159 LearnersLast updated on May 26th, 2025
Divisibility Rule of 136
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 136.
What is the Divisibility Rule of 136?
The divisibility rule for 136 is a method by which we can find out if a number is divisible by 136 or not without using the division method. Let's check whether 2720 is divisible by 136 with the divisibility rule.
Step 1: Divide the number into two parts: the last three digits and the remaining digits. For 2720, the parts are 720 and 2.
Step 2: Check if each part is divisible by 136. Here, 720 is not divisible by 136, and 2 is also not divisible by 136.
Step 3: Since neither part is divisible by 136, the number 2720 is not divisible by 136.
Tips and Tricks for Divisibility Rule of 136
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 136.
- Know the multiples of 136: Memorize the multiples of 136 (136, 272, 408, 544, etc.) to quickly check divisibility. If the parts of the number are multiples of 136, then the number is divisible by 136.
- Break down large numbers: For large numbers, break them down into smaller parts that can be checked for divisibility by 136.
- Combine divisibility rules: Since 136 is a product of 2, 4, and 17, you can sometimes combine divisibility rules for these numbers to check divisibility by 136.
- 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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 136
The divisibility rule of 136 helps us to quickly check if a given number is divisible by 136, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you avoid them.
Mistake 1
Not checking each part separately.
Students should remember to check the divisibility of each part of the number individually.
Divisibility Rule of 136 Examples
Problem 1
Is 544 divisible by 136?
Yes, 544 is divisible by 136.
Explanation
To check if 544 is divisible by 136, perform the following steps:
1) Divide the number 544 by 136.
2) 544 ÷ 136 = 4, which is an integer.
3) Since the division results in an integer, 544 is divisible by 136.
Problem 2
Check the divisibility rule of 136 for 272.
Yes, 272 is divisible by 136.
Explanation
For checking divisibility of 272 by 136, follow these steps:
1) Divide 272 by 136.
2) 272 ÷ 136 = 2, which is an integer.
3) The result is an integer, indicating 272 is divisible by 136.
Problem 3
Is -680 divisible by 136?
Yes, -680 is divisible by 136.
Explanation
To determine if -680 is divisible by 136, consider the steps:
1) Remove the negative sign and divide 680 by 136.
2) 680 ÷ 136 = 5, which is an integer.
3) Since the division results in an integer, -680 is divisible by 136.
Problem 4
Can 123 be divisible by 136 following the divisibility rule?
No, 123 is not divisible by 136.
Explanation
To check if 123 is divisible by 136, we follow this process:
1) Divide 123 by 136.
2) 123 ÷ 136 = 0.904, which is not an integer.
3) Since the result is not an integer, 123 is not divisible by 136.
Problem 5
Check the divisibility rule of 136 for 816.
Yes, 816 is divisible by 136.
Explanation
To check divisibility of 816 by 136, execute these steps:
1) Divide 816 by 136.
2) 816 ÷ 136 = 6, which is an integer.
3) Since the division results in an integer, 816 is divisible by 136.
FAQs on Divisibility Rule of 136
1.What is the divisibility rule for 136?
2.How many numbers are there between 1 and 1000 that are divisible by 136?
3.Is 408 divisible by 136?
4.What if both parts are not divisible by 136?
5.Does the divisibility rule of 136 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 136?
7.What are some fun ways kids in United States can practice Divisibility Rule of 136 with numbers?
8.What role do numbers and Divisibility Rule of 136 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 136 skills?
Important Glossary for Divisibility Rule of 136
- Divisibility Rule: The set of rules used to find out whether a number is divisible by another number or not. For instance, a number is divisible by 2 if the number ends with an even digit.
- Multiples: Results obtained when a number is multiplied by an integer. For example, multiples of 136 are 136, 272, 408, etc.
- Integers: Whole numbers that include negatives and zero.
- Division: A mathematical operation where a number is divided into equal parts.
- Factors: Numbers that divide another number exactly without leaving a remainder. For example, factors of 136 are 1, 2, 4, 8, 17, 34, 68, and 136.
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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.
