209 LearnersLast updated on May 26th, 2025
Divisibility Rule of 904
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.
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.
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.
Common Mistakes and How to Avoid Them in Divisibility Rule of 904
The divisibility rule of 904 helps us to quickly check if the given number is divisible by 904, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes to help you avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps that involve checking divisibility by both 8 and 113.
Mistake 2
Forgetting to check all prime factors.
Ensure you check divisibility by both the smaller and larger factors (8 and 113) to confirm divisibility by 904.
Mistake 3
Stopping after checking only one divisor.
Remember that both divisors must confirm divisibility for the entire number 904.
Mistake 4
Errors in calculating divisibility by 8 or 113.
Double-check calculations when determining divisibility by each factor.
Mistake 5
Confusing the steps.
Practice regularly to remember the steps and avoid errors.
Divisibility Rule of 904 Examples
Problem 1
Is 2712 divisible by 904?
Yes, 2712 is divisible by 904.
Explanation
To check if 2712 is divisible by 904, consider the process:
1) Divide the number 2712 by 904 to check for exact division.
2) The quotient is 3 and the remainder is 0, so 2712 is divisible by 904.
Problem 2
Check the divisibility rule of 904 for 1808.
Yes, 1808 is divisible by 904
Explanation
For checking divisibility by 904:
1) Divide 1808 by 904.
2) The quotient is 2 and the remainder is 0, indicating that 1808 is divisible by 904.
Problem 3
Is 3624 divisible by 904?
Yes, 3624 is divisible by 904.
Explanation
To check divisibility:
1) Divide 3624 by 904.
2) The quotient is 4 and the remainder is 0, confirming divisibility.
Problem 4
Can 4520 be divisible by 904?
No, 4520 is not divisible by 904.
Explanation
To determine divisibility:
1) Divide 4520 by 904.
2) The quotient is approximately 5 and the remainder is 600, showing that 4520 is not divisible by 904.
Problem 5
Check the divisibility rule of 904 for 905.
No, 905 is not divisible by 904.
Explanation
For divisibility check:
1) Divide 905 by 904.
2) The quotient is approximately 1 and the remainder is 1, so 905 is not divisible by 904.
FAQs on Divisibility Rule of 904
1.What is the divisibility rule for 904?
2.Is 4520 divisible by 904?
3.What if I get 0 after subtracting parts for divisibility checks?
4.Does the divisibility rule of 904 apply to all integers?
5.How can children in United States use numbers in everyday life to understand Divisibility Rule of 904?
6.What are some fun ways kids in United States can practice Divisibility Rule of 904 with numbers?
7.What role do numbers and Divisibility Rule of 904 play in helping children in United States develop problem-solving skills?
8.How can families in United States create number-rich environments to improve Divisibility Rule of 904 skills?
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.
Explore More numbers
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.
