199 LearnersLast updated on May 26th, 2025
The Divisibility Rule of 472
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 472.
What is the Divisibility Rule of 472?
The divisibility rule for 472 is a method by which we can find out if a number is divisible by 472 or not without using the division method. Check whether 944 is divisible by 472 with the divisibility rule.
Step 1: Divide the number into three parts from the right in groups of three, starting from the units place. Here in 944, since it is not three digits long, consider it as 000944.
Step 2: Check if the number 944 is divisible by 472. Since it is, 944 is divisible by 472.
Tips and Tricks for Divisibility Rule of 472
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 472.
- Know the multiples of 472: Memorize the multiples of 472 (472, 944, 1416, 1888, etc.) to quickly check divisibility. If the number in question is a multiple of 472, then it is divisible by 472.
- Use subtraction for large numbers: Break down large numbers into smaller parts. For example, if the number is 1416, you can verify by subtracting 944 (a multiple of 472), which leaves 472. Since 472 is a multiple, 1416 is divisible by 472.
- 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 472
The divisibility rule of 472 helps us quickly check if the given number is divisible by 472, 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 knowing the multiples of 472.
Students should memorize or have a list of the multiples of 472 to help check divisibility quickly.
Mistake 2
Incorrectly grouping the digits.
Always ensure to group the digits correctly from the right in groups of three.
Mistake 3
Not verifying large numbers with subtraction.
Break down large numbers into smaller parts that are easier to verify with known multiples of 472.
Mistake 4
Ignoring simple verification with division.
Always use the division method as a final check to confirm the divisibility.
Mistake 5
Confusing steps or forgetting them.
Practice regularly and follow the steps methodically to avoid errors.
Divisibility Rule of 472 Examples
Problem 1
Is 1888 divisible by 472?
Yes, 1888 is divisible by 472.
Explanation
To determine if 1888 is divisible by 472, follow these steps:
1) Split the number into groups of three digits from the right. Here, we have 1 and 888.
2) Multiply the first group (1) by 0, the second by 1, and so on. This yields 0 for the first group.
3) Add the result to the remaining groups. So, 0 + 888 = 888.
4) Check if 888 is divisible by 472. Yes, it is (472 x 2 = 944, so 472 x 1 = 472, and 888 - 472 = 416, which is valid because we go one step below).
Problem 2
Check the divisibility rule of 472 for 1416.
No, 1416 is not divisible by 472.
Explanation
To check divisibility:
1) Split the number into groups of three digits: 1 and 416.
2) Multiply the first group (1) by 0, giving 0.
3) Add this to the second group (416), resulting in 416.
4) Check if 416 is divisible by 472. No, it is not.
Problem 3
Is -944 divisible by 472?
Yes, -944 is divisible by 472.
Explanation
Ignore the negative sign and proceed with 944.
1) Split 944 into groups: 0 and 944.
2) Multiply 0 by 0, yielding 0.
3) Add this to the next group: 944.
4) Check if 944 is divisible by 472. Yes, it is (472 x 2 = 944).
Problem 4
Can 236 be divisible by 472 following the divisibility rule?
No, 236 is not divisible by 472.
Explanation
1) Since 236 is less than 472, it's clear it cannot be divisible. However, let's apply the rule anyway.
2) Treat 236 as 0 and 236.
3) Multiply 0 by 0, resulting in 0.
4) Add this to the next group: 236.
5) Check if 236 is divisible by 472. No, it is not.
Problem 5
Check the divisibility rule of 472 for 4720.
Yes, 4720 is divisible by 472.
Explanation
1) Split 4720 into groups: 4 and 720, and then add a 0 if needed.
2) Multiply the first group (4) by 0, yielding 0.
3) Add this to the next group: 720.
4) Check if 720 is divisible by 472. No, but we should use the correct method because 720 isn't directly divisible, but 4720 is clearly a multiple of 472 (472 x 10 = 4720).
FAQs on Divisibility Rule of 472
1.What is the divisibility rule for 472?
2.How many numbers are there between 1 and 2000 that are divisible by 472?
3.Is 1416 divisible by 472?
4.What if I get 0 after subtraction?
5.Does the divisibility rule of 472 apply to all integers?
6.How can children in United States use numbers in everyday life to understand The Divisibility Rule of 472?
7.What are some fun ways kids in United States can practice The Divisibility Rule of 472 with numbers?
8.What role do numbers and The Divisibility Rule of 472 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve The Divisibility Rule of 472 skills?
Important Glossaries for Divisibility Rule of 472
- 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 472 if it matches a known pattern or multiple.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 472 are 472, 944, 1416, 1888, 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.
- Verification: The process of confirming the validity of a result, often through division or other methods.
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About BrightChamps in United States
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.
