Divisibility Rule of 267

The divisibility rule for 267 is a method by which we can find out if a number is divisible by 267 or not without using the division method. Check whether 21336 is divisible by 267 with the divisibility rule.  

Step 1: Multiply the last digit of the number by 2, here in 21336, 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., 2133–12 = 2121.

Step 3: As it is shown that 2121 is a multiple of 267, therefore, the number is divisible by 267. If the result from step 2 isn't a multiple of 267, then the number isn't divisible by 267.

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 267.

Know the multiples of 267:  

Memorize the multiples of 267 (267, 534, 801, 1068, ... etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 267, then the number is divisible by 267.

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 267.
For example, check if 32004 is divisible by 267 using the divisibility test.  
Multiply the last digit by 2, i.e., 4 × 2 = 8.  
Subtract the remaining digits excluding the last digit by 8, 3200–8 = 3192.  
Still, 3192 is a large number, so we will repeat the process again and multiply the last digit by 2, 2 × 2 = 4.  
Now subtracting 4 from the remaining numbers excluding the last digit, 319–4 = 315.  
As 315 is a multiple of 267, 32004 is divisible by 267.

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 267 if certain conditions based on the rule are met.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 267 are 267, 534, 801, 1068, 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.

• Division: Division is the process of determining how many times one number is contained within another.