188 LearnersLast updated on May 26th, 2025
Divisibility Rule of 28
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 28.
What is the Divisibility Rule of 28?
The divisibility rule for 28 is a method by which we can find out if a number is divisible by 28 or not without using the division method.
Check whether 196 is divisible by 28 with the divisibility rule.
Step 1: Check if the number is divisible by 4. The last two digits of 196 are 96, which is divisible by 4.
Step 2: Check if the number is divisible by 7 using the divisibility rule of 7. For 196, multiply the last digit by 2 (6 × 2 = 12) and subtract it from the remaining digits (19 - 12 = 7), which is a multiple of 7.
Since 196 passes both conditions (divisible by 4 and 7), it is divisible by 28.
Tips and Tricks for Divisibility Rule of 28
Learn divisibility rules to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 28.
- Know the multiples of 28: Memorize the multiples of 28 (28, 56, 84, 112, 140… etc.) to quickly check the divisibility. If the number matches any of the multiples, it is divisible by 28.
- Use negative numbers carefully: If the result obtained during the process is negative, consider it as positive when checking for divisibility.
- Repeat the process for large numbers: Students should keep repeating the divisibility process for both 4 and 7 until they reach a small number that is divisible by both.
For example, check if 392 is divisible by 28 using the divisibility test.
First, check for divisibility by 4: The last two digits are 92, which is divisible by 4.
Next, check for divisibility by 7: Multiply the last digit by 2 (2 × 2 = 4) and subtract it from the remaining digits (39 - 4 = 35), which is a multiple of 7.
Since 392 satisfies both conditions, it is divisible by 28.
- Use the division method to verify: Students can use the division method as a way to verify and crosscheck their results. This helps them verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 28
The divisibility rule of 28 helps us to quickly check if the given number is divisible by 28, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to avoid them.
Mistake 1
Not following both divisibility checks.
Students should ensure they check for divisibility by both 4 and 7.
Divisibility Rule of 28 Examples
Problem 1
Is 196 divisible by 28?
Yes, 196 is divisible by 28.
Explanation
To determine if 196 is divisible by 28, we can use a combination of divisibility rules for 4 and 7, since 28 = 4 × 7.
1) Check divisibility by 4: The last two digits of 196 are 96, which is divisible by 4 (96 ÷ 4 = 24).
2) Check divisibility by 7: Use the rule for 7. Multiply the last digit by 2, 6 × 2 = 12, and subtract from the remaining part, 19 – 12 = 7, which is a multiple of 7.
Since 196 meets divisibility rules for both 4 and 7, it is divisible by 28.
Problem 2
Check if 364 is divisible by 28.
Yes, 364 is divisible by 28.
Explanation
We need to check divisibility by both 4 and 7.
1) Divisibility by 4: The last two digits, 64, are divisible by 4 (64 ÷ 4 = 16).
2) Divisibility by 7: Multiply the last digit by 2, 4 × 2 = 8, and subtract from the rest, 36 – 8 = 28, which is divisible by 7.
Since 364 is divisible by both 4 and 7, it is divisible by 28.
Problem 3
Is 308 divisible by 28?
Yes, 308 is divisible by 28.
Explanation
Check for divisibility by 4 and 7.
1) Divisibility by 4: The last two digits are 08, which is divisible by 4 (8 ÷ 4 = 2).
2) Divisibility by 7: Multiply the last digit by 2, 8 × 2 = 16, and subtract from the rest, 30 – 16 = 14, which is divisible by 7.
Thus, 308 is divisible by 28.
Problem 4
Can 250 be divisible by 28?
No, 250 is not divisible by 28.
Explanation
Check divisibility by 4 and 7.
1) Divisibility by 4: The last two digits, 50, are not divisible by 4.
2) Divisibility by 7: Multiply the last digit by 2, 0 × 2 = 0, and subtract from the rest, 25 – 0 = 25, which is not divisible by 7.
Since 250 is not divisible by both 4 and 7, it is not divisible by 28.
Problem 5
Check if 784 is divisible by 28.
Yes, 784 is divisible by 28.
Explanation
Verify divisibility by 4 and 7.
1) Divisibility by 4: The last two digits, 84, are divisible by 4 (84 ÷ 4 = 21).
2) Divisibility by 7: Multiply the last digit by 2, 4 × 2 = 8, and subtract from the rest, 78 – 8 = 70, which is divisible by 7.
Since 784 is divisible by both 4 and 7, it is divisible by 28.
FAQs on Divisibility Rule of 28
1.What is the divisibility rule for 28?
2.How many numbers are there between 1 and 100 that are divisible by 28?
3.Is 112 divisible by 28?
4.What if I get 0 after subtraction when checking for 7?
5.Does the divisibility rule of 28 apply to all integers?
6.How can children in India use numbers in everyday life to understand Divisibility Rule of 28?
7.What are some fun ways kids in India can practice Divisibility Rule of 28 with numbers?
8.What role do numbers and Divisibility Rule of 28 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Divisibility Rule of 28 skills?
Important Glossaries for Divisibility Rule of 28.
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number without actual division.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 28 are 28, 56, 84, 112, etc.
- Integers: Integers include all whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is a process of finding the difference between two numbers by reducing one number from another.
- Verification: A method used to confirm the accuracy of a result, such as using division to check divisibility.
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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
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