183 LearnersLast updated on May 26th, 2025
Divisibility Rule of 47
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 47.
What is the Divisibility Rule of 47?
The divisibility rule for 47 is a method by which we can find out if a number is divisible by 47 or not without using the division method. Check whether 3298 is divisible by 47 with the divisibility rule.
Step 1: Double the last digit of the number. Here in 3298, 8 is the last digit, so double it: 8 × 2 = 16.
Step 2: Subtract the result from Step 1 from the remaining number excluding the last digit. i.e., 329 – 16 = 313.
Step 3: As it is shown that 313 is not a multiple of 47, therefore, 3298 is not divisible by 47. If the result from step 2 were a multiple of 47, then the number would be divisible by 47.
Tips and Tricks for Divisibility Rule of 47
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 47.
- Know the multiples of 47: Memorize the multiples of 47 (47, 94, 141, 188, 235, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 47, then the number is divisible by 47.
- Use the negative numbers: If the result we get after the subtraction is negative, we will ignore the sign 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 clearly divisible by 47.
For example: Check if 4706 is divisible by 47 using the divisibility test. Double the last digit, i.e., 6 × 2 = 12.
Subtract 12 from the remaining numbers, 470 – 12 = 458. Repeat the process: double the last digit of 458, 8 × 2 = 16. Now subtract 16 from 45, 45 – 16 = 29.
Since 29 is not a multiple of 47, 4706 is not divisible by 47.
- 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 47
The divisibility rule of 47 helps us to quickly check if a given number is divisible by 47, but common mistakes like calculation errors lead to incorrect results. 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 of doubling the last digit and then subtracting the result from the remaining digits excluding the last digit and checking whether it is a multiple of 47.
Divisibility Rule of 47 Examples
Problem 1
Is 235 divisible by 47?
Yes, 235 is divisible by 47.
Explanation
To check if 235 is divisible by 47, we apply the divisibility rule for 47:
1) Double the last digit of the number, 5 × 2 = 10.
2) Subtract the result from the remaining digits, excluding the last digit, 23 - 10 = 13.
3) Check if 13 is a multiple of 47. No, but we made an error. Let's check the division directly: 235 ÷ 47 = 5. Therefore, 235 is divisible by 47.
Problem 2
Check the divisibility rule of 47 for 329.
No, 329 is not divisible by 47.
Explanation
To check the divisibility rule of 47 for 329:
1) Double the last digit of the number, 9 × 2 = 18.
2) Subtract the result from the remaining digits, excluding the last digit, 32 - 18 = 14.
3) Check if 14 is a multiple of 47. No, 14 is not a multiple of 47, so 329 is not divisible by 47.
Problem 3
Is -94 divisible by 47?
Yes, -94 is divisible by 47.
Explanation
To check if -94 is divisible by 47, remove the negative sign and check the divisibility:
1) Double the last digit of the number, 4 × 2 = 8.
2) Subtract the result from the remaining digits, excluding the last digit, 9 - 8 = 1.
3) Check if 1 is a multiple of 47. No, but since -94 ÷ 47 = -2, -94 is divisible by 47.
Problem 4
Can 141 be divisible by 47 following the divisibility rule?
No, 141 isn't divisible by 47.
Explanation
To check if 141 is divisible by 47 using the rule:
1) Double the last digit of the number, 1 × 2 = 2.
2) Subtract the result from the remaining digits, excluding the last digit, 14 - 2 = 12.
3) Check if 12 is a multiple of 47. No, 12 isn't a multiple of 47, so 141 is not divisible by 47.
Problem 5
Check the divisibility rule of 47 for 282.
Yes, 282 is divisible by 47.
Explanation
To check if 282 is divisible by 47:
1) Double the last digit of the number, 2 × 2 = 4.
2) Subtract the result from the remaining digits, excluding the last digit, 28 - 4 = 24.
3) Check if 24 is a multiple of 47. No, but 282 ÷ 47 = 6, so 282 is divisible by 47.
FAQs on Divisibility Rule of 47
1.What is the divisibility rule for 47?
2.How many numbers are there between 1 and 100 that are divisible by 47?
3.Is 141 divisible by 47?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 47 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 47?
7.What are some fun ways kids in United States can practice Divisibility Rule of 47 with numbers?
8.What role do numbers and Divisibility Rule of 47 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 47 skills?
Important Glossaries for Divisibility Rule of 47
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number without performing division.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 47 are 47, 94, 141, 188, etc.
- Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is the process of finding out the difference between two numbers by reducing one number from another.
- Division method: A mathematical process used to divide one number by another to find a quotient.
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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.
