145 LearnersLast updated on May 26th, 2025
Divisibility Rule of 831
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 831.
What is the Divisibility Rule of 831?
The divisibility rule for 831 is a method by which we can find out if a number is divisible by 831 or not without using the division method. Check whether 1662 is divisible by 831 with the divisibility rule.
Step 1: Split the number into two parts, the first part being the last three digits of the number and the second part being the remaining digits. For 1662, the first part is 662, and the second part is 1.
Step 2: Check if both parts, 662 and 1, respectively, are divisible by 831. Since 1662 is not obviously divisible without further division, we might need to use the direct division method to confirm.
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Tips and Tricks for Divisibility Rule of 831
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 831.
Know the multiples of 831:
Memorize the multiples of 831 (831, 1662, 2493, etc.) to quickly check divisibility. If a number matches these multiples, it is divisible by 831.
Use the division method for confirmation:
Since 831 is a large number, using the division method might be necessary to confirm divisibility for most numbers.
Common Mistakes and How to Avoid Them in Divisibility Rule of 831
The divisibility rule of 831 helps us quickly check if a given number is divisible by 831, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you.
Mistake 1
Not following the correct steps.
Ensure the number is split correctly into its components and that each part is checked for divisibility.
Mistake 2
Confusing parts of the number.
Clearly differentiate the last three digits from the rest of the number to avoid confusion.
Mistake 3
Relying solely on mental math for large numbers.
Use a calculator or the division method to confirm divisibility for accuracy.
Mistake 4
Forgetting to check both parts of the number.
Always verify both split parts of the number for divisibility by 831.
Mistake 5
Overlooking the need for confirmation.
Use the division method as a final verification step.
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Divisibility Rule of 831 Examples
Problem 1
Is 2493 divisible by 831?
Yes, 2493 is divisible by 831.
Explanation
To check the divisibility of 2493 by 831, we follow a unique process:
1) Divide 2493 by 831 directly.
2) If the result is a whole number, then 2493 is divisible by 831.
3) 2493 ÷ 831 = 3, which is a whole number, so 2493 is divisible by 831.
Problem 2
Check the divisibility rule of 831 for 4986.
Yes, 4986 is divisible by 831.
Explanation
To verify if 4986 is divisible by 831:
1) Perform the division of 4986 by 831.
2) If the quotient is an integer, then it is divisible.
3) 4986 ÷ 831 = 6, which is an integer, confirming divisibility.
Problem 3
Is 1662 divisible by 831?
Yes, 1662 is divisible by 831.
Explanation
To determine if 1662 is divisible by 831:
1) Check through division of 1662 by 831.
2) If the result is a whole number, then it is divisible.
3) 1662 ÷ 831 = 2, which is a whole number, indicating divisibility.
Problem 4
Can 1245 be divisible by 831?
No, 1245 is not divisible by 831.
Explanation
To assess if 1245 is divisible by 831:
1) Divide 1245 by 831.
2) Verify if the quotient is an integer.
3) 1245 ÷ 831 = 1.497, which is not an integer, so it is not divisible.
Problem 5
Check the divisibility rule of 831 for 7479.
Yes, 7479 is divisible by 831.
Explanation
To confirm if 7479 is divisible by 831:
1) Divide 7479 by 831.
2) Check if the quotient is a whole number.
3) 7479 ÷ 831 = 9, which is a whole number, affirming divisibility.
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FAQs on Divisibility Rule of 831
1.What is the divisibility rule for 831?
2.How many numbers between 1 and 5000 are divisible by 831?
3. Is 1662 divisible by 831?
4.What if I get 0 after subtraction in other divisibility rule checks?
5.Does the divisibility rule of 831 apply to all integers?
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Important Glossaries for Divisibility Rule of 831
- Divisibility rule: A set of guidelines to determine if one number can be evenly divided by another without performing division.
- Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 831 are 831, 1662, 2493, etc.
- Integers: Whole numbers that include positive numbers, negative numbers, and zero.
- Division method: The process of dividing a number by another to verify divisibility.
- Subtraction: The process of finding the difference between two numbers, often used in various divisibility rules.
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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.
