141 LearnersLast updated on May 26th, 2025
Divisibility Rule of 284
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 284.
What is the Divisibility Rule of 284?
The divisibility rule for 284 is a method by which we can find out if a number is divisible by 284 or not without using the division method. Check whether 568 is divisible by 284 with the divisibility rule.
Step 1: Since 284 is a composite number, it can be broken down into its prime factors for simpler checking. The prime factors of 284 are 2 and 71 (284 = 2 × 2 × 71). Therefore, a number divisible by 284 must be divisible by both 4 (2×2) and 71.
Step 2: First, check divisibility by 4. For 568, look at the last two digits, 68. Since 68 is divisible by 4, we proceed to the next step.
Step 3: Check divisibility by 71. Divide 568 by 71. Since 568 ÷ 71 = 8 without a remainder, 568 is divisible by 71.
Step 4: Since 568 is divisible by both 4 and 71, it is also divisible by 284.
Tips and Tricks for Divisibility Rule of 284
- Know the multiples of 284: Memorize the multiples of 284 (284, 568, 852…etc.) to quickly check the divisibility. If a number is a multiple of 284, it is divisible by 284.
- Break down into factors: Use the prime factors of 284 (2, 2, 71) to simplify the process. If a number is divisible by 4 and 71, it is divisible by 284.
- Repeat the process for large numbers: Students should keep repeating the divisibility process with smaller components until they reach a conclusion.
- Use the division method to verify: Students can use the division method to verify and cross-check their results. This helps in learning and confirming the accuracy of results.
Common Mistakes and How to Avoid Them in Divisibility Rule of 284
The divisibility rule of 284 helps us quickly check if a given number is divisible by 284, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them
Mistake 1
Not checking both factors.
Ensure to check divisibility by both 4 and 71, as a number must be divisible by both to be divisible by 284.
Mistake 2
Miscalculating the divisibility for 4.
Remember to check the last two digits of the number to determine divisibility by 4.
Mistake 3
Forgetting to verify with division.
Use the division method for verification to confirm your results.
Mistake 4
Not considering negative values.
Divisibility rules apply to negative values too, so treat them as positive when checking for divisibility.
Mistake 5
Confusing the steps.
Practice regularly to remember the steps and avoid confusion.
Divisibility Rule of 284 Examples
Problem 1
Is 568 divisible by 284?
Yes, 568 is divisible by 284.
Explanation
To check if 568 is divisible by 284:
1) Divide 568 by 284, which equals 2.
2) Since 2 is an integer, 568 is divisible by 284.
Problem 2
Check the divisibility rule of 284 for 852.
Yes, 852 is divisible by 284.
Explanation
To determine if 852 is divisible by 284:
1) Divide 852 by 284, resulting in 3.
2) As 3 is a whole number, 852 is divisible by 284.
Problem 3
Is 1136 divisible by 284?
Yes, 1136 is divisible by 284.
Explanation
To verify if 1136 is divisible by 284:
1) Divide 1136 by 284, yielding 4.
2) Since the result is an integer, 1136 is divisible by 284.
Problem 4
Can 739 be divisible by 284 following the divisibility rule?
No, 739 is not divisible by 284.
Explanation
To check if 739 is divisible by 284:
1) Divide 739 by 284, which equals approximately 2.6.
2) Since 2.6 is not an integer, 739 is not divisible by 284.
Problem 5
Check the divisibility rule of 284 for 1420.
Yes, 1420 is divisible by 284.
Explanation
To determine if 1420 is divisible by 284:
1) Divide 1420 by 284, resulting in 5.
2) As 5 is a whole number, 1420 is divisible by 284.
FAQs on Divisibility Rule of 284
1.What is the divisibility rule for 284?
2.How many numbers are there between 1 and 1000 that are divisible by 284?
3.Is 1420 divisible by 284?
4. What if I get 0 after division?
5.Does the divisibility rule of 284 apply to all integers?
6.How can children in Vietnam use numbers in everyday life to understand Divisibility Rule of 284?
7.What are some fun ways kids in Vietnam can practice Divisibility Rule of 284 with numbers?
8.What role do numbers and Divisibility Rule of 284 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Divisibility Rule of 284 skills?
Important Glossaries for Divisibility Rule of 284
- Divisibility rule: The set of rules used to determine if a number is divisible by another number without performing division.
- Prime factors: The prime numbers that multiply together to give a composite number. For 284, the prime factors are 2 and 71.
- Multiples: The results obtained by multiplying a number by integers. For example, multiples of 284 are 284, 568, and 852.
- Subtraction: A mathematical process of finding the difference between two numbers.
- Verification: The process of confirming the accuracy of a result, often by using a different method such as actual division.
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About BrightChamps in Vietnam
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.
