209 LearnersLast updated on May 26th, 2025
Divisibility Rule of 477
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 477.
What is the Divisibility Rule of 477?
The divisibility rule for 477 is a method by which we can find out if a number is divisible by 477 or not without using the division method.
Check whether 954 is divisible by 477 with the divisibility rule.
Step 1: Multiply the last digit of the number by 3. Here in 954, 4 is the last digit, so multiply it by 3. 4 × 3 = 12.
Step 2: Subtract the result from Step 1 from the remaining values, but do not include the last digit. i.e., 95 - 12 = 83.
Step 3: Repeat the process: Multiply the last digit of 83 by 3, which gives 3 × 3 = 9. Subtract it from the remaining number, 8 - 9 = -1.
Since -1 is not a multiple of 477, 954 is not divisible by 477.
Tips and Tricks for Divisibility Rule of 477
Learning the divisibility rule can help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 477.
- Know the multiples of 477: Memorize the multiples of 477 (477, 954, 1431, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 477, then the number is divisible by 477.
- 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 477.
For example, check if 2862 is divisible by 477 using the divisibility test.
Multiply the last digit by 3, i.e., 2 × 3 = 6.
Subtract from the remaining digits excluding the last digit, 286 - 6 = 280.
- Repeat the process: Multiply the last digit of 280 by 3, which is 0 × 3 = 0. Subtract from the remaining number, 28 - 0 = 28.
As 28 is not a multiple of 477, 2862 is not divisible by 477.
- 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 477
The divisibility rule of 477 helps us to quickly check if the given number is divisible by 477, but common mistakes like calculation errors lead to incorrect results. 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 by 3 and then subtracting the result from the remaining digits excluding the last digit and checking whether it is a multiple of 477.
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 a large number as a result after subtraction. The process should be repeated until we get the smallest number that is divisible by 477.
Mistake 4
Not considering the negative values.
Students consider the negative values thinking divisibility rules don't apply to 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 477 Examples
Problem 1
Is 954 divisible by 477?
Yes, 954 is divisible by 477.
Explanation
To check if 954 is divisible by 477, we can use a simplified method since 477 is a factor of 954. Divide 954 by 477, and if the result is an integer, the number is divisible.
1) 954 ÷ 477 = 2.
Since the result is an integer, 954 is divisible by 477.
Problem 2
Check the divisibility rule of 477 for 1431.
Yes, 1431 is divisible by 477.
Explanation
We check the divisibility using division:
1) Divide 1431 by 477.
2) 1431 ÷ 477 = 3.
Since the result is an integer, 1431 is divisible by 477.
Problem 3
Is 4770 divisible by 477?
Yes, 4770 is divisible by 477.
Explanation
To determine if 4770 is divisible by 477:
1) Divide 4770 by 477.
2) 4770 ÷ 477 = 10.
Since the result is an integer, 4770 is divisible by 477.
Problem 4
Can 2500 be divisible by 477 following the divisibility rule?
No, 2500 isn't divisible by 477.
Explanation
Check the divisibility by dividing:
1) Divide 2500 by 477.
2) 2500 ÷ 477 ≈ 5.24.
Since the result is not an integer, 2500 is not divisible by 477.
Problem 5
Check the divisibility rule of 477 for 47700.
Yes, 47700 is divisible by 477.
Explanation
Use division to confirm divisibility:
1) Divide 47700 by 477.
2) 47700 ÷ 477 = 100.
Since the result is an integer, 47700 is divisible by 477.
FAQs on Divisibility Rule of 477
1.What is the divisibility rule for 477?
2.How many numbers are there between 1 and 5000 that are divisible by 477?
3.Is 954 divisible by 477?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 477 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 477?
7.What are some fun ways kids in United States can practice Divisibility Rule of 477 with numbers?
8.What role do numbers and Divisibility Rule of 477 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 477 skills?
Important Glossaries for Divisibility Rule of 477
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number or not.
- Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 477 are 477, 954, 1431, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: The process of finding the difference between two numbers by reducing one number from another.
- Verify: To confirm or check the accuracy of a calculation or result.
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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.
