178 LearnersLast updated on May 26th, 2025
Divisibility Rule of 68
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 68.
What is the Divisibility Rule of 68?
The divisibility rule for 68 is a method by which we can find out if a number is divisible by 68 or not without using the division method. Check whether 2040 is divisible by 68 with the divisibility rule.
Step 1: Check if the number is divisible by both 4 and 17, as 68 is the product of these numbers.
For divisibility by 4: The last two digits of the number must be divisible by 4.
For divisibility by 17: Use the rule that involves checking if the remainder of dividing the number by 17 is zero.
Step 2: For 2040, the last two digits are 40, which is divisible by 4.
Step 3: Now divide 2040 by 17. If there is no remainder, the number is divisible by 68.
2040 ÷ 17 = 120, which is an integer, indicating divisibility by 17.
Since 2040 is divisible by both 4 and 17, it is divisible by 68.
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Tips and Tricks for Divisibility Rule of 68
Learn the divisibility rule to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 68.
Know the multiples of 68:
Memorize the multiples of 68 (68, 136, 204, 272, 340, etc.) to quickly check divisibility.
Use the division method to verify:
Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.
Practice with smaller numbers:
Break down larger numbers into smaller sections to test divisibility by 4 and 17 separately.
Common Mistakes and How to Avoid Them in Divisibility Rule of 68
The divisibility rule of 68 helps us quickly check if a given number is divisible by 68, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not checking divisibility by both 4 and 17.
Ensure you check divisibility by both 4 and 17 since 68 is the product of these numbers.
Mistake 2
Miscalculating division results or remainders.
Double-check your calculations, especially when dividing by 17.
Mistake 3
Confusing the steps.
Students often confuse the steps or forget them. To avoid errors, practice regularly.
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Divisibility Rule of 68 Examples
Problem 1
Is 340 divisible by 68?
Yes, 340 is divisible by 68.
Explanation
To check if 340 is divisible by 68, we need to follow a specific process:
1) Divide the number by 68 directly: 340 ÷ 68 = 5.
2) The result is an integer, meaning 340 is divisible by 68 without a remainder.
Problem 2
Check the divisibility rule of 68 for 476.
No, 476 is not divisible by 68.
Explanation
To determine if 476 is divisible by 68:
1) Divide the number by 68: 476 ÷ 68 = 7 with a remainder.
2) Since the result is not an integer, 476 is not divisible by 68.
Problem 3
Is -544 divisible by 68?
Yes, -544 is divisible by 68.
Explanation
To check divisibility for a negative number like -544:
1) Remove the negative sign and divide the absolute value by 68: 544 ÷ 68 = 8.
2) The result is an integer, so -544 is divisible by 68.
Problem 4
Can 102 be divisible by 68 following the divisibility rule?
No, 102 isn't divisible by 68.
Explanation
To check if 102 is divisible by 68, perform the following:
1) Divide the number by 68: 102 ÷ 68 = 1 with a remainder.
2) The division does not result in an integer, hence 102 is not divisible by 68.
Problem 5
Check the divisibility rule of 68 for 136.
Yes, 136 is divisible by 68.
Explanation
To verify if 136 is divisible by 68:
1) Divide the number by 68: 136 ÷ 68 = 2.
2) The division yields an integer, confirming that 136 is divisible by 68.
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FAQs on Divisibility Rule of 68
1.What is the divisibility rule for 68?
2.How many numbers are there between 1 and 1000 that are divisible by 68?
3.Is 204 divisible by 68?
4.What if I get 0 after dividing by 17?
5.Does the divisibility rule of 68 apply to all integers?
6.How can children in India use numbers in everyday life to understand Divisibility Rule of 68?
7.What are some fun ways kids in India can practice Divisibility Rule of 68 with numbers?
8.What role do numbers and Divisibility Rule of 68 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 68 skills?
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Important Glossaries for Divisibility Rule of 68
- Divisibility rule: A set of rules used to find out whether a number is divisible by another number or not.
- Multiples: Results obtained after multiplying a number by an integer. For example, multiples of 68 are 68, 136, 204, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Remainder: The amount left over after division when one number does not divide another exactly.
- Division: The process of determining how many times one number is contained within another.
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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.
