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Last updated on February 26th, 2025

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Divisibility Rule of 904

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Foundation
Intermediate
Advance Topics

The divisibility rule is a way to determine 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 904.

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What is the Divisibility Rule of 904?

The divisibility rule for 904 is a method by which we can find out if a number is divisible by 904 or not without using the division method. Check whether 3616 is divisible by 904 with the divisibility rule.

Step 1: Break down 904 into its prime factors: 904 = 2 × 2 × 2 × 113.

Step 2: Check if the number is divisible by each of these factors: 
- Check divisibility by 8 (2 × 2 × 2 = 8): The last three digits of 3616 are 616. If 616 is divisible by 8, proceed. 616 ÷ 8 = 77, which is an integer.
- Check divisibility by 113: Divide 3616 by 113. If the result is an integer, the number is divisible by 113. 3616 ÷ 113 = 32, which is an integer.

Step 3: Since 3616 is divisible by both 8 and 113, it is divisible by 904.

divisibility rule of 904
 

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Tips and Tricks for Divisibility Rule of 904

Understanding the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 904.

Know the prime factors of 904:

Memorize the prime factors (2, 113) to quickly check divisibility. If a number is divisible by both 8 and 113, it is divisible by 904.

Use smaller factors first:

Start with smaller factors like 8 to quickly determine divisibility before checking divisibility by 113.

Repeat the process for large numbers:

Students should keep repeating the divisibility process until they reach divisibility conclusions for both 8 and 113. For example, check if 1808 is divisible by 904:
- Check divisibility by 8: The last three digits are 808. 808 ÷ 8 = 101, which is an integer.
- Check divisibility by 113: 1808 ÷ 113 = 16, which is an integer.
Since both conditions are met, 1808 is divisible by 904.

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.
 

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Common Mistakes and How to Avoid Them in Divisibility Rule of 904

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Divisibility Rule of 904 Examples

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Problem 1

Is 2712 divisible by 904?

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Explanation

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Problem 2

Check the divisibility rule of 904 for 1808.

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Explanation

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Problem 3

Is 3624 divisible by 904?

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Explanation

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Problem 4

Can 4520 be divisible by 904?

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Explanation

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Problem 5

Check the divisibility rule of 904 for 905.

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Explanation

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FAQs on Divisibility Rule of 904

1.What is the divisibility rule for 904?

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2.Is 4520 divisible by 904?

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3.What if I get 0 after subtracting parts for divisibility checks?

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4.Does the divisibility rule of 904 apply to all integers?

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Important Glossaries for Divisibility Rule of 904

  • Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.

 

  • Prime factors: The prime numbers that m
  • ultiply together to form a number. For example, the prime factors of 904 are 2 and 113.

 

  • Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 904 are 904, 1808, 2712, etc.

 

  • Integers: Integers are numbers that include all the whole numbers, negative numbers, and zero.

 

  • Division: Division is a process of finding out how many times one number is contained within another.
     
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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.

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Fun Fact

: She loves to read number jokes and games.

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