Divisibility Rule of 463

The divisibility rule for 463 is a method by which we can find out if a number is divisible by 463 or not without using the division method. Check whether 926 is divisible by 463 with the divisibility rule.

Step 1: Multiply the last digit of the number by 2, here in 926, 6 is the last digit, multiply it by 2. 6 × 2 = 12.

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 92 – 12 = 80.  

Step 3: As it is shown that 80 is not a multiple of 463, therefore, the number is not divisible by 463. If the result from step 2 is a multiple of 463, then the number is divisible by 463.

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 463.

• Know the multiples of 463: Memorize the multiples of 463 (463, 926, 1389, 1852, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 463, then the number is divisible by 463.

• 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 463.  
  
  For example: Check if 1389 is divisible by 463 using the divisibility test.  
  
  Multiply the last digit by 2, i.e., 9 × 2 = 18  
  
  Subtract the remaining digits excluding the last digit by 18, 138 – 18 = 120  
  
  Still, 120 is not a number divisible by 463, so 1389 is not divisible by 463.

• 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 463 are 463, 926, 1389, 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: Verification is the process of confirming the accuracy of a calculation or result.