212 LearnersLast updated on May 26th, 2025
Divisibility Rule of 568
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 568.
What is the Divisibility Rule of 568?
The divisibility rule for 568 is a method by which we can determine if a number is divisible by 568 without using the division method. Check whether 2272 is divisible by 568 with the divisibility rule.
Step 1: Multiply the last digit of the number by 3, here in 2272, 2 is the last digit. Multiply it by 3. 2 × 3 = 6
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 227 - 6 = 221.
Step 3: Check if 221 is divisible by 4 and 71 (since 568 = 4 × 71). As it is shown that 221 is not a multiple of 4, the number is not divisible by 568. If the result from step 2 were divisible by both 4 and 71, then the number would be divisible by 568.
Tips and Tricks for Divisibility Rule of 568
Learning the divisibility rule helps kids master division. Let's learn a few tips and tricks for the divisibility rule of 568.
- Know the factors of 568: Memorize the factors of 568 (4 and 71) to quickly check divisibility. If the result from subtraction is divisible by both, then the number is divisible by 568.
- Simplify using smaller numbers: If the result we get after subtraction is a smaller number, it is easier to check its divisibility by the factors of 568.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a smaller number that can easily be checked for divisibility by 4 and 71.
- 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 568
The divisibility rule of 568 helps us quickly check if a given number is divisible by 568, 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 following the correct steps.
Students should follow the correct steps by multiplying the last digit with 3 and then subtracting the result from the remaining digits while excluding the last digit and checking if it is divisible by 4 and 71.
Mistake 2
Including the last digit in subtraction.
Students should exclude the last digit while subtracting and include all the remaining digits.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after obtaining a large number from subtraction. The process should be repeated until we get the smallest number that can be checked for divisibility by 4 and 71.
Mistake 4
Skipping checks for multiple factors.
Students should ensure they check divisibility by both 4 and 71, not just one factor.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget them. To avoid errors, students should practice regularly.
Divisibility Rule of 568 Examples
Problem 1
Is 1704 divisible by 568?
Yes, 1704 is divisible by 568.
Explanation
To check if 1704 is divisible by 568, we can use the following method:
1) Divide the number by 568 directly: 1704 ÷ 568 = 3.
2) Since the result is a whole number, 1704 is divisible by 568.
Problem 2
Check the divisibility rule of 568 for 3408.
Yes, 3408 is divisible by 568.
Explanation
For checking the divisibility of 3408 by 568, follow this:
1) Divide 3408 by 568: 3408 ÷ 568 = 6.
2) The result is a whole number, so 3408 is divisible by 568.
Problem 3
Is 2272 divisible by 568?
Yes, 2272 is divisible by 568.
Explanation
To check if 2272 is divisible by 568, use this method:
1) Perform the division: 2272 ÷ 568 = 4.
2) The division results in a whole number, therefore 2272 is divisible by 568.
Problem 4
Can 3000 be divisible by 568 following the divisibility rule?
No, 3000 isn't divisible by 568.
Explanation
To check if 3000 is divisible by 568:
1) Divide 3000 by 568: 3000 ÷ 568 ≈ 5.28169.
2) Since the result is not a whole number, 3000 is not divisible by 568.
Problem 5
Check the divisibility rule of 568 for 1136.
Yes, 1136 is divisible by 568.
Explanation
To check the divisibility of 1136 by 568:
1) Divide the number by 568: 1136 ÷ 568 = 2.
2) The result is a whole number, indicating that 1136 is divisible by 568.
FAQs on Divisibility Rule of 568
1.What is the divisibility rule for 568?
2.How many numbers are there between 1 and 1000 that are divisible by 568?
3.Is 1136 divisible by 568?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 568 apply to all integers?
6.How can children in Australia use numbers in everyday life to understand Divisibility Rule of 568?
7.What are some fun ways kids in Australia can practice Divisibility Rule of 568 with numbers?
8.What role do numbers and Divisibility Rule of 568 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Divisibility Rule of 568 skills?
Important Glossaries for Divisibility Rule of 568
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Factors: Factors are numbers that divide another number completely without leaving a remainder. For example, factors of 568 are 1, 2, 4, 71, 142, 284, 568.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 568 are 568, 1136, 1704, etc.
- Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.
- Verification: The process of confirming the accuracy of a result, often by using an alternate 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.
