9. 8 × 9 = 72.

Step 2: Subtract the result from Step 1 from the remaining values, but do not include the last digit. i.e., 93 - 72 = 21.

Step 3: As it is shown that 21 is not a multiple of 469, therefore, the number is not divisible by 469. If the result from step 2 is a multiple of 469, then the number is divisible by 469.

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 469.

• Know the multiples of 469: Memorize the multiples of 469 (469, 938, 1407, 1876, 2345…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 469, then the number is divisible by 469.

• 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 469. 
  
  For example: Check if 2814 is divisible by 469 using the divisibility test.
  
  Multiply the last digit by 9, i.e., 4 × 9 = 36. 
  
  Subtract the remaining digits excluding the last digit by 36, 281 - 36 = 245.
  
  Still, 245 is a large number, hence we will repeat the process again and multiply the last digit by 9, 5 × 9 = 45. 
  
  Now subtracting 45 from the remaining numbers excluding the last digit, 24 - 45 = -21.
  
  As 21 is not a multiple of 469, 2814 is not divisible by 469.

• 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 even numbers.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example: multiples of 469 are 469, 938, 1407, 1876, etc.

• Integers: Integers are the 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: Verification is the process of confirming the accuracy of a result or calculation, often by performing an additional check such as division.