139 LearnersLast updated on May 26th, 2025
Divisibility Rule of 134
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 134.
What is the Divisibility Rule of 134?
The divisibility rule for 134 is a method by which we can find out if a number is divisible by 134 or not without using the division method. Check whether 2680 is divisible by 134 with the divisibility rule.
Step 1: Multiply the last digit of the number by 4, here in 2680, 0 is the last digit, multiply it by 4. 0 × 4 = 0
Step 2: Subtract the result from Step 1 from the remaining values, but do not include the last digit. i.e., 268–0 = 268.
Step 3: As it is shown that 268 is a multiple of 134, therefore, the number is divisible by 134. If the result from Step 2 isn't a multiple of 134, then the number isn't divisible by 134.
Tips and Tricks for Divisibility Rule of 134
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 134.
- Know the multiples of 134: Memorize the multiples of 134 (134, 268, 402, 536…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 134, then the number is divisible by 134.
- Use the negative numbers: If the result we get after the subtraction is negative, we will avoid the symbol and consider it as positive for checking the divisibility of a number.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 134.
For example: Check if 5360 is divisible by 134 using the divisibility test.
Multiply the last digit by 4, i.e., 0 × 4 = 0.
Subtract the remaining digits excluding the last digit by 0, 536–0 = 536. As 536 is a multiple of 134, 5360 is divisible by 134.
- 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.
Common Mistakes and How to Avoid Them in Divisibility Rule of 134
The divisibility rule of 134 helps us to quickly check if the given number is divisible by 134, 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 follow the correct steps that are multiplying the last digit with 4 and then subtracting the result from the remaining digits excluding the last digits and checking whether it is a multiple of 134.
Divisibility Rule of 134 Examples
Problem 1
Is 268 divisible by 134?
Yes, 268 is divisible by 134.
Explanation
To check if 268 is divisible by 134:
1) Divide the number by 134, 268 ÷ 134 = 2.
2) The result is a whole number without any remainder, indicating that 268 is divisible by 134.
Problem 2
Check the divisibility rule of 134 for 536.
Yes, 536 is divisible by 134.
Explanation
For checking the divisibility of 536 by 134:
1) Divide the number by 134, 536 ÷ 134 = 4.
2) The result is a whole number with no remainder, meaning 536 is divisible by 134.
Problem 3
Is 402 divisible by 134?
No, 402 is not divisible by 134.
Explanation
To check the divisibility of 402 by 134:
1) Divide the number by 134, 402 ÷ 134 ≈ 3.
2) The result is not a whole number (there is a remainder), so 402 is not divisible by 134.
Problem 4
Can 1340 be divisible by 134 following the divisibility rule?
Yes, 1340 is divisible by 134.
Explanation
To check if 1340 is divisible by 134:
1) Divide the number by 134, 1340 ÷ 134 = 10.
2) The result is a whole number without any remainder, indicating that 1340 is divisible by 134
Problem 5
Check the divisibility rule of 134 for 670.
No, 670 is not divisible by 134.
Explanation
To check the divisibility of 670 by 134:
1) Divide the number by 134, 670 ÷ 134 ≈ 5.
2) The result is not a whole number (there is a remainder), so 670 is not divisible by 134.
FAQs on Divisibility Rule of 134
1.What is the divisibility rule for 134?
2.How many numbers are there between 1 and 1000 that are divisible by 134?
3.Is 268 divisible by 134?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 134 apply to all the integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 134?
7.What are some fun ways kids in United States can practice Divisibility Rule of 134 with numbers?
8.What role do numbers and Divisibility Rule of 134 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 134 skills?
Important Glossaries for Divisibility Rule of 134
- 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 2 if the number ends with even numbers.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 134 are 134, 268, 402, 536…
- Integers: Integers are the numbers that include all the whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.
- Verify: To confirm the accuracy of a calculation, often done by using an alternative method such as actual 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.
