186 LearnersLast updated on May 26th, 2025
Divisibility Rule of 473
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 473.
What is the Divisibility Rule of 473?
The divisibility rule for 473 is a method by which we can determine if a number is divisible by 473 without using the division method. Check whether 946 is divisible by 473 with the divisibility rule.
Step 1: Multiply the last digit of the number by 4, here in 946, 6 is the last digit, so multiply it by 4. 6 × 4 = 24.
Step 2: Add the result from Step 1 to the remaining values but do not include the last digit. i.e., 94 + 24 = 118.
Step 3: As it is shown that 118 is not a multiple of 473, therefore, the number is not divisible by 473. If the result from step 2 is a multiple of 473, then the number is divisible by 473.
Tips and Tricks for Divisibility Rule of 473
Learning the divisibility rule will help individuals master division. Let’s learn a few tips and tricks for the divisibility rule of 473.
- Know the multiples of 473: Memorize the multiples of 473 (473, 946, 1419, 1892, etc.) to quickly check divisibility. If the result from the addition is a multiple of 473, then the number is divisible by 473.
- Use the negative numbers: If the result we get after the addition is negative, we will avoid the symbol and consider it as positive when checking the divisibility of a number.
- Repeat the process for large numbers: Individuals should keep repeating the divisibility process until they reach a small number that is divisible by 473.
For example: Check if 1892 is divisible by 473 using the divisibility test.
Multiply the last digit by 4, i.e., 2 × 4 = 8.
Add the remaining digits excluding the last digit to 8, 189 + 8 = 197.
Still, 197 is not a multiple of 473, hence 1892 is not divisible by 473.
- Use the division method to verify: Individuals 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 473
The divisibility rule of 473 helps us to quickly check if the given number is divisible by 473, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes that will help you avoid them.
Mistake 1
Not following the correct steps.
Individuals should follow the correct steps: multiply the last digit with 4 and then add the result to the remaining digits excluding the last digit and check whether it is a multiple of 473.
Divisibility Rule of 473 Examples
Problem 1
Is 1419 divisible by 473?
Yes, 1419 is divisible by 473.
Explanation
To check if 1419 is divisible by 473, we can follow this unique approach:
1) Consider the digits of the number: 1419.
2) Calculate the sum of the digits: 1 + 4 + 1 + 9 = 15.
3) Multiply the sum of digits by 473: 15 × 473 = 7095.
4) Check if 7095 is divisible by the original number, 1419. Yes, 7095 ÷ 1419 = 5, indicating 1419 is divisible by 473.
Problem 2
Check the divisibility rule of 473 for 946.
No, 946 is not divisible by 473.
Explanation
To verify the divisibility of 946 by 473:
1) Consider the digits of the number: 946.
2) Calculate the alternating sum of digits: 9 - 4 + 6 = 11.
3) Multiply the alternating sum by 473: 11 × 473 = 5203.
4) Check if 5203 is divisible by the original number, 946. No, 5203 ÷ 946 is not an integer, so 946 is not divisible by 473.
Problem 3
Is 2365 divisible by 473?
No, 2365 is not divisible by 473.
Explanation
To determine if 2365 is divisible by 473:
1) Consider the digits of the number: 2365.
2) Calculate the difference between the sum of digits in odd positions and even positions: (2 + 6) - (3 + 5) = 8 - 8 = 0.
3) Multiply the result by 473: 0 × 473 = 0.
4) Since the resulting number, 0, is not equal to the original number, 2365 is not divisible by 473.
Problem 4
Can -1892 be divisible by 473 following the divisibility rule?
No, -1892 is not divisible by 473.
Explanation
To check if -1892 is divisible by 473:
1) Remove the negative sign and consider the number 1892.
2) Calculate the alternating sum of digits: 1 - 8 + 9 - 2 = 0.
3) Multiply the alternating sum by 473: 0 × 473 = 0.
4) Since the result, 0, is not equal to 1892, -1892 is not divisible by 473.
Problem 5
Check the divisibility rule of 473 for 4730.
Yes, 4730 is divisible by 473.
Explanation
To verify the divisibility of 4730 by 473:
1) Consider the digits of the number: 4730.
2) Calculate the sum of the digits: 4 + 7 + 3 + 0 = 14.
3) Multiply the sum by 473: 14 × 473 = 6622.
4) Check if 6622 is divisible by the original number, 4730. Yes, 6622 ÷ 4730 is approximately 1.4, indicating a direct relationship, thus confirming divisibility by 473.
FAQs on Divisibility Rule of 473
1.What is the divisibility rule for 473?
2. How many numbers are there between 1 and 2000 that are divisible by 473?
3.Is 946 divisible by 473?
4.What if I get 0 after adding?
5.Does the divisibility rule of 473 apply to all the integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 473?
7.What are some fun ways kids in United States can practice Divisibility Rule of 473 with numbers?
8.What role do numbers and Divisibility Rule of 473 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 473 skills?
Important Glossaries for Divisibility Rule of 473
- Divisibility Rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 473 are 473, 946, 1419, 1892, and so on.
- Integers: Integers are numbers that include all the whole numbers, negative numbers, and zero.
- Addition: Addition is a process of finding the total or sum by combining two or more numbers.
- Verification: The process of confirming the accuracy of a result, such as using the division method to confirm divisibility.
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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
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