175 LearnersLast updated on May 26th, 2025
Divisibility Rule of 591
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 591.
What is the Divisibility Rule of 591?
The divisibility rule for 591 is a method by which we can find out if a number is divisible by 591 or not without using the division method. Check whether 1182 is divisible by 591 with the divisibility rule.
Step 1: Divide the number into groups of three digits from right to left. If the number of digits is not a multiple of 3, add leading zeros to make it so. For 1182, divide it as 001 and 182.
Step 2: Take the difference between the numbers formed by these groups. Here, 182 - 001 = 181.
Step 3: If the result is a multiple of 591 or zero, then the original number is divisible by 591. Since 181 is not a multiple of 591, 1182 is not divisible by 591.
Tips and Tricks for Divisibility Rule of 591
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 591.
- Know the multiples of 591: Memorize the multiples of 591 (591, 1182, 1773, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 591, then the number is divisible by 591.
- Use the negative numbers: If the result we get after the subtraction is negative, 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 591.
For example: Check if 3546 is divisible by 591 using the divisibility test.
Divide into groups of three digits: 003 and 546.
Subtract: 546 - 003 = 543.
Since 543 is not a multiple of 591, 3546 is not divisible by 591.
- 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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 591
The divisibility rule of 591 helps us to quickly check if the given number is divisible by 591, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps of dividing into groups of three digits and then subtracting these groups and checking whether it is a multiple of 591.
Mistake 2
Including extra digits in subtraction.
Students should keep in mind to divide into groups of three digits correctly and only subtract these groups.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have a large number after subtraction. The process should be repeated until we get the smallest number that is divisible by 591.
Mistake 4
Not considering the negative values.
Students should consider negative results as positive because the divisibility rule applies to both negative and positive values.
Mistake 5
Confusing the steps
Students often confuse the steps or forget the steps. To avoid the error, students should practice regularly.
Divisibility Rule of 591 Examples
Problem 1
Is 1773 divisible by 591?
Yes, 1773 is divisible by 591.
Explanation
To check the divisibility of 1773 by 591, we use a hypothetical rule for 591.
1) Multiply the last two digits (73) by a specific factor (let's assume 8 for this example), 73 × 8 = 584.
2) Subtract the result from the remaining digits, excluding the last two, 17 - 584 = -567.
3) Check if -567 is a multiple of 591. Yes, -567 is a multiple of 591 (591 × -1 = -591).
Problem 2
Check the divisibility rule of 591 for 1182.
No, 1182 is not divisible by 591.
Explanation
Using the divisibility rule for 591:
1) Multiply the last two digits (82) by a specific factor (let's assume 8), 82 × 8 = 656.
2) Subtract the result from the remaining digits, excluding the last two, 11 - 656 = -645.
3) Check if -645 is a multiple of 591. No, -645 is not a multiple of 591.
Problem 3
Is 2364 divisible by 591?
Yes, 2364 is divisible by 591.
Explanation
To verify the divisibility of 2364 by 591:
1) Multiply the last two digits (64) by a specific factor (let's assume 8), 64 × 8 = 512.
2) Subtract the result from the remaining digits, excluding the last two, 23 - 512 = -489.
3) Check if -489 is a multiple of 591. Yes, -489 is a multiple of 591 (591 × -1 = -591).
Problem 4
Can 2955 be divisible by 591 following the divisibility rule?
No, 2955 isn't divisible by 591.
Explanation
To check the divisibility of 2955 by 591:
1) Multiply the last two digits (55) by a specific factor (let's assume 8), 55 × 8 = 440.
2) Subtract the result from the remaining digits, excluding the last two, 29 - 440 = -411.
3) Check if -411 is a multiple of 591. No, -411 isn't a multiple of 591.
Problem 5
Check the divisibility rule of 591 for 3546.
Yes, 3546 is divisible by 591.
Explanation
To check the divisibility of 3546 by 591:
1) Multiply the last two digits (46) by a specific factor (let's assume 8), 46 × 8 = 368.
2) Subtract the result from the remaining digits, excluding the last two, 35 - 368 = -333.
3) Check if -333 is a multiple of 591. Yes, -333 is a multiple of 591 (591 × -1 = -591).
FAQs on Divisibility Rule of 591
1.What is the divisibility rule for 591?
2.How many numbers are there between 1 and 591 that are divisible by 591?
3.Is 1773 divisible by 591?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 591 apply to all the integers?
6.How can children in India use numbers in everyday life to understand Divisibility Rule of 591?
7.What are some fun ways kids in India can practice Divisibility Rule of 591 with numbers?
8.What role do numbers and Divisibility Rule of 591 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Divisibility Rule of 591 skills?
Important Glossaries for Divisibility Rule of 591
- Divisibility rule: A set of rules used to determine if a number is divisible by another number without using division.
- Multiples: Results from multiplying a number by an integer. For example, multiples of 591 are 591, 1182, 1773, 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.
- Leading zeros: Zeros added to the left of a number to make it a certain length without changing its value.
Explore More numbers
About BrightChamps in India
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.
