209 LearnersLast updated on May 26th, 2025
Divisibility Rule of 491
The divisibility rule is a way to determine 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 491.
What is the Divisibility Rule of 491?
The divisibility rule for 491 is a method by which we can find out if a number is divisible by 491 or not without using the division method. Check whether 2455 is divisible by 491 with the divisibility rule.
Step 1: Calculate the number formed by the last three digits of the number. Here, in 2455, the last three digits form 455.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last three digits. i.e., 2–455 = -453.
Step 3: If the result from step 2 is a multiple of 491, then the number is divisible by 491. If not, the number isn't divisible by 491.
Tips and Tricks for Divisibility Rule of 491
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 491.
- Know the multiples of 491: Memorize the multiples of 491 (491, 982, 1473, 1964, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 491, then the number is divisible by 491.
- Use the negative numbers: If the result we get after the subtraction is negative, consider its absolute value 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 491. For example, check if 9820 is divisible by 491 using the divisibility test. The last three digits form 820. Subtract 820 from the remaining digits, which is 9 – 820 = -811. Since -811 is not a multiple of 491, 9820 is not divisible by 491.
- 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 491
The divisibility rule of 491 helps us quickly check if a given number is divisible by 491, 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 by forming the number with the last three digits and then subtracting it from the remaining digits.
Mistake 2
Including the last three digits in subtraction.
Students should not include the last three digits while subtracting; only use the remaining digits.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after obtaining a large number. The process should be repeated until the smallest possible number is reached.
Mistake 4
Not considering the negative values.
Students should consider the absolute value of negative results while checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse or forget the steps. Regular practice can help avoid this error.
Divisibility Rule of 491 Examples
Problem 1
Is 982 divisible by 491?
No, 982 is not divisible by 491.
Explanation
To check divisibility by 491, let's use a unique method for this context.
1) Consider splitting the number in half and subtracting the smaller half from the larger half. Here, 98 - 82 = 16.
2) Check if 16 is divisible by 491. No, 16 is not divisible by 491.
Thus, 982 is not divisible by 491.
Problem 2
Determine if 2455 is divisible by 491.
No, 2455 is not divisible by 491.
Explanation
To check for divisibility by 491, we can use this method:
1) Divide the number into two parts: 24 and 55.
2) Subtract the sum of the digits of the second part from the first part, 24 - (5 + 5) = 14.
3) Check if 14 is divisible by 491. No, 14 is not divisible by 491.
Therefore, 2455 is not divisible by 491.
Problem 3
Is -1473 divisible by 491?
Yes, -1473 is divisible by 491.
Explanation
To check if -1473 is divisible by 491, we remove the negative sign and apply the method:
1) Split the number into two parts: 147 and 3.
2) Subtract the sum of the digits of the second part from the first part, 147 - 3 = 144.
3) Check if 144 is divisible by 491. Yes, 1473 divided by 491 equals 3, which is an integer quotient.
Thus, -1473 is divisible by 491.
Problem 4
Can 343 be divisible by 491 following this divisibility method?
No, 343 is not divisible by 491.
Explanation
To check if 343 is divisible by 491:
1) Split the number into two parts: 34 and 3.
2) Subtract the sum of the digits of the second part from the first part, 34 - 3 = 31.
3) Check if 31 is divisible by 491. No, 31 is not divisible by 491.
Therefore, 343 is not divisible by 491.
Problem 5
Check the divisibility rule of 491 for 9820.
No, 9820 is not divisible by 491.
Explanation
To check the divisibility of 9820 by 491:
1) Consider the first three digits as one number and the last digit separately: 982 and 0.
2) Subtract the last digit from the first three digits, 982 - 0 = 982.
3) Check if 982 is divisible by 491. No, 982 divided by 491 equals 2, but with a remainder.
Thus, 9820 is not divisible by 491.
FAQs on Divisibility Rule of 491
1.What is the divisibility rule for 491?
2.How many numbers are there between 1 and 5000 that are divisible by 491?
3.Is 2455 divisible by 491?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 491 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 491?
7.What are some fun ways kids in United States can practice Divisibility Rule of 491 with numbers?
8.What role do numbers and Divisibility Rule of 491 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 491 skills?
Important Glossary for Divisibility Rule of 491
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 491 are 491, 982, 1473, etc.
- Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is the process of finding the difference between two numbers by reducing one number from another.
- Absolute value: The absolute value of a number is its non-negative value without regard to its sign.
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About BrightChamps in United States
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.
