Divisibility Rule of 810

The divisibility rule for 810 is a method by which we can find out if a number is divisible by 810 or not without using the division method. Check whether 1620 is divisible by 810 with the divisibility rule.

Step 1: Check divisibility by 2, 3, and 5 because 810 = 2 × 3^2 × 5.

A number is divisible by 2 if its last digit is even. (The last digit of 1620 is 0, which is even.)
A number is divisible by 3 if the sum of its digits is divisible by 3. (1 + 6 + 2 + 0 = 9, which is divisible by 3.)
A number is divisible by 5 if it ends in 0 or 5. (The last digit of 1620 is 0.)

Since 1620 is divisible by 2, 3, and 5, it is divisible by 810.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 810.

Know the prime factors:

Memorize the prime factors of 810 (2, 3, 5) to quickly check divisibility. If a number is divisible by 2, 3, and 5, it is divisible by 810.

Use the rule for large numbers:

For large numbers, break down the checks. Ensure divisibility by 2 (check the last digit), by 3 (sum the digits), and by 5 (check the last digit).

Repeat the process for larger numbers:

Students should repeat the divisibility process for each factor (2, 3, and 5) to ensure a number is divisible by 810.

Use the division method to verify:

Students can use the division method as a way to verify and crosscheck their results. This helps them verify and also learn.

• Divisibility rule: The set of rules used to determine whether a number is divisible by another number.

• Prime factors: Prime numbers that multiply to form the original number, such as 2, 3, and 5 for 810.

• Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 810 include 810, 1620, 2430, etc.

• Sum of digits: The total obtained by adding all the digits of a number, used to check divisibility by 3.

• Integer: A whole number that can be positive, negative, or zero, including numbers divisible by 810.