182 LearnersLast updated on May 26th, 2025
Divisibility Rule of 39
The divisibility rule is a way to determine 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 items. In this topic, we will learn about the divisibility rule of 39.
What is the Divisibility Rule of 39?
The divisibility rule for 39 is a method by which we can determine if a number is divisible by 39 without using the division method. Check whether 1521 is divisible by 39 with the divisibility rule.
Step 1: Separate the number into two parts. For instance, in 1521, separate it into 15 and 21.
Step 2: Check if both parts (15 and 21) are divisible by 3. Since 15/3 = 5 and 21/3 = 7, both parts are divisible by 3.
Step 3: Check if both parts (15 and 21) are divisible by 13. Since 15 is not divisible by 13 but 21 is, the number is not divisible by 39.
Tips and Tricks for Divisibility Rule of 39
Learning the divisibility rule helps kids master division. Let’s learn a few tips and tricks for the divisibility rule of 39.
- Know the multiples of 39: Memorize the multiples of 39 (39, 78, 117, 156, etc.) to quickly check divisibility. If both parts are divisible by 3 and 13, then the number is divisible by 39.
- Use the parts method: If dealing with a large number, break it into smaller parts and check each for divisibility by 3 and 13.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they can easily determine if each part is divisible by 3 and 13.
For example, check if 5079 is divisible by 39 using the divisibility test. Split into two parts: 50 and 79. Check: 50 is divisible by 5, but not by 3 or 13. 79 is not divisible by 3 or 13. Since neither part meets the criteria, 5079 is not divisible by 39.
- Use the division method to verify: Students can use the division method 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 39
The divisibility rule of 39 helps us to quickly check if a given number is divisible by 39, but common mistakes like calculation errors lead to incorrect conclusions. 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, which include separating numbers into parts and checking if each part is divisible by 3 and 13.
Divisibility Rule of 39 Examples
Problem 1
Is 273 divisible by 39?
Yes, 273 is divisible by 39.
Explanation
To see if 273 is divisible by 39, we can use the divisibility rule for 39.
1) Break the number into two parts: 27 and 3.
2) Check if the number 273 is divisible by 3 (since 3 is a factor of 39). The sum of the digits is 2 + 7 + 3 = 12, which is divisible by 3.
3) Now check if 273 is divisible by 13 (since 13 is another factor of 39). Divide 273 by 13, resulting in 21, which is a whole number.
Since 273 is divisible by both 3 and 13, it is divisible by 39.
Problem 2
Check the divisibility rule of 39 for 507.
Yes, 507 is divisible by 39.
Explanation
To check if 507 is divisible by 39, follow these steps:
1) Check if 507 is divisible by 3. The sum of the digits is 5 + 0 + 7 = 12, which is divisible by 3.
2) Now check if 507 is divisible by 13. Divide 507 by 13, resulting in 39, which is a whole number.
Since 507 is divisible by both 3 and 13, it is divisible by 39.
Problem 3
Is 624 divisible by 39?
No, 624 is not divisible by 39.
Explanation
To determine if 624 is divisible by 39, use these steps:
1) Check if 624 is divisible by 3. The sum of the digits is 6 + 2 + 4 = 12, which is divisible by 3.
2) Now check if 624 is divisible by 13. Divide 624 by 13, resulting in approximately 48. This is not a whole number.
Since 624 is not divisible by 13, it is not divisible by 39.
Problem 4
Can 429 be divisible by 39 following the divisibility rule?
Yes, 429 is divisible by 39.
Explanation
To check if 429 is divisible by 39, perform these checks:
1) Check if 429 is divisible by 3. The sum of the digits is 4 + 2 + 9 = 15, which is divisible by 3.
2) Now check if 429 is divisible by 13. Divide 429 by 13, resulting in 33, which is a whole number.
Since 429 is divisible by both 3 and 13, it is divisible by 39.
Problem 5
Check the divisibility rule of 39 for 741.
No, 741 is not divisible by 39.
Explanation
To determine if 741 is divisible by 39, follow these steps:
1) Check if 741 is divisible by 3. The sum of the digits is 7 + 4 + 1 = 12, which is divisible by 3.
2) Now check if 741 is divisible by 13. Divide 741 by 13, resulting in approximately 57, which is not a whole number.
Since 741 is not divisible by 13, it is not divisible by 39.
FAQs on Divisibility Rule of 39
1.What is the divisibility rule for 39?
2.How many numbers are there between 1 and 100 that are divisible by 39?
3.Is 39 divisible by 39?
4.What if I get 0 after checking divisibility?
5.Does the divisibility rule of 39 apply to all integers?
6.How can children in India use numbers in everyday life to understand Divisibility Rule of 39?
7.What are some fun ways kids in India can practice Divisibility Rule of 39 with numbers?
8.What role do numbers and Divisibility Rule of 39 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 39 skills?
Important Glossaries for Divisibility Rule of 39
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number, such as 39.
- Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 39 are 39, 78, 117, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Separation: The process of dividing a number into parts to check divisibility.
- Verification: Using calculations, such as division, to ensure the correctness of the application of divisibility rules.
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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.
