110 LearnersLast updated on May 26th, 2025
Divisibility Rule of 604
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 use divisibility rules for quick math, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 604.
What is the Divisibility Rule of 604?
The divisibility rule for 604 is a method by which we can find out if a number is divisible by 604 without using the division method. Let's check whether 1208 is divisible by 604 using the divisibility rule.
Step 1: Check if the number is even. Since 1208 ends in 8, it is even.
Step 2: Divide the number by 2. 1208 ÷ 2 = 604.
Step 3: Since the result is exactly 604, the original number is divisible by 604. If the result from step 2 isn't 604, then the number isn't divisible by 604.
Tips and Tricks for Divisibility Rule of 604
Understanding the divisibility rule helps in mastering division. Let’s learn a few tips and tricks for the divisibility rule of 604.
Know the multiples of 604: Memorize the multiples of 604 (604, 1208, 1812, 2416, etc.) to quickly check divisibility. If the result from the division is a multiple of 604, the number is divisible by 604.
Use estimation: If a number is slightly less than or greater than a known multiple of 604, use estimation to check divisibility without exact division.
Break down the number: Split large numbers into smaller parts that are easier to handle and check each part for divisibility by 604.
Use the division method to verify: Use the division method as a way to verify and crosscheck your results. This will help you confirm your calculations.
Common Mistakes and How to Avoid Them in Divisibility Rule of 604
The divisibility rule of 604 helps us quickly check if a given number is divisible by 604, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking evenness.
Ensure the number is even before proceeding with further checks. If it ends in an odd number, it’s not divisible by 604.
Mistake 2
Incorrect division.
Be careful when dividing the number by 2. Ensure the division is accurate to verify divisibility by 604.
Mistake 3
Forgetting to verify the result.
Always verify the final result to ensure it is a multiple of 604.
Mistake 4
Confusing the steps.
Practice the steps regularly to avoid confusion and errors.
Mistake 5
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Divisibility Rule of 604 Examples
Problem 1
Is 3020 divisible by 604?
No, 3020 is not divisible by 604.
Explanation
To determine if 3020 is divisible by 604, we can check using the divisibility rule specific to 604.
1) Break down the number 604 into its prime factors: 2, 2, 151.
2) Check divisibility of 3020 by these factors:
- 3020 is even, so divisible by 2.
- Divide 3020 by 2 to get 1510, which is also even, so divisible by another 2.
- Divide 1510 by 2 to get 755, which is not divisible by 151 (since 755 ÷ 151 ≠ an integer).
3) Since 3020 is not divisible by 151, it is not divisible by 604.
Problem 2
Check the divisibility of 1208 by 604.
Yes, 1208 is divisible by 604.
Explanation
Let's verify if 1208 is divisible by 604.
1) Break down 604 into its prime factors: 2, 2, 151.
2) Check divisibility of 1208 by these factors:
- 1208 is even, so divisible by 2.
- Divide 1208 by 2 to get 604, which is also even, so divisible by another 2.
- Divide 604 by 2 to get 302, which when divided by 151 gives 2 (302 ÷ 151 = 2).
3) Since 1208 is divisible by all the prime factors, it is divisible by 604.
Problem 3
Is -2416 divisible by 604?
Yes, -2416 is divisible by 604.
Explanation
To check if -2416 is divisible by 604, consider the absolute value and use the prime factor approach.
1) Consider 2416.
2) Check divisibility by factors 2, 2, 151:
- 2416 is even, so divisible by 2.
- Divide 2416 by 2 to get 1208, which is also even, so divisible by another 2.
- Divide 1208 by 2 to get 604, which divided by 151 gives 4 (604 ÷ 151 = 4).
3) Since 2416 is divisible by all prime factors, -2416 is divisible by 604.
Problem 4
Can 1812 be divisible by 604?
No, 1812 is not divisible by 604
Explanation
To determine if 1812 is divisible by 604, use the prime factor method.
1) Consider 1812.
2) Check divisibility by factors 2, 2, 151:
- 1812 is even, so divisible by 2.
- Divide 1812 by 2 to get 906, which is also even, so divisible by another 2.
- Divide 906 by 2 to get 453, which is not divisible by 151 (453 ÷ 151 ≠ an integer).
3) Since 1812 is not divisible by 151, it is not divisible by 604.
Problem 5
Check if 12080 is divisible by 604.
Yes, 12080 is divisible by 604.
Explanation
Verify divisibility of 12080 by 604.
1) Break down 604 into its prime factors: 2, 2, 151.
2) Check divisibility of 12080 by these factors:
- 12080 is even, so divisible by 2.
- Divide 12080 by 2 to get 6040, which is also even, so divisible by another 2.
- Divide 6040 by 2 to get 3020.
- Divide 3020 by 151 to get 20 (3020 ÷ 151 = 20).
3) Since 12080 is divisible by all the prime factors, it is divisible by 604.
FAQs on Divisibility Rule of 604
1.What is the divisibility rule for 604?
2.How many numbers between 1 and 3000 are divisible by 604?
3. Is 2416 divisible by 604?
4.What if I get 604 after dividing by 2?
5.Does the divisibility rule of 604 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 604?
7.What are some fun ways kids in United States can practice Divisibility Rule of 604 with numbers?
8.What role do numbers and Divisibility Rule of 604 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 604 skills?
Important Glossaries for Divisibility Rule of 604
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number.
- Multiples: Results obtained when a number is multiplied by an integer. For example, multiples of 604 are 604, 1208, 1812, etc.
- Even number: A number that ends in 0, 2, 4, 6, or 8.
- Division: The process of determining how many times one number is contained within another.
- Estimation: Approximating a number to quickly determine divisibility without exact calculations.
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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.
Fun Fact
: She loves to read number jokes and games.
