195 LearnersLast updated on May 26th, 2025
Divisibility Rule of 347
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 347.
What is the Divisibility Rule of 347?
The divisibility rule for 347 is a method by which we can find out if a number is divisible by 347 or not without using the division method. Check whether 1041 is divisible by 347 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2, here in 1041, 1 is the last digit, multiply it by 2. 1 × 2 = 2
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 104 – 2 = 102.
Step 3: Since 102 is not a multiple of 347, the number is not divisible by 347. If the result from step 2 were a multiple of 347, the number would be divisible by 347.
Tips and Tricks for Divisibility Rule of 347
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 347.
Know the multiples of 347:
Memorize the multiples of 347 (347, 694, 1041, 1388, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 347, then the number is divisible by 347.
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 347. For example: Check if 6940 is divisible by 347 using the divisibility test. Multiply the last digit by 2, i.e., 0 × 2 = 0. Subtract the remaining digits excluding the last digit by 0, 694 – 0 = 694. Since 694 is a multiple of 347, 6940 is divisible by 347.
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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 347
The divisibility rule of 347 helps us to quickly check if the given number is divisible by 347, 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, which are multiplying the last digit with 2 and then subtracting the result from the remaining digits excluding the last digit, and checking whether it is a multiple of 347.
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 as a result after subtraction. The process should be repeated until we get the smallest number that is divisible by 347.
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.
Divisibility Rule of 347 Examples
Problem 1
Is 1041 divisible by 347?
Yes, 1041 is divisible by 347.
Explanation
To check if 1041 is divisible by 347, we can follow the divisibility rule:
1) Multiply the last digit of the number by 2, 1 × 2 = 2.
2) Subtract the result from the remaining digits excluding the last digit, 104 - 2 = 102.
3) 102 is not zero, so we repeat the process with 102:
2 × 2 = 4, 10 - 4 = 6.
4) Finally, check if 6 is zero or a multiple of 347. Since 6 is not zero, 1041 is not divisible by 347.
Problem 2
Check the divisibility rule of 347 for 2082.
Yes, 2082 is divisible by 347.
Explanation
To check the divisibility rule of 347 for 2082, follow these steps:
1) Multiply the last digit by 2, 2 × 2 = 4.
2) Subtract the result from the remaining digits, 208 - 4 = 204.
3) Since 204 is not zero, repeat the process:
4 × 2 = 8, 20 - 8 = 12.
4) Repeat again:
2 × 2 = 4, 1 - 4 = -3.
5) Since -3 is not zero, 2082 is not divisible by 347.
Problem 3
Is 694 divisible by 347?
Yes, 694 is divisible by 347.
Explanation
To determine if 694 is divisible by 347:
1) Multiply the last digit by 2, 4 × 2 = 8.
2) Subtract the result from the remaining digits, 69 - 8 = 61.
3) Since 61 is not zero, repeat the process:
1 × 2 = 2, 6 - 2 = 4.
4) Since 4 is not zero and not a multiple of 347, 694 is not divisible by 347.
Problem 4
Can 1735 be divisible by 347 following the divisibility rule?
No, 1735 is not divisible by 347.
Explanation
Follow the divisibility rule for 1735:
1) Multiply the last digit by 2, 5 × 2 = 10.
2) Subtract the result from the remaining digits, 173 - 10 = 163.
3) Since 163 is not zero, repeat the process:
3 × 2 = 6, 16 - 6 = 10.
4) Since 10 is not zero, 1735 is not divisible by 347.
Problem 5
Check the divisibility rule of 347 for 3470.
Yes, 3470 is divisible by 347.
Explanation
To check the divisibility rule for 3470:
1) Multiply the last digit by 2, 0 × 2 = 0.
2) Subtract the result from the remaining digits, 347 - 0 = 347.
3) Since 347 is a multiple of 347 (347 × 1 = 347), 3470 is divisible by 347.
FAQs on Divisibility Rule of 347
1.What is the divisibility rule for 347?
2.How many numbers are there between 1 and 2000 that are divisible by 347?
3.Is 1041 divisible by 347?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 347 apply to all the integers?
6.How can children in India use numbers in everyday life to understand Divisibility Rule of 347?
7.What are some fun ways kids in India can practice Divisibility Rule of 347 with numbers?
8.What role do numbers and Divisibility Rule of 347 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 347 skills?
Important Glossaries for Divisibility Rule of 347
- 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 347 if the result after applying the rule is a multiple of 347.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example: multiples of 347 are 347, 694, 1041, 1388, etc.
- Integers: Integers are the 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: Using the division method or another method to ensure the correctness of the divisibility test results.
Explore More numbers
About BrightChamps in India
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.
