Divisibility Rule of 467

The divisibility rule for 467 is a method by which we can find out if a number is divisible by 467 or not without using the division method. Check whether 5604 is divisible by 467 with the divisibility rule.  

Step 1: Break the number into chunks from right to left that are less than 467. Here in 5604, the last chunk is 604.  

Step 2: Multiply the remaining number by 3, i.e., 5 × 3 = 15.  

Step 3: Subtract the multiplied result from the chunk. 604 - 15 = 589.  

Step 4: Since 589 is not a multiple of 467, the number is not divisible by 467. If the result is a multiple of 467, then the number is divisible by 467.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 467.

• Know the multiples of 467: Memorize the multiples of 467 (467, 934, 1401, 1868, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 467, then the number is divisible by 467.

• 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 467.  
  
  For example: Check if 2335 is divisible by 467 using the divisibility test.  
  
  Break into chunks: 335 and 2.  
  
  Multiply the remaining number by 3: 2 × 3 = 6.  
  
  Subtract the result from the chunk: 335 - 6 = 329.  
  
  Repeat as necessary: 329 is not divisible by 467.

• Use the division method to verify: Students can use the division method to verify and cross-check their results. This will help them to verify and also learn.

• Divisibility rule: A 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 467 are 467, 934, 1401, 1868, etc.

• Integers: Integers are numbers that include all the whole numbers, negative numbers, and zero.

• Subtraction: Subtraction is a process of finding the difference between two numbers by reducing one number from another.

• Chunk: A part or section of a number used in a specific calculation or operation, particularly in divisibility rules.