191 LearnersLast updated on May 26th, 2025
Divisibility Rule of 731
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 731.
What is the Divisibility Rule of 731?
The divisibility rule for 731 is a method by which we can find out if a number is divisible by 731 without using the division method. Here is an example to check whether 2193 is divisible by 731 using the divisibility rule.
Step 1: Multiply the last digit of the number by 2. In 2193, 3 is the last digit, so multiply it by 2. 3 × 2 = 6.
Step 2: Subtract the result from Step 1 from the remaining values without including the last digit. i.e., 219–6 = 213.
Step 3: As 213 is not a multiple of 731, 2193 is not divisible by 731. If the result from Step 2 were a multiple of 731, the number would be divisible by 731.
Tips and Tricks for Divisibility Rule of 731
Learning divisibility rules will help kids master division. Let's learn a few tips and tricks for the divisibility rule of 731.
Know the multiples of 731:
Memorize the multiples of 731 (731, 1462, 2193, ... etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 731, then the number is divisible by 731.
Use negative numbers:
If the result we get after subtraction is negative, we will consider the absolute value for checking divisibility.
Repeat the process for large numbers:
Students should repeat the divisibility process until they reach a smaller number to check divisibility by 731. For example, to check if 4386 is divisible by 731, multiply the last digit by 2, i.e., 6 × 2 = 12. Subtract the remaining digits excluding the last digit by 12, 438–12 = 426. As 426 is not a multiple of 731, 4386 is not divisible by 731.
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 731
The divisibility rule of 731 helps us quickly check if a given number is divisible by 731, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps: multiplying the last digit by 2 and then subtracting the result from the remaining digits, excluding the last digit, and checking whether it is a multiple of 731.
Mistake 2
Including the last digit in subtraction.
Students 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 get a large number. The process should be repeated until a smaller number that is divisible by 731 is obtained.
Mistake 4
Not considering negative values.
Students should consider negative results as positive while checking for divisibility.
Mistake 5
Confusing the steps
Students often confuse the steps or forget the sequence. To avoid this error, students should practice regularly.
Divisibility Rule of 731 Examples
Problem 1
Is 1462 divisible by 731?
Yes, 1462 is divisible by 731.
Explanation
To check if 1462 is divisible by 731, follow these steps:
1) Divide 1462 by 731.
2) The result is exactly 2, with no remainder.
3) Therefore, 1462 is divisible by 731.
Problem 2
Check the divisibility rule of 731 for 2924.
Yes, 2924 is divisible by 731.
Explanation
For checking divisibility of 2924 by 731:
1) Divide 2924 by 731.
2) The result is exactly 4, with no remainder.
3) Therefore, 2924 is divisible by 731.
Problem 3
Is -1462 divisible by 731?
Yes, -1462 is divisible by 731.
Explanation
To check if -1462 is divisible by 731, consider the positive value:
1) Remove the negative sign and divide 1462 by 731.
2) The result is exactly 2, with no remainder.
3) Therefore, -1462 is divisible by 731.
Problem 4
Can 3655 be divisible by 731 following the divisibility rule?
No, 3655 is not divisible by 731.
Explanation
To check if 3655 is divisible by 731, perform the division:
1) Divide 3655 by 731.
2) The result is not an integer, indicating a remainder.
3) Therefore, 3655 is not divisible by 731.
Problem 5
Check the divisibility rule of 731 for 5848.
Yes, 5848 is divisible by 731.
Explanation
To check the divisibility of 5848 by 731:
1) Divide 5848 by 731.
2) The result is exactly 8, with no remainder.
3) Therefore, 5848 is divisible by 731.
FAQs on Divisibility Rule of 731
1.What is the divisibility rule for 731?
2.How many numbers are there between 1 and 5000 that are divisible by 731?
3.Is 1462 divisible by 731?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 731 apply to all integers?
6.How can children in Australia use numbers in everyday life to understand Divisibility Rule of 731?
7.What are some fun ways kids in Australia can practice Divisibility Rule of 731 with numbers?
8.What role do numbers and Divisibility Rule of 731 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Divisibility Rule of 731 skills?
Important Glossaries for Divisibility Rule of 731
- Divisibility Rule: The set of rules used to find out whether a number is divisible by another number without performing division.
- Multiples: The results obtained after multiplying a number by an integer. For example, multiples of 731 are 731, 1462, 2193, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: A process of finding the difference between two numbers by reducing one number from another.
- Absolute Value: The non-negative value of a number without regard to its sign.
Explore More numbers
About BrightChamps in Australia
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.
