197 LearnersLast updated on May 26th, 2025
Divisibility Rule of 277
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 277.
What is the Divisibility Rule of 277?
The divisibility rule for 277 is a method by which we can determine if a number is divisible by 277 without using the division method. Check whether 83081 is divisible by 277 using the divisibility rule.
Step 1: Multiply the last digit of the number by 2. Here in 83081, 1 is the last digit. Multiply it by 2. 1 × 2 = 2.
Step 2: Subtract the result from Step 1 from the remaining values, but do not include the last digit. i.e., 8308 - 2 = 8306.
Step 3: Repeat the above steps with the result until you determine its divisibility by 277. If a resulting number is a multiple of 277, then the original number is divisible by 277.
Tips and Tricks for Divisibility Rule of 277
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 277.
Know the multiples of 277:
Memorize the multiples of 277 (277, 554, 831, 1108, etc.) to quickly check for divisibility. If the result from the subtraction is a multiple of 277, then the number is divisible by 277.
Use the negative numbers:
If the result we get after subtraction is negative, we will ignore 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 277.
For example: Check if 49769 is divisible by 277 using the divisibility test.
Multiply the last digit by 2: 9 × 2 = 18.
Subtract the result from the remaining digits (excluding the last digit): 4976 - 18 = 4958.
Repeat: 4958 is still large, so multiply the last digit by 2: 8 × 2 = 16.
Now, subtract 16 from the remaining numbers: 495 - 16 = 479.
Since 479 is not a multiple of 277, 49769 is not divisible by 277.
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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 277
The divisibility rule of 277 helps us quickly check if a given number is divisible by 277, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, which are multiplying the last digit by 2 and then subtracting the result from the remaining digits, excluding the last digit, and checking whether it is a multiple of 277.
Mistake 2
Including the last digit in subtraction.
Students should keep in mind that they should exclude the last digit while subtracting and include all the remaining digits.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have a large number remaining after subtraction. The process should be repeated until we get the smallest number that is divisible by 277.
Mistake 4
Not considering the negative values.
Students consider negative values thinking divisibility rules don't apply to negative values. But divisibility rules are applicable for negative values too. So students should consider negative values as positive while checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse or forget the steps. To avoid errors, students should practice regularly.
Divisibility Rule of 277 Examples
Problem 1
Is 831 divisible by 277?
Yes, 831 is divisible by 277.
Explanation
To determine if 831 is divisible by 277, follow these steps:
1) Consider the number as a whole.
2) Divide 831 by 277, which results in exactly 3 with no remainder.
3) Since the division leaves no remainder, 831 is divisible by 277.
Problem 2
Check the divisibility rule of 277 for 1108.
No, 1108 is not divisible by 277.
Explanation
To check this, follow these steps:
1) Divide 1108 by 277, which results in approximately 4 with a remainder of 0.
2) Since there is no remainder, 1108 is divisible by 277.
Problem 3
Is 2770 divisible by 277?
Yes, 2770 is divisible by 277.
Explanation
To verify if 2770 is divisible by 277, follow these steps:
1) Consider the number as a whole.
2) Divide 2770 by 277, which results in exactly 10 with no remainder.
3) Since the division is exact, 2770 is divisible by 277.
Problem 4
Can 555 be divisible by 277 following the divisibility rule?
No, 555 isn't divisible by 277.
Explanation
To check if 555 is divisible by 277, proceed as follows:
1) Divide 555 by 277, which results in approximately 2 with a remainder.
2) Since there is a remainder, 555 is not divisible by 277.
Problem 5
Check the divisibility rule of 277 for 1385.
Yes, 1385 is divisible by 277.
Explanation
To verify this, follow these steps:
1) Divide 1385 by 277, which gives exactly 5 with no remainder.
2) As the division is exact with no remainder, 1385 is divisible by 277.
FAQs on Divisibility Rule of 277
1.What is the divisibility rule for 277?
2.How many numbers are there between 1 and 1000 that are divisible by 277?
3.Is 554 divisible by 277?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 277 apply to all integers?
6.How can children in Australia use numbers in everyday life to understand Divisibility Rule of 277?
7.What are some fun ways kids in Australia can practice Divisibility Rule of 277 with numbers?
8.What role do numbers and Divisibility Rule of 277 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Divisibility Rule of 277 skills?
Important Glossaries for Divisibility Rule of 277
- 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 an even number.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 277 are 277, 554, 831, 1108, 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: Verification is the process of confirming that the result obtained is correct by using another method, such as division, to check the answer.
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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.
