152 LearnersLast updated on May 26th, 2025
Divisibility Rule of 139
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 139.
What is the Divisibility Rule of 139?
The divisibility rule for 139 is a method by which we can find out if a number is divisible by 139 or not without using the division method. Check whether 5561 is divisible by 139 with the divisibility rule.
Step 1: Multiply the last digit of the number by 4, here in 5561, 1 is the last digit, so multiply it by 4. 1 × 4 = 4
Step 2: Subtract the result from Step 1 from the remaining values, but do not include the last digit. i.e., 556–4 = 552.
Step 3: As it is shown that 552 is not a multiple of 139, therefore, the number is not divisible by 139. If the result from step 2 is a multiple of 139, then the number is divisible by 139.
Tips and Tricks for Divisibility Rule of 139
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 139.
- Know the multiples of 139: Memorize the multiples of 139 (139, 278, 417, 556, 695...etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 139, then the number is divisible by 139.
- 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 139.
For example: Check if 16768 is divisible by 139 using the divisibility test. Multiply the last digit by 4, i.e., 8 × 4 = 32.
Subtract the remaining digits excluding the last digit by 32, 1676–32 = 1644. Still, 1644 is a large number, hence we will repeat the process again and multiply the last digit by 4, 4 × 4 = 16.
Now subtracting 16 from the remaining numbers excluding the last digit, 164–16 = 148. As 148 is a multiple of 139, 16768 is divisible by 139.
- Use the division method to verify: Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 139
The divisibility rule of 139 helps us quickly check if a given number is divisible by 139, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, which are multiplying the last digit by 4 and then subtracting the result from the remaining digits excluding the last digit and checking whether it is a multiple of 139.
Divisibility Rule of 139 Examples
Problem 1
Is 278 divisible by 139?
Yes, 278 is divisible by 139.
Explanation
To check the divisibility, use the rule for 139:
1) Double the last digit of the number, 8 × 2 = 16.
2) Subtract this result from the remaining digits, excluding the last digit, 27 - 16 = 11.
3) Check if 11 is a multiple of 139; since 11 is not a multiple of 139, the process needs reassessment. However, 278 divided by 139 equals 2, so it is divisible directly.
Problem 2
Check the divisibility rule of 139 for 417.
No, 417 is not divisible by 139.
Explanation
To verify using the divisibility rule of 139:
1) Double the last digit, 7 × 2 = 14.
2) Subtract this result from the rest of the number, 41 - 14 = 27.
3) Since 27 is not a multiple of 139, 417 is not divisible by 139.
Problem 3
Is -556 divisible by 139?
Yes, -556 is divisible by 139.
Explanation
Checking divisibility for a negative number:
1) Remove the negative sign and double the last digit, 6 × 2 = 12.
2) Subtract the result from the remaining number, 55 - 12 = 43.
3) Since 43 is not a multiple of 139, directly checking gives -556 divided by 139 equals -4, confirming divisibility.
Problem 4
Can 695 be divisible by 139 using its divisibility rule?
No, 695 isn't divisible by 139.
Explanation
Check divisibility by the rule:
1) Double the last digit, 5 × 2 = 10.
2) Subtract from the rest, 69 - 10 = 59.
3) 59 is not a multiple of 139, confirming 695 is not divisible by 139.
Problem 5
Check the divisibility rule of 139 for 8342.
No, 8342 is not divisible by 139.
Explanation
Apply the rule:
1) Double the last digit, 2 × 2 = 4.
2) Subtract from the rest of the number, 834 - 4 = 830.
3) 830 is not a multiple of 139, indicating 8342 is not divisible by 139.
FAQs on Divisibility Rule of 139
1.What is the divisibility rule for 139?
2.How many numbers are there between 1 and 1000 that are divisible by 139?
3.Is 556 divisible by 139?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 139 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 139?
7.What are some fun ways kids in United States can practice Divisibility Rule of 139 with numbers?
8.What role do numbers and Divisibility Rule of 139 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 139 skills?
Important Glossaries for Divisibility Rule of 139
- 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 139 if it follows the specific steps mentioned in the rule.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 139 are 139, 278, 417, 556, etc.
- Integers: Integers are the numbers that include all 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.
- Verification: The process of confirming if a number is divisible by another by rechecking or using an alternative method like 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.
