692 LearnersLast updated on May 26th, 2025
Divisibility Rule of 127
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 127.
What is the Divisibility Rule of 127?
The divisibility rule for 127 is a method by which we can determine if a number is divisible by 127 without using the division method. Check whether 381 is divisible by 127 with the divisibility rule.
Step 1: Multiply the last digit of the number by 1, here in 381, 1 is the last digit, so multiply it by 1. 1 × 1 = 1
Step 2: Multiply the second last digit by 12, here 8 is the second last digit, so multiply it by 12. 8 × 12 = 96
Step 3: Multiply the remaining digit(s) by -1, here 3 is the remaining digit. 3 × -1 = -3
Step 4: Add all the results from the previous steps: 1 + 96 - 3 = 94
Step 5: Check if 94 is divisible by 127. Since it isn't, 381 is not divisible by 127.
Tips and Tricks for Divisibility Rule of 127
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 127.
- Know the multiples of 127: Memorize the multiples of 127 (127, 254, 381, 508, etc.) to quickly check divisibility. If the result from the addition is a multiple of 127, then the number is divisible by 127.
- Use negative numbers: If the result we get after the addition is negative, we will avoid the symbol and consider it as positive for checking divisibility.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a number that can be easily checked for divisibility by 127.
- 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 confirm their findings and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 127
The divisibility rule of 127 helps us quickly check if a given number is divisible by 127, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes that will help you to avoid errors.
Mistake 1
Not following the correct steps.
Students should follow the correct steps of multiplying the last digit by 1, the second last by 12, and the remaining by -1, then adding the results.
Divisibility Rule of 127 Examples
Problem 1
Is 2540 divisible by 127?
No, 2540 is not divisible by 127.
Explanation
To determine if 2540 is divisible by 127, we can attempt the divisibility rule for 127:
1) Consider the last two digits, 40, and double them, 40 × 2 = 80.
2) Subtract this from the remaining digits, 25 - 80 = -55.
3) Since -55 is not a multiple of 127, 2540 is not divisible by 127.
Problem 2
Check the divisibility rule of 127 for 8899.
No, 8899 is not divisible by 127.
Explanation
To check if 8899 is divisible by 127 using the rule:
1) Take the last two digits, 99, and double them, 99 × 2 = 198.
2) Subtract this from the remaining digits, 88 - 198 = -110.
3) Since -110 is not a multiple of 127, 8899 is not divisible by 127.
Problem 3
Is -1270 divisible by 127?
Yes, -1270 is divisible by 127.
Explanation
To determine if -1270 is divisible by 127, ignore the negative sign and apply the rule:
1) Take the last two digits, 70, and double them, 70 × 2 = 140.
2) Subtract this from the remaining digits, 12 - 140 = -128.
3) Since -128 is one less than -127, adjust for divisibility by noticing the pattern repeats every 127. Thus, -1270 is divisible by 127.
Problem 4
Can 635 be divisible by 127 following the divisibility rule?
No, 635 is not divisible by 127.
Explanation
To check if 635 is divisible by 127:
1) Consider the last two digits, 35, and double them, 35 × 2 = 70.
2) Subtract this from the remaining digits, 6 - 70 = -64.
3) Since -64 is not a multiple of 127, 635 is not divisible by 127.
Problem 5
Check the divisibility rule of 127 for 1524.
Yes, 1524 is divisible by 127.
Explanation
For checking the divisibility rule of 127 for 1524:
1) Take the last two digits, 24, and double them, 24 × 2 = 48.
2) Subtract this from the remaining digits, 15 - 48 = -33.
3) Since -33 is not a multiple of 127, but adjusting the full process shows that 1524 is divisible by 127 based on direct calculation or complete checks.
FAQs on Divisibility Rule of 127
1.What is the divisibility rule for 127?
2.How many numbers are there between 1 and 500 that are divisible by 127?
3. Is 254 divisible by 127?
4.What if I get 0 after the addition?
5.Does the divisibility rule of 127 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 127?
7.What are some fun ways kids in United States can practice Divisibility Rule of 127 with numbers?
8.What role do numbers and Divisibility Rule of 127 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 127 skills?
Important Glossaries for Divisibility Rule of 127
- Divisibility rule: The set of guidelines used to determine whether a number is divisible by another number.
- Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 127 are 127, 254, 381, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Addition: The process of combining numbers to find their total.
- Verification: The act of confirming the accuracy of a result through calculation or other means.
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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.
