169 LearnersLast updated on May 26th, 2025
Divisibility Rule of 280
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 280.
What is the Divisibility Rule of 280?
The divisibility rule for 280 is a method by which we can find out if a number is divisible by 280 or not without using the division method. Check whether 5600 is divisible by 280 with the divisibility rule.
Step 1: Check if the number is divisible by 10. Since 5600 ends in 0, it is divisible by 10.
Step 2: Divide the number by 10 to get 560. Now check if 560 is divisible by 28 (since 280 = 28 × 10).
Step 3: Check if 560 is divisible by 28. You can do this by dividing 560 by 28, which gives a whole number (20), indicating that 560 is divisible by 28.
Step 4: Since 560 is divisible by 28, the original number, 5600, is divisible by 280.
Tips and Tricks for Divisibility Rule of 280
Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 280.
- Know the multiples of 280: Memorize the multiples of 280 (280, 560, 840, 1120, etc.) to quickly check divisibility. If the result from the calculation is a multiple of 280, then the number is divisible by 280.
- Use the divisibility rules for 10 and 28: If a number is divisible by both 10 and 28, then it is divisible by 280.
- Repeat the process for large numbers: For larger numbers, simplify by checking divisibility by 10 first, and then apply the rule for 28.
- Use the division method to verify: Use the division method as a way to verify and cross-check the results. This will help confirm accuracy and reinforce learning.
Common Mistakes and How to Avoid Them in Divisibility Rule of 280
The divisibility rule of 280 helps us to quickly check if a number is divisible by 280, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking divisibility by both 10 and 28.
Ensure you confirm that the number is divisible by both 10 and 28 to conclude it's divisible by 280.
Divisibility Rule of 280 Examples
Problem 1
Is 1960 divisible by 280?
Yes, 1960 is divisible by 280.
Explanation
To check if 1960 is divisible by 280, use the following approach:
1) Verify if 1960 is divisible by 10, as 280 ends in a zero. Yes, it is, since it ends in a zero.
2) Next, divide 196 by 28 (since 280 divided by 10 is 28).
3) 196 divided by 28 equals 7, which is a whole number.
Since both conditions are met, 1960 is divisible by 280.
Problem 2
Check whether 2240 is divisible by 280.
Yes, 2240 is divisible by 280.
Explanation
To apply the divisibility rule for 280 on 2240:
1) Check if 2240 is divisible by 10, which is true since it ends in a zero.
2) Now, divide 224 by 28 (because 280 divided by 10 is 28).
3) 224 divided by 28 equals 8, a whole number.
Thus, 2240 is divisible by 280.
Problem 3
Is 1400 divisible by 280?
Yes, 1400 is divisible by 280.
Explanation
For checking divisibility of 1400 by 280:
1) Confirm that 1400 is divisible by 10, which it is, since it ends in zero.
2) Divide 140 by 28 (because 280 divided by 10 is 28).
3) 140 divided by 28 equals 5, a whole number.
Therefore, 1400 is divisible by 280.
Problem 4
Can 2530 be divisible by 280 according to the divisibility rule?
No, 2530 is not divisible by 280.
Explanation
To check divisibility of 2530 by 280:
1) Verify if 2530 is divisible by 10, which it is.
2) Divide 253 by 28 (since 280 divided by 10 is 28).
3) 253 divided by 28 equals approximately 9.0357, not a whole number.
So, 2530 is not divisible by 280.
Problem 5
Check the divisibility rule of 280 for 3360.
Yes, 3360 is divisible by 280.
Explanation
To determine if 3360 follows the divisibility rule for 280:
1) Confirm that 3360 is divisible by 10, which it is.
2) Divide 336 by 28 (as 280 divided by 10 is 28).
3) 336 divided by 28 equals 12, a whole number.
Hence, 3360 is divisible by 280.
FAQs on Divisibility Rule of 280
1.What is the divisibility rule for 280?
2.How many numbers between 1 and 1000 are divisible by 280?
3. Is 1120 divisible by 280?
4.What if I get 0 after subtraction?
5.Does the divisibility rule of 280 apply to all integers?
6.How can children in Philippines use numbers in everyday life to understand Divisibility Rule of 280?
7.What are some fun ways kids in Philippines can practice Divisibility Rule of 280 with numbers?
8.What role do numbers and Divisibility Rule of 280 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Divisibility Rule of 280 skills?
Important Glossaries for Divisibility Rule of 280
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 280 are 280, 560, 840, etc.
- Integers: Integers are the numbers that include all whole numbers, negative numbers, and zero.
- Division: Division is the process of determining how many times one number is contained within another.
- Verification: The process of confirming the accuracy of a calculation or method, such as checking divisibility using division.
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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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