206 LearnersLast updated on May 26th, 2025
Divisibility Rule of 671
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 divisibility rules for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 671.
What is the Divisibility Rule of 671?
The divisibility rule for 671 is a method by which we can find out if a number is divisible by 671 or not without using the division method. Check whether 6710 is divisible by 671 with the divisibility rule.
Step 1: Multiply the last digit of the number by 7, here in 6710, 0 is the last digit, so multiply it by 7. 0 × 7 = 0.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 671–0 = 671.
Step 3: As it is shown that 671 is a multiple of 671, therefore, the number is divisible by 671. If the result from step 2 isn't a multiple of 671, then the number isn't divisible by 671.
Tips and Tricks for Divisibility Rule of 671
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 671.
- Know the multiples of 671: Memorize the multiples of 671 (671, 1342, 2013, 2684, 3355…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 671, then the number is divisible by 671.
- 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 671.
For example: Check if 13420 is divisible by 671 using the divisibility test.
Multiply the last digit by 7, i.e., 0 × 7 = 0.
Subtract the remaining digits excluding the last digit by 0, 1342–0 = 1342.
Still, 1342 is a large number, hence we will repeat the process again and multiply the last digit by 7, 2 × 7 = 14.
Now subtracting 14 from the remaining numbers excluding the last digit, 134–14 = 120.
Since 120 is not a multiple of 671, 13420 is not divisible by 671.
- 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 671
The divisibility rule of 671 helps us to quickly check if the given number is divisible by 671, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps by multiplying the last digit with 7 and then subtracting the result from the remaining digits excluding the last digit and checking whether it is a multiple of 671.
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 gotten a large number after subtraction. The process should be repeated until we get the smallest number that is divisible by 671.
Mistake 4
Not considering the negative values.
Students consider the negative values thinking divisibility rules don't apply to the negative values. But divisibility rules are 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 them; to avoid this error, students should practice regularly.
Divisibility Rule of 671 Examples
Problem 1
Is 2013 divisible by 671?
Yes, 2013 is divisible by 671.
Explanation
Using the divisibility rule for 671, we need to perform a specific check:
1) Triple the last digit of the number, 3 × 3 = 9.
2) Subtract the result from the remaining digits excluding the last digit, 201 – 9 = 192.
3) Check if the result is divisible by 671. Since 192 is not divisible by 671, 2013 is not divisible by 671. However, the initial statement was incorrect, so the answer should be No.
Problem 2
Check the divisibility of 1342 by 671.
No, 1342 is not divisible by 671.
Explanation
Verify using the divisibility rule for 671:
1) Triple the last digit of the number, 2 × 3 = 6.
2) Subtract the result from the remaining digits excluding the last digit, 134 – 6 = 128.
3) Check if 128 is divisible by 671. It is not, so 1342 is not divisible by 671.
Problem 3
Is 3355 divisible by 671?
No, 3355 is not divisible by 671.
Explanation
To determine divisibility by 671, follow these steps:
1) Triple the last digit of the number, 5 × 3 = 15.
2) Subtract the result from the remaining digits excluding the last digit, 335 – 15 = 320.
3) Check if 320 is divisible by 671. It is not, so 3355 is not divisible by 671.
Problem 4
Can 6710 be divisible by 671 following the divisibility rule?
Yes, 6710 is divisible by 671.
Explanation
To verify divisibility by 671, follow these steps:
1) Triple the last digit of the number, 0 × 3 = 0.
2) Subtract the result from the remaining digits excluding the last digit, 671 – 0 = 671.
3) Check if 671 is divisible by 671. Yes, it is (671 × 1 = 671).
Problem 5
Check the divisibility rule of 671 for 1342.
No, 1342 is not divisible by 671.
Explanation
To apply the divisibility rule for 671:
1) Triple the last digit of the number, 2 × 3 = 6.
2) Subtract the result from the remaining digits excluding the last digit, 134 – 6 = 128.
3) Check if 128 is divisible by 671. It is not, so 1342 is not divisible by 671.
FAQs on Divisibility Rule of 671
1.What is the divisibility rule for 671?
2.How many numbers are there between 1 and 10000 that are divisible by 671?
3.Is 3355 divisible by 671?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 671 apply to all integers?
6.How can children in Philippines use numbers in everyday life to understand Divisibility Rule of 671?
7.What are some fun ways kids in Philippines can practice Divisibility Rule of 671 with numbers?
8.What role do numbers and Divisibility Rule of 671 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Divisibility Rule of 671 skills?
Important Glossaries for Divisibility Rule of 671
- 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 2 if the number ends with even numbers.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 671 are 671, 1342, 2013, 2684, 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 confirming that a calculation or result is accurate, such as using division to check the divisibility result.
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About BrightChamps in Philippines
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.
