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Last updated on February 12th, 2025

Divisibility Rule of 404

Q: What is the divisibility rule for 404?

The divisibility rule for 404 involves dividing a number first by 4 and then checking if the result is divisible by 101.

Q: How many numbers are there between 1 and 5000 that are divisible by 404?

There are 12 numbers that can be divided by 404 between 1 and 5000. The numbers are 404, 808, 1212, 1616, 2020, 2424, 2828, 3232, 3636, 4040, 4444, and 4848.

Q: Is 1212 divisible by 404?

Yes, because 1212 is a multiple of 404 (404 × 3 = 1212).

Q: What if I get 0 after dividing?

If you get 0 as a remainder after dividing, it means the number is divisible by 404.

Q: Does the divisibility rule of 404 apply to all integers?

Yes, the divisibility rule of 404 applies to all integers.

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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.

$divisibility rule of 404$

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

Divisibility Rule of 404 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

Is the number of pages in a book (1212) divisible by 404?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Problem 2

Check if the number of seats in a stadium (2020) is divisible by 404.

Explanation

Problem 3

Is the annual rainfall (3030 mm) in a region divisible by 404?

Explanation

Problem 4

Can the total number of participants (808) in a marathon be evenly divided by 404?

Explanation

Problem 5

Check if a shipment of goods containing 1616 items is divisible by 404.

Explanation

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?

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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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.