120 LearnersLast updated on May 26th, 2025
Divisibility Rule of 577
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 577.
What is the Divisibility Rule of 577?
The divisibility rule for 577 is a method by which we can find out if a number is divisible by 577 or not without using the division method. Check whether 346879 is divisible by 577 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2, here in 346879, 9 is the last digit; multiply it by 2. 9 × 2 = 18.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 34687 - 18 = 34669.
Step 3: Repeat the process until you get a smaller number that you can quickly check for divisibility by 577. Since the manual process for 577 is not straightforward, it is often advisable to use alternative methods, such as direct division for verification.
Tips and Tricks for Divisibility Rule of 577
Learn divisibility rules to help master division. Let’s learn a few tips and tricks for the divisibility rule of 577.
- Know the multiples of 577: Memorize the multiples of 577 (577, 1154, 1731, 2308, 2885…etc.) to quickly check divisibility.
- Use larger calculations for large numbers: For very large numbers, it may be practical to use a calculator or computer to check divisibility, as manual checks for large divisors can be cumbersome.
- 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 577
The divisibility rule for 577 helps us to quickly check if a given number is divisible by 577, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will outline some common mistakes and how to avoid them.
Mistake 1
Incorrect multiplication of the last digit.
Ensure accurate multiplication of the last digit by 2.
Mistake 2
Incorrect subtraction of the result from the remaining number.
Carefully subtract the computed product from the rest of the number, excluding the last digit.
Mistake 3
Misidentifying divisibility without verification.
Always verify the final result with division to confirm divisibility.
Mistake 4
Confusing the steps.
Practice regularly to commit the steps to memory and avoid confusion.
Mistake 5
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Divisibility Rule of 577 Examples
Problem 1
Is 1731 divisible by 577?
Yes, 1731 is divisible by 577.
Explanation
To check if 1731 is divisible by 577, we use the divisibility rule for 577.
1) Multiply the last three digits of the number by a factor related to 577's modular inverse, for example, 731 × 2 = 1462.
2) Subtract the result from the remaining digits of the number, 1 – 1462 = -1461.
3) Check if the result is a multiple of 577. Yes, -1461 (divided by 577) leaves no remainder.
Problem 2
Determine if 3462 is divisible by 577.
No, 3462 is not divisible by 577.
Explanation
To check if 3462 is divisible by 577, follow these steps:
1) Multiply the last three digits, 462, by a factor based on 577's divisibility, 462 × 2 = 924.
2) Subtract this from the remaining digits, 3 – 924 = -921.
3) Check if -921 is a multiple of 577. No, it is not (as 921 divided by 577 leaves a remainder).
Problem 3
Is 2885 divisible by 577?
No, 2885 is not divisible by 577.
Explanation
To check divisibility, use the following method:
1) Multiply the last three digits, 885, by a factor related to 577, 885 × 2 = 1770.
2) Subtract from the remaining digits, 2 – 1770 = -1768.
3) Verify if -1768 is divisible by 577. It is not (as -1768 divided by 577 leaves a remainder).
Problem 4
Can 1154 be divisible by 577 using the divisibility rule?
Yes, 1154 is divisible by 577.
Explanation
Follow these steps to check:
1) Multiply the last three digits, 154, by a factor related to 577's divisibility, 154 × 2 = 308.
2) Subtract this from the remaining digits, 1 – 308 = -307.
3) Check if -307 is a multiple of 577. Yes, it is (as -307 divided by 577 leaves no remainder).
Problem 5
Is 692 divisible by 577?
No, 692 is not divisible by 577.
Explanation
To determine divisibility, follow these steps:
1) Multiply the last three digits, 692, by a factor based on 577, 692 × 2 = 1384.
2) Subtract this from the remaining digits (which are zero in this case), 0 – 1384 = -1384.
3) Check if -1384 is a multiple of 577. No, it is not (as -1384 divided by 577 leaves a remainder).
FAQs on Divisibility Rule of 577
1.What is the divisibility rule for 577?
2.How many numbers are there between 1 and 1000 that are divisible by 577?
3.Is 1154 divisible by 577?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 577 apply to all integers?
6.How can children in Saudi Arabia use numbers in everyday life to understand Divisibility Rule of 577?
7.What are some fun ways kids in Saudi Arabia can practice Divisibility Rule of 577 with numbers?
8.What role do numbers and Divisibility Rule of 577 play in helping children in Saudi Arabia develop problem-solving skills?
9.How can families in Saudi Arabia create number-rich environments to improve Divisibility Rule of 577 skills?
Important Glossaries for Divisibility Rule of 577.
- Divisibility Rule: A set of guidelines used to determine if one number is divisible by another without performing division.
- Multiples: The results obtained by multiplying a number by integers. For example, multiples of 577 are 577, 1154, 1731, etc.
- Integers: Whole numbers, including negative numbers, positive numbers, and zero.
- Subtraction: The process of finding the difference between two numbers by reducing one number from another.
- Verification: The process of checking or proving the accuracy of a calculation, often using division to confirm divisibility.
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About BrightChamps in Saudi Arabia
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.
