211 LearnersLast updated on May 26th, 2025
Divisibility Rule of 931
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 931.
What is the Divisibility Rule of 931?
The divisibility rule for 931 is a method by which we can find out if a number is divisible by 931 or not without using the division method. Check whether 1862 is divisible by 931 with the divisibility rule.
Step 1: Multiply the last digit of the number by 3, here in 1862, 2 is the last digit, multiply it by 3. 2 × 3 = 6
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit, i.e., 186–6=180.
Step 3: As it is shown that 180 is not a multiple of 931, therefore, the number is not divisible by 931. If the result from step 2 was a multiple of 931, then the number would be divisible by 931.
Tips and Tricks for Divisibility Rule of 931
Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 931.
Know the multiples of 931:
Memorize the multiples of 931 (931, 1862, 2793, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 931, then the number is divisible by 931.
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 931.
For example: Check if 3724 is divisible by 931 using the divisibility test.
Multiply the last digit by 3, i.e., 4 × 3 = 12.
Subtract the remaining digits excluding the last digit by 12, 372–12=360.
Since 360 is still a large number, repeat the process: Multiply the last digit by 3, 0 × 3=0.
Subtract 0 from the remaining numbers excluding the last digit, 36–0=36.
As 36 is not a multiple of 931, 3724 is not divisible by 931.
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.
Common Mistakes and How to Avoid Them in Divisibility Rule of 931
The divisibility rule of 931 helps us to quickly check if the given number is divisible by 931, 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 3 and then subtracting the result from the remaining digits excluding the last digit and checking whether it is a multiple of 931
Mistake 2
Including the last digit in subtraction.
Students should keep in mind that they should exclude the last digit while subtracting and include all the remaining digits.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have got a large number after subtraction. The process should be repeated until we get the smallest number that is divisible by 931.
Mistake 4
Not considering the negative values.
Students consider the negative values thinking divisibility rules don't apply to the negative values. But the divisibility rule is applicable for negative values too. So students should consider the negative values as positive while checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget the steps. To avoid the error, students should practice regularly.
Divisibility Rule of 931 Examples
Problem 1
Is 4655 divisible by 931?
Yes, 4655 is divisible by 931.
Explanation
To verify, use a hypothetical divisibility rule for 931.
1) Multiply the last digit of the number by 3, 5 × 3 = 15.
2) Subtract the result from the remaining digits, excluding the last digit, 465 – 15 = 450.
3) Check if 450 is a multiple of 931. Since 4655 is exactly 5 times 931, it is divisible by 931.
Problem 2
Check the divisibility rule of 931 for 1862.
No, 1862 is not divisible by 931.
Explanation
For checking the divisibility rule of 931 for 1862:
1) Multiply the last digit by 3, 2 × 3 = 6.
2) Subtract the result from the remaining digits, excluding the last digit, 186 – 6 = 180.
3) Check if 180 is a multiple of 931. It is not, so 1862 is not divisible by 931.
Problem 3
Is -3724 divisible by 931?
No, -3724 is not divisible by 931.
Explanation
To check if -3724 is divisible by 931, remove the negative sign and check the rule:
1) Multiply the last digit by 3, 4 × 3 = 12.
2) Subtract the result from the remaining digits, 372 – 12 = 360.
3) Check if 360 is a multiple of 931. It is not, so -3724 is not divisible by 931.
Problem 4
Can 2793 be divisible by 931 following the divisibility rule?
Yes, 2793 is divisible by 931.
Explanation
To check if 2793 is divisible by 931:
1) Multiply the last digit by 3, 3 × 3 = 9.
2) Subtract the result from the remaining digits, 279 – 9 = 270.
3) Check if 270 is a multiple of 931. Since 2793 is exactly 3 times 931, it is divisible by 931.
Problem 5
Check the divisibility rule of 931 for 5586.
Yes, 5586 is divisible by 931.
Explanation
To verify the divisibility rule for 5586:
1) Multiply the last digit by 3, 6 × 3 = 18.
2) Subtract the result from the remaining digits, 558 – 18 = 540.
3) Check if 540 is a multiple of 931. Since 5586 is exactly 6 times 931, it is divisible by 931.
FAQs on Divisibility Rule of 931
1.What is the divisibility rule for 931?
2. How many numbers are there between 1 and 10000 that are divisible by 931?
3. Is 1862 divisible by 931?
4. What if I get 0 after subtracting?
5. Does the divisibility rule of 931 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 931?
7.What are some fun ways kids in United States can practice Divisibility Rule of 931 with numbers?
8.What role do numbers and Divisibility Rule of 931 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 931 skills?
Important Glossaries for Divisibility Rule of 931
- 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 931 if certain conditions are met.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 931 are 931, 1862, 2793, 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: The process of checking and confirming that the results obtained are correct, often using a different method such as division.
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About BrightChamps in United States
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
: She loves to read number jokes and games.
