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.

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.

• 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.