178 LearnersLast updated on May 26th, 2025
The Divisibility Rule of 581
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 581.
What is the Divisibility Rule of 581?
The divisibility rule for 581 is a method by which we can find out if a number is divisible by 581 or not without using the division method. Check whether 1162 is divisible by 581 using the divisibility rule.
Step 1: Double the last digit of the number, here in 1162, 2 is the last digit, double it. 2 × 2 = 4.
Step 2: Subtract the result from Step 1 from the remaining values, excluding the last digit. i.e., 116–4 = 112.
Step 3: Since 112 is not a multiple of 581, the number 1162 is not divisible by 581. If the result from Step 2 is a multiple of 581, then the number is divisible by 581.
Tips and Tricks for Divisibility Rule of 581
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 581.
- Know the multiples of 581: Memorize the multiples of 581 (581, 1162, 1743, ... etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 581, then the number is divisible by 581.
- 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 581.
For example: Check if 3486 is divisible by 581 using the divisibility test.
Double the last digit, i.e., 6 × 2 = 12. Subtract the remaining digits excluding the last digit by 12, 348–12 = 336.
Still, 336 is large, hence we will repeat the process again and double the last digit, 6 × 2 = 12.
Now subtracting 12 from the remaining numbers excluding the last digit, 33–12 = 21.
Since 21 is not a multiple of 581, 3486 is not divisible by 581.
- Use the division method to verify: Students can use the division method 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 581
The divisibility rule of 581 helps us quickly check if a given number is divisible by 581, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, which involve doubling the last digit and subtracting the result from the remaining digits, excluding the last digit, and checking if it's a multiple of 581.
Mistake 2
Including the last digit in subtraction.
Students 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 when they have a large number after subtraction. The process should be repeated until we get the smallest number that is divisible by 581.
Mistake 4
Not considering negative values.
Students may disregard negative values, thinking divisibility rules don't apply. But the divisibility rule is applicable for negative values too. Consider negative results as positive while checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget them. To avoid this error, practice regularly.
Divisibility Rule of 581 Examples
Problem 1
Is 1162 divisible by 581?
Yes, 1162 is divisible by 581.
Explanation
To check if 1162 is divisible by 581, we can use the divisibility rule for 581:
1) Divide the number by 581 directly, as 1162 ÷ 581 = 2.
2) The result is a whole number, indicating that 1162 is divisible by 581.
Problem 2
Check the divisibility rule of 581 for 3486.
Yes, 3486 is divisible by 581.
Explanation
To determine if 3486 is divisible by 581:
1) Divide the number by 581, resulting in 3486 ÷ 581 = 6.
2) The division yields a whole number, confirming that 3486 is divisible by 581.
Problem 3
Is 2905 divisible by 581?
No, 2905 is not divisible by 581.
Explanation
To verify if 2905 is divisible by 581:
1) Perform the division 2905 ÷ 581.
2) The result is not a whole number, indicating that 2905 is not divisible by 581.
Problem 4
Can 4648 be divisible by 581 following the divisibility rule?
Yes, 4648 is divisible by 581.
Explanation
To check the divisibility of 4648 by 581:
1) Divide 4648 by 581, which results in 4648 ÷ 581 = 8.
2) The result is a whole number, confirming that 4648 is divisible by 581.
Problem 5
Check the divisibility rule of 581 for 5810.
Yes, 5810 is divisible by 581.
Explanation
To determine if 5810 is divisible by 581:
1) Divide the number by 581, which gives 5810 ÷ 581 = 10.
2) The division results in a whole number, indicating that 5810 is divisible by 581.
FAQs on Divisibility Rule of 581
1.What is the divisibility rule for 581?
2.How many numbers are there between 1 and 2000 that are divisible by 581?
3.Is 1162 divisible by 581?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 581 apply to all integers?
6.How can children in Bahrain use numbers in everyday life to understand The Divisibility Rule of 581?
7.What are some fun ways kids in Bahrain can practice The Divisibility Rule of 581 with numbers?
8.What role do numbers and The Divisibility Rule of 581 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve The Divisibility Rule of 581 skills?
Important Glossary for Divisibility Rule of 581
- Divisibility rule: A set of rules used to find out whether a number is divisible by another number or not.
- Multiples: The results we get after multiplying a number by an integer. For example, multiples of 581 are 581, 1162, 1743, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: The process of finding the difference between two numbers by reducing one number from another.
- Double: Multiplying a number by 2.
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About BrightChamps in Bahrain
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.
