164 LearnersLast updated on May 26th, 2025
Divisibility Rule of 967
The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 967.
What is the 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.
Tips and Tricks for Divisibility Rule of 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.
Common Mistakes and How to Avoid Them in Divisibility Rule of 967
The divisibility rule of 967 helps us to quickly check if the given number is divisible by 967, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps that are multiplying the last digit with 9 and then subtracting the result from the remaining digits excluding the last digit and checking whether it is a multiple of 967.
Divisibility Rule of 967 Examples
Problem 1
Is 1934 divisible by 967?
Yes, 1934 is divisible by 967.
Explanation
Let's use a unique approach to verify whether 1934 is divisible by 967.
1) Split the number into two equal parts, 19 and 34.
2) Add the two parts together, 19 + 34 = 53.
3) Check if 53 is a known multiple of a standard base that relates to 967. Here, 967 x 2 = 1934; hence, 1934 is divisible by 967.
Problem 2
Check the divisibility rule of 967 for 2901.
No, 2901 is not divisible by 967.
Explanation
Use a creative strategy to determine divisibility.
1) Separate 2901 into 29 and 01.
2) Add these parts together, 29 + 01 = 30.
3) Check if 30 meets a special condition that links to 967. Since 30 does not lead to a multiple of 967, 2901 is not divisible by 967.
Problem 3
Is -5802 divisible by 967?
No, -5802 is not divisible by 967.
Explanation
To check divisibility for -5802, we consider the absolute value.
1) Break the number 5802 into two parts, 58 and 02.
2) Subtract the smaller part from the larger, 58 - 02 = 56.
3) Verify if 56 corresponds to any specific relationship with 967. Since 56 is not connected to 967 in a meaningful divisibility way, -5802 is not divisible by 967.
Problem 4
Can 4835 be divisible by 967 using a creative divisor check?
Yes, 5802 is divisible by 967.
Explanation
Follow an innovative method to verify divisibility.
1) Divide the number into 58 and 02.
2) Multiply the sum of digits of each part, (5+8) x (0+2) = 13 x 2 = 26.
3) Check if 26 corresponds to a specific calculation that leads to 967. Here, 967 multiplied by a factor results in 5802; hence, 5802 is divisible by 967.
FAQs on Divisibility Rule of 967
1.What is the divisibility rule for 967?
2.How many numbers are there between 1 and 10000 that are divisible by 967?
3.Is 2901 divisible by 967?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 967 apply to all integers?
6.How can children in India use numbers in everyday life to understand Divisibility Rule of 967?
7.What are some fun ways kids in India can practice Divisibility Rule of 967 with numbers?
8.What role do numbers and Divisibility Rule of 967 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Divisibility Rule of 967 skills?
Important Glossaries for Divisibility Rule of 967
- 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.
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Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
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