173 LearnersLast updated on May 26th, 2025
Divisibility Rule of 813
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 813.
What is the Divisibility Rule of 813?
The divisibility rule for 813 is a method by which we can find out if a number is divisible by 813 or not without using the division method. Check whether 2439 is divisible by 813 with the divisibility rule.
Step 1: Break down the rule by checking divisibility with its individual prime factors. The prime factors of 813 are 3, 271.
Step 2: Apply the divisibility rule for 3: Add up all the digits of the number. If their sum is divisible by 3, the number is divisible by 3. For 2439, the sum is 2+4+3+9=18, which is divisible by 3.
Step 3: Check divisibility by 271. This requires division or checking for known multiples of 271, as there is no simple rule.
Step 4: If the number passes both checks (divisible by 3 and 271), it is divisible by 813. Since 2439 divided by 271 gives an integer, 2439 is divisible by 813.
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Tips and Tricks for Divisibility Rule of 813
Learn divisibility rules to help master division. Let’s learn a few tips and tricks for the divisibility rule of 813.
Know the multiples of 271:
Memorize the multiples of 271 (271, 542, 813, etc.) to quickly check divisibility. If a number is divisible by 271 after checking, then it is divisible by 813 if it also meets the rule for 3.
Use divisibility rules separately:
Use the rule for 3 first, as it is simpler, then confirm with the rule for 271 or direct division.
Repeat the process for large numbers:
Repeat the divisibility checks for each factor to ensure the number is divisible by both, especially for larger numbers.
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 to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 813
The divisibility rule of 813 helps us to quickly check if the given number is divisible by 813, 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 that involve checking divisibility by both 3 and 271.
Mistake 2
Only checking divisibility by 3 or 271.
Ensure both conditions are met, as a number must be divisible by both to be divisible by 813.
Mistake 3
Not using known multiples for 271.
Familiarize with multiples of 271 for easier checking.
Mistake 4
Confusing the steps.
Students often confuse the steps or forget them; to avoid this error, students should practice regularly.
Mistake 5
Not considering the negative values.
Students might ignore negative values thinking divisibility rules don't apply to negative numbers. But the divisibility rule is applicable for negative values too. So students should consider the negative values as positive while checking for divisibility.
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Divisibility Rule of 813 Examples
Problem 1
Is 2439 divisible by 813?
No, 2439 is not divisible by 813.
Explanation
To check divisibility by 813, we follow these steps:
1) Divide 2439 by 813 directly.
2) 2439 ÷ 813 ≈ 3, but the remainder is not zero.
3) Since there is a remainder, 2439 is not divisible by 813.
Problem 2
Check the divisibility rule of 813 for 1626.
Yes, 1626 is divisible by 813.
Explanation
To verify, follow these steps:
1) Divide 1626 by 813 directly.
2) 1626 ÷ 813 = 2, and the remainder is zero.
3) Since there is no remainder, 1626 is divisible by 813.
Problem 3
Is -4065 divisible by 813?
No, -4065 is not divisible by 813.
Explanation
For negative numbers, disregard the sign and check divisibility:
1) Divide 4065 by 813 directly.
2) 4065 ÷ 813 ≈ 5, but the remainder is not zero.
3) Since there is a remainder, -4065 is not divisible by 813.
Problem 4
Can 0 be divisible by 813 following the divisibility rule?
Yes, 0 is divisible by 813.
Explanation
Zero is divisible by any non-zero number:
1) Divide 0 by 813.
2) 0 ÷ 813 = 0, with a remainder of zero.
3) Since the remainder is zero, 0 is divisible by 813.
Problem 5
Check the divisibility rule of 813 for 8130.
Yes, 8130 is divisible by 813.
Explanation
To check divisibility by 813:
1) Divide 8130 by 813 directly.
2) 8130 ÷ 813 = 10, and the remainder is zero.
3) Since there is no remainder, 8130 is divisible by 813.
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FAQs on Divisibility Rule of 813
1.What is the divisibility rule for 813?
2.How many numbers are there between 1 and 1000 that are divisible by 813?
3.Is 1626 divisible by 813?
4.What if I get 0 after checking divisibility with prime factors?
5.Does the divisibility rule of 813 apply to all integers?
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Important Glossaries for Divisibility Rule of 813.
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Prime factors: The prime numbers that multiply together to make a composite number.
- Multiple: A product of a number and an integer.
- Sum of digits: The result of adding all the digits of a number.
- Integer: A whole number that can be positive, negative, or zero.
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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.
