252 LearnersLast updated on May 26th, 2025
Divisibility Rule of 404
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 404.
What is the Divisibility Rule of 404?
The divisibility rule for 404 is a method by which we can find out if a number is divisible by 404 or not without using the division method. Check whether 80808 is divisible by 404 with the divisibility rule.
Step 1: Divide the number by 4, the result must be a whole number. In 80808, check if 80808 is divisible by 4. 80808 ÷ 4 = 20202.
Step 2: Now, check if the result from Step 1 is divisible by 101. 20202 ÷ 101 = 200.
Step 3: Since the result from Step 2 is a whole number, 80808 is divisible by 404.
Tips and Tricks for Divisibility Rule of 404
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 404.
Know the multiples of 404:
Memorize the multiples of 404 (404, 808, 1212, 1616, etc.) to quickly check divisibility. If the final result is a whole number, then the original number is divisible by 404.
Use smaller divisors:
Break down 404 into smaller factors like 4 and 101 to simplify the process.
Repeat the process for large numbers:
Students should keep repeating the divisibility process until they reach a small number that is divisible by 404. For example, check if 161616 is divisible by 404 using the divisibility test. Divide by 4: 161616 ÷ 4 = 40404. Then, divide 40404 by 101: 40404 ÷ 101 = 400. Since 400 is a whole number, 161616 is divisible by 404.
Use the division method to verify:
Students 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 404
The divisibility rule of 404 helps us to quickly check if the given number is divisible by 404, 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 of dividing by 4 and then checking divisibility by 101.
Mistake 2
Including non-factors in the process.
Students should focus on the relevant factors of 404, which are 4 and 101.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have a large number. The process should be repeated until we get a number that is easily divisible by 404.
Mistake 4
Confusing the steps.
Students often confuse the steps or forget them. To avoid the error, students should practice regularly.
Divisibility Rule of 404 Examples
Problem 1
Is the number of pages in a book (1212) divisible by 404?
Yes, 1212 is divisible by 404.
Explanation
To determine if 1212 is divisible by 404, follow these steps:
1) Divide the number by 404 directly.
2) 1212 ÷ 404 = 3.
3) Since the result is a whole number, 1212 is divisible by 404.
Problem 2
Check if the number of seats in a stadium (2020) is divisible by 404.
No, 2020 is not divisible by 404.
Explanation
To check if 2020 is divisible by 404:
1) Divide the number by 404 directly.
2) 2020 ÷ 404 = 5.
3) The result is not a whole number, indicating that 2020 is not divisible by 404.
Problem 3
Is the annual rainfall (3030 mm) in a region divisible by 404?
No, 3030 is not divisible by 404.
Explanation
To verify if 3030 is divisible by 404:
1) Divide the number by 404 directly.
2) 3030 ÷ 404 ≈ 7.5.
3) The result is not a whole number, so 3030 is not divisible by 404.
Problem 4
Can the total number of participants (808) in a marathon be evenly divided by 404?
Yes, 808 is divisible by 404.
Explanation
To confirm if 808 is divisible by 404:
1) Divide the number by 404 directly.
2) 808 ÷ 404 = 2.
3) The result is a whole number, thus 808 is divisible by 404.
Problem 5
Check if a shipment of goods containing 1616 items is divisible by 404.
Yes, 1616 is divisible by 404.
Explanation
To check if 1616 is divisible by 404:
1) Divide the number by 404 directly.
2) 1616 ÷ 404 = 4.
3) Since the result is a whole number, 1616 is divisible by 404.
FAQs on Divisibility Rule of 404
1. What is the divisibility rule for 404?
2.How many numbers are there between 1 and 5000 that are divisible by 404?
3.Is 1212 divisible by 404?
4.What if I get 0 after dividing?
5.Does the divisibility rule of 404 apply to all integers?
6.How can children in Qatar use numbers in everyday life to understand Divisibility Rule of 404?
7.What are some fun ways kids in Qatar can practice Divisibility Rule of 404 with numbers?
8.What role do numbers and Divisibility Rule of 404 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Divisibility Rule of 404 skills?
Important Glossaries for Divisibility Rule of 404
- Divisibility rule: A set of rules used to determine if a number is divisible by another number without direct division.
- Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 404 are 404, 808, 1212, etc.
- Whole number: A number without fractions; an integer.
- Factor: A whole number that divides another number completely without leaving a remainder.
- Integer: A number that includes all the whole numbers, negative numbers, and zero.
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About BrightChamps in Qatar
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.
