Last updated on May 26th, 2025
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.
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.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule 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.
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.
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.
Students can use the division method as a way to verify and cross-check their results. This will help them verify and also learn.
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.
Is 831 divisible by 277?
Yes, 831 is divisible by 277.
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.
Check the divisibility rule of 277 for 1108.
No, 1108 is not divisible by 277.
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.
Is 2770 divisible by 277?
Yes, 2770 is divisible by 277.
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.
Can 555 be divisible by 277 following the divisibility rule?
No, 555 isn't divisible by 277.
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.
Check the divisibility rule of 277 for 1385.
Yes, 1385 is divisible by 277.
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.
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.
: She loves to read number jokes and games.