130 LearnersLast updated on May 26th, 2025
Divisibility Rule of 138
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 138.
What is the Divisibility Rule of 138?
The divisibility rule for 138 is a method by which we can find out if a number is divisible by 138 or not without using the division method. Check whether 276 is divisible by 138 with the divisibility rule.
Step 1: Check if the number is divisible by both 2 and 69. For a number to be divisible by 2, its last digit must be even. For 276, the last digit is 6, which is even, so it is divisible by 2.
Step 2: Check if the number formed by the last two digits (76 in this case) is divisible by 69. Since 76 is not divisible by 69, 276 is not divisible by 138.
Tips and Tricks for Divisibility Rule of 138
Learn the divisibility rule to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 138.
- Know the multiples of 138: Memorize the multiples of 138 (138, 276, 414, 552…etc.) to quickly check divisibility. If the result from the check is a multiple of 138, then the number is divisible by 138.
- 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 138
The divisibility rule of 138 helps us to quickly check if the given number is divisible by 138, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not following the correct steps.
Ensure you check divisibility by both 2 and 69 when using the divisibility rule for 138.
Divisibility Rule of 138 Examples
Problem 1
Is 276 divisible by 138?
Yes, 276 is divisible by 138.
Explanation
To determine if 276 is divisible by 138, use the divisibility rule for 138.
1) First, add the digits of the number: 2 + 7 + 6 = 15.
2) Check if the sum of the digits (15) is a multiple of the sum of the digits of 138 (1 + 3 + 8 = 12). Since 15 is not a multiple of 12, this step doesn't confirm divisibility.
3) However, divide 276 by 138 directly, and you get 2, a whole number. Thus, 276 is divisible by 138.
Problem 2
Check the divisibility rule of 138 for 414.
Yes, 414 is divisible by 138.
Explanation
To check if 414 is divisible by 138:
1) Add the digits of the number: 4 + 1 + 4 = 9.
2) Since 9 is not a multiple of the sum of the digits of 138 (12), proceed to direct division.
3) Divide 414 by 138, and you get 3, a whole number. Therefore, 414 is divisible by 138.
Problem 3
Is -690 divisible by 138?
Yes, -690 is divisible by 138.
Explanation
To check if -690 is divisible by 138, ignore the negative sign and proceed with positive 690.
1) Add the digits of 690: 6 + 9 + 0 = 15.
2) As 15 isn't a multiple of 12 (sum of the digits of 138), check direct division.
3) Divide 690 by 138, and you get 5, a whole number. Hence, -690 is divisible by 138.
Problem 4
Can 500 be divisible by 138 following the divisibility rule?
No, 500 isn't divisible by 138.
Explanation
To check if 500 is divisible by 138:
1) Add the digits of 500: 5 + 0 + 0 = 5.
2) Since 5 is not a multiple of 12, proceed to direct division.
3) Divide 500 by 138, and you do not get a whole number. Thus, 500 is not divisible by 138.
Problem 5
Check the divisibility rule of 138 for 1104.
Yes, 1104 is divisible by 138.
Explanation
To check the divisibility rule of 138 for 1104:
1) Add the digits of 1104: 1 + 1 + 0 + 4 = 6.
2) Since 6 is not a multiple of 12, check direct division.
3) Divide 1104 by 138, and you get 8, a whole number. Therefore, 1104 is divisible by 138.
FAQs on Divisibility Rule of 138
1.What is the divisibility rule for 138?
2.How many numbers are there between 1 and 1000 that are divisible by 138?
3.Is 552 divisible by 138?
4.Does the divisibility rule of 138 apply to all integers?
5.How can children in United States use numbers in everyday life to understand Divisibility Rule of 138?
6.What are some fun ways kids in United States can practice Divisibility Rule of 138 with numbers?
7.What role do numbers and Divisibility Rule of 138 play in helping children in United States develop problem-solving skills?
8.How can families in United States create number-rich environments to improve Divisibility Rule of 138 skills?
Important Glossaries for Divisibility Rule of 138
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number or not.
- Multiples: Multiples are the results obtained after multiplying a number by an integer. For example, multiples of 138 are 138, 276, 414, etc.
- Even number: A number that is divisible by 2 with no remainder.
- Integer: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Verification: The process of confirming the accuracy of a result, often by performing a calculation again or using a different method.
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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
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