174 LearnersLast updated on May 26th, 2025
Divisibility Rule of 560
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 560.
What is the Divisibility Rule of 560?
The divisibility rule for 560 is a method by which we can find out if a number is divisible by 560 or not without using the division method. Check whether 1120 is divisible by 560 with the divisibility rule.
Step 1: Check if the number is divisible by 10. A number is divisible by 10 if its last digit is 0. Since 1120 ends in 0, it is divisible by 10.
Step 2: Check if the number formed by the digits excluding the last digit is divisible by 56. Here, the number is 112.
Step 3: Check if 112 is divisible by 56. Since 112 divided by 56 equals 2, 112 is divisible by 56.
Since both conditions are satisfied, 1120 is divisible by 560.
Tips and Tricks for Divisibility Rule of 560
Learning divisibility rules will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 560.
- Know the factors of 560: Memorize that 560 = 10 × 56. Check divisibility by 10 and then by 56 to quickly check the divisibility by 560.
- Use factors: If a number is divisible by both 10 and 56, then it is also divisible by 560.
- Repeat the process for large numbers: For larger numbers, you can break them down into smaller parts and check the divisibility for each part.
For example, check if 2240 is divisible by 560. Since 2240 ends in 0, it is divisible by 10.
The remaining number is 224, which is divisible by 56 (224 ÷ 56 = 4). Thus, 2240 is divisible by 560.
- Use the division method to verify: Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 560
The divisibility rule of 560 helps us to quickly check if the given number is divisible by 560, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not following the correct steps.
Students should ensure they first check divisibility by 10 and then by 56.
Divisibility Rule of 560 Examples
Problem 1
Can the number 6720 be evenly divided by 560?
Yes, 6720 is divisible by 560.
Explanation
To check divisibility by 560, we need the number to be divisible by 8 and 70.
First, check for divisibility by 8: the last three digits, 720, are divisible by 8 (720 ÷ 8 = 90). Next, check divisibility by 70: the last digit is 0, and the number formed by the other digits, 672, is divisible by 7 (672 ÷ 7 = 96).
Therefore, 6720 is divisible by 560.
Problem 2
Is 4480 divisible by 560?
No, 4480 is not divisible by 560.
Explanation
For divisibility by 560, the number must be divisible by both 8 and 70.
First, check divisibility by 8: the last three digits, 480, are divisible by 8 (480 ÷ 8 = 60).
Next, for divisibility by 70, the last digit is 0, and 448 divided by 7 gives 64, which is an integer.
However, 4480 fails the divisibility requirement for 560 because 64 is not correctly divisible by 10, necessary for the 70 rule.
Problem 3
Is 12320 divisible by 560?
Yes, 12320 is divisible by 560.
Explanation
For divisibility by 560, the number must be divisible by both 8 and 70.
Check divisibility by 8: the last three digits, 320, are divisible by 8 (320 ÷ 8 = 40). Next, check divisibility by 70: the last digit is 0, and 1232 divided by 7 gives 176, which is a whole number. Since both conditions are met, 12320 is divisible by 560.
Problem 4
Can 2520 be divided by 560?
No, 2520 is not divisible by 560.
Explanation
To determine if 2520 is divisible by 560, check divisibility by 8 and 70.
The last three digits, 520, are not divisible by 8 (520 ÷ 8 = 65, not an integer).
Hence, 2520 is not divisible by 560, as it fails the divisibility test for 8.
Problem 5
Check if 7840 is divisible by 560.
Yes, 7840 is divisible by 560.
Explanation
To verify divisibility by 560, confirm divisibility by 8 and 70.
The last three digits, 840, are divisible by 8 (840 ÷ 8 = 105). For 70, the last digit is 0, and 784 divided by 7 gives 112, which is a whole number.
Thus, 7840 is divisible by 560.
FAQs on Divisibility Rule of 560
1.What is the divisibility rule for 560?
2.How many numbers between 1 and 1000 are divisible by 560?
3.Is 2240 divisible by 560?
4.What if a number ends in 0 but is not divisible by 56?
5.Does the divisibility rule of 560 apply to all integers?
6.How can children in United Kingdom use numbers in everyday life to understand Divisibility Rule of 560?
7.What are some fun ways kids in United Kingdom can practice Divisibility Rule of 560 with numbers?
8.What role do numbers and Divisibility Rule of 560 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Divisibility Rule of 560 skills?
Important Glossaries for Divisibility Rule of 560
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 10 if it ends in 0.
- Factors: Numbers that multiply together to get another number. For example, the factors of 560 are 10 and 56.
- Multiple: A multiple is the product of a number and an integer. For example, a multiple of 560 is 1120.
- Integer: Whole numbers, including negative numbers and zero.
- Verification: The process of ensuring calculations and steps are correct, often by checking with another method such as 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.
Fun Fact
: She loves to read number jokes and games.
