Last updated on May 26th, 2025
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.
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.
Learn divisibility rules to help master division. Let’s learn a few tips and tricks for the divisibility rule of 813.
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 the rule for 3 first, as it is simpler, then confirm with the rule for 271 or direct division.
Repeat the divisibility checks for each factor to ensure the number is divisible by both, especially for larger numbers.
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.
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.
Is 2439 divisible by 813?
No, 2439 is not divisible by 813.
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.
Check the divisibility rule of 813 for 1626.
Yes, 1626 is divisible by 813.
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.
Is -4065 divisible by 813?
No, -4065 is not divisible by 813.
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.
Can 0 be divisible by 813 following the divisibility rule?
Yes, 0 is divisible by 813.
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.
Check the divisibility rule of 813 for 8130.
Yes, 8130 is divisible by 813.
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.
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.
: She loves to read number jokes and games.