Divisibility Rule of 967

The divisibility rule for 967 is a method by which we can find out if a number is divisible by 967 or not without using the division method. Check whether 9670 is divisible by 967 with the divisibility rule.  

Step 1: Multiply the last digit of the number by 9; here in 9670, 0 is the last digit, so multiply it by 9. 0 × 9 = 0 

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 967–0 = 967.

Step 3: As it is shown that 967 is a multiple of 967, therefore, the number is divisible by 967. If the result from step 2 isn't a multiple of 967 then the number isn't divisible by 967.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 967.

Know the multiples of 967:  

Memorize the multiples of 967 (967, 1934, 2901, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 967, then the number is divisible by 967.

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 967.  
For example: Check if 19340 is divisible by 967 using the divisibility test.  
Multiply the last digit by 9, i.e., 0 × 9 = 0.  
Subtract the remaining digits excluding the last digit by 0, 1934–0 = 1934.  
Still, 1934 is a large number, hence we will repeat the process again and multiply the last digit by 9, 4 × 9 = 36.  
Now subtracting 36 from the remaining numbers excluding the last digit, 193–36 = 157.  
Since 157 is not a multiple of 967, 19340 is not divisible by 967.

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.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 967 are 967, 1934, 2901, 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 correctness of a result, often by using an alternative method such as direct division.