189 LearnersLast updated on May 26th, 2025
Divisibility Rule of 713
The divisibility rule is a method to determine 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 713.
What is the Divisibility Rule of 713?
The divisibility rule for 713 is a method by which we can find out if a number is divisible by 713 without using the division method. Check whether 2139 is divisible by 713 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2. Here in 2139, 9 is the last digit, so multiply it by 2. 9 × 2 = 18.
Step 2: Subtract the result from Step 1 from the remaining digits, but do not include the last digit. i.e., 213–18 = 195.
Step 3: As 195 is not a multiple of 713, we repeat the process with 195. Multiply the last digit by 2, i.e., 5 × 2 = 10, and subtract from the remaining digits: 19–10 = 9.
Step 4: Since 9 is not a multiple of 713, the original number 2139 is not divisible by 713.
Tips and Tricks for Divisibility Rule of 713
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 713.
Know the multiples of 713:
Memorize the multiples of 713 (713, 1426, 2139, etc.) to quickly check divisibility. If the result from subtraction is a multiple of 713, then the number is divisible by 713.
Use the negative numbers:
If the result we get after the subtraction is negative, we will ignore 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 713. For example: Check if 4278 is divisible by 713 using the divisibility test. Multiply the last digit by 2, i.e., 8 × 2 = 16. Subtract the remaining digits excluding the last digit by 16, 427–16 = 411. Since 411 is a large number, repeat the process. Multiply the last digit by 2, i.e., 1 × 2 = 2. Subtract from remaining numbers: 41–2 = 39. As 39 is not a multiple of 713, 4278 is not divisible by 713
Use the division method to verify:
Students can use the division method 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 713
The divisibility rule of 713 helps us quickly check if a given number is divisible by 713, but common mistakes like calculation errors can 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, then subtracting the result from the remaining digits (excluding the last digit), and checking if it is a multiple of 713.
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 getting a large result. The process should be repeated until we get the smallest number that is divisible by 713.
Mistake 4
Not considering negative values.
Students may ignore negative values thinking divisibility rules don't apply. Divisibility rules are applicable for negative values too, so students should consider negative values as positive while checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse or forget the steps. To avoid errors, students should practice regularly.
Divisibility Rule of 713 Examples
Problem 1
Is 1426 divisible by 713?
Yes, 1426 is divisible by 713.
Explanation
To check the divisibility of 1426 by 713:
1) Divide 1426 by 713: 1426 ÷ 713 = 2.
2) Since the result is an integer, 1426 is divisible by 713.
Problem 2
Check the divisibility rule of 713 for 2139.
Yes, 2139 is divisible by 713.
Explanation
To check the divisibility of 2139 by 713:
1) Divide 2139 by 713: 2139 ÷ 713 = 3.
2) Since the result is an integer, 2139 is divisible by 713.
Problem 3
Is -2848 divisible by 713?
Yes, -2848 is divisible by 713.
Explanation
To check if -2848 is divisible by 713:
1) Remove the negative sign and divide 2848 by 713: 2848 ÷ 713 = 4.
2) Since the result is an integer, -2848 is divisible by 713.
Problem 4
Can 1800 be divisible by 713 following the divisibility rule?
No, 1800 isn't divisible by 713.
Explanation
To check if 1800 is divisible by 713:
1) Divide 1800 by 713: 1800 ÷ 713 ≈ 2.524.
2) Since the result is not an integer, 1800 is not divisible by 713.
Problem 5
Check the divisibility rule of 713 for 3565.
Yes, 3565 is divisible by 713.
Explanation
To check the divisibility of 3565 by 713:
1) Divide 3565 by 713: 3565 ÷ 713 = 5.
2) Since the result is an integer, 3565 is divisible by 713.
FAQs on Divisibility Rule of 713
1.What is the divisibility rule for 713?
2.How many numbers are there between 1 and 3000 that are divisible by 713?
3.Is 1426 divisible by 713?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 713 apply to all integers?
6.How can children in Saudi Arabia use numbers in everyday life to understand Divisibility Rule of 713?
7.What are some fun ways kids in Saudi Arabia can practice Divisibility Rule of 713 with numbers?
8.What role do numbers and Divisibility Rule of 713 play in helping children in Saudi Arabia develop problem-solving skills?
9.How can families in Saudi Arabia create number-rich environments to improve Divisibility Rule of 713 skills?
Important Glossaries for Divisibility Rule of 713
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number without division.
- Multiples: Multiples are the results obtained by multiplying a number by an integer. For example, multiples of 713 are 713, 1426, 2139, etc.
- Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is the process of finding the difference between two numbers by reducing one number from another.
- Verification: The process of confirming the accuracy of results, often by using an alternative method such as direct division to verify divisibility.
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About BrightChamps in Saudi Arabia
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.
