120 LearnersLast updated on May 26th, 2025
Divisibility Rule of 947
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 947.
What is the Divisibility Rule of 947?
The divisibility rule for 947 is a method by which we can find out if a number is divisible by 947 or not without using the division method. Check whether 9470 is divisible by 947 with the divisibility rule.
Step 1: Multiply the last digit of the number by 10, here in 9470, 0 is the last digit, multiply it by 10. 0 × 10 = 0.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 947–0 = 947.
Step 3: As it is shown that 947 is a multiple of 947, therefore, the number is divisible by 947. If the result from step 2 isn't a multiple of 947, then the number isn't divisible by 947.
Tips and Tricks for Divisibility Rule of 947
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 947.
Know the multiples of 947:
Memorize the multiples of 947 (947, 1894, 2841, 3788…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 947, then the number is divisible by 947.
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 947.
For example: Check if 28410 is divisible by 947 using the divisibility test. Multiply the last digit by 10, i.e., 0 × 10 = 0.
Subtract the remaining digits excluding the last digit by 0, 2841–0 = 2841. Still, 2841 is a large number, hence we will repeat the process again and multiply the last digit by 10, 1 × 10 = 10.
Now subtracting 10 from the remaining numbers excluding the last digit, 284–10 = 274. As 274 is not a multiple of 947, 28410 is not divisible by 947.
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 947
The divisibility rule of 947 helps us to quickly check if the given number is divisible by 947, 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 10 and then subtracting the result from the remaining digits excluding the last digit and checking whether it is a multiple of 947.
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 to result in after subtraction. The process should be repeated until we get the smallest number that is divisible by 947.
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 947 Examples
Problem 1
Is 2841 divisible by 947?
Yes, 2841 is divisible by 947.
Explanation
To check if 2841 is divisible by 947, we will divide 2841 by 947 and check if the result is an integer.
1) Divide 2841 by 947. 2841 ÷ 947 = 3.
2) Since the result is an integer, 2841 is divisible by 947.
Problem 2
Check the divisibility rule of 947 for 9470.
Yes, 9470 is divisible by 947.
Explanation
For checking the divisibility rule of 947 for 9470, we perform a division:
1) Divide 9470 by 947. 9470 ÷ 947 = 10.
2) Since the result is an integer, 9470 is divisible by 947.
Problem 3
Is -1894 divisible by 947?
Yes, -1894 is divisible by 947.
Explanation
To check if -1894 is divisible by 947, we ignore the negative sign and check the divisibility:
1) Divide 1894 by 947. 1894 ÷ 947 = 2.
2) Since the result is an integer, -1894 is divisible by 947.
Problem 4
Can 3000 be divisible by 947 following the divisibility rule?
No, 3000 isn't divisible by 947.
Explanation
To check if 3000 is divisible by 947, we perform a division:
1) Divide 3000 by 947. 3000 ÷ 947 ≈ 3.166.
2) Since the result is not an integer, 3000 is not divisible by 947.
Problem 5
Check the divisibility rule of 947 for 94700.
Yes, 94700 is divisible by 947.
Explanation
To check the divisibility rule of 947 for 94700, we perform a division:
1) Divide 94700 by 947. 94700 ÷ 947 = 100.
2) Since the result is an integer, 94700 is divisible by 947.
FAQs on Divisibility Rule of 947
1.What is the divisibility rule for 947?
2.How many numbers are there between 1 and 10000 that are divisible by 947?
3.Is 1894 divisible by 947?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 947 apply to all the integers?
6.How can children in United Kingdom use numbers in everyday life to understand Divisibility Rule of 947?
7.What are some fun ways kids in United Kingdom can practice Divisibility Rule of 947 with numbers?
8.What role do numbers and Divisibility Rule of 947 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Divisibility Rule of 947 skills?
Important Glossaries for Divisibility Rule of 947
- 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 947 if it follows the specific rule outlined.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 947 are 947, 1894, 2841, 3788, 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: Verification is the process of confirming the correctness of a calculation or method by using a different approach, such as the division method.
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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.
