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 809.
The divisibility rule for 809 is a method by which we can determine if a number is divisible by 809 without using the division method. Check whether 1618 is divisible by 809 with the divisibility rule.
Step 1: Double the last digit of the number, here in 1618, 8 is the last digit, so double it. 8 × 2 = 16
Step 2: Subtract the result from Step 1 from the remaining values, excluding the last digit. That is, 161 – 16 = 145.
Step 3: As 145 is not a multiple of 809, the number is not divisible by 809. If the result from step 2 is a multiple of 809, then the number is divisible by 809.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 809.
Memorize the multiples of 809 (809, 1618, 2427, 3236…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 809, then the number is divisible by 809.
If the result we get after the subtraction is negative, we will consider the absolute value for checking the divisibility of a number.
Students should keep repeating the divisibility process until they reach a small number that is divisible by 809.
For example: Check if 4845 is divisible by 809 using the divisibility test.
Double the last digit, i.e., 5 × 2 = 10
Subtract 10 from the remaining digits excluding the last digit, 484 – 10 = 474
Still, 474 is not a multiple of 809, so 4845 is not divisible by 809.
Students can use the division method as a way to verify and cross-check their results. This will help them verify and learn.
The divisibility rule of 809 helps us quickly check if the given number is divisible by 809, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you avoid them.
Is 8090 divisible by 809?
Yes, 8090 is divisible by 809.
To check if 8090 is divisible by 809, we can use the fact that it is a multiple of 809 (8090 = 809 x 10). Therefore, 8090 is divisible by 809.
Check the divisibility rule of 809 for 1618.
Yes, 1618 is divisible by 809.
Since 1618 is exactly twice 809 (1618 = 809 x 2), it is divisible by 809.
Is -2427 divisible by 809?
Yes, -2427 is divisible by 809.
To check if -2427 is divisible by 809, we remove the negative sign and check 2427. Since 2427 is exactly 3 times 809 (2427 = 809 x 3), it is divisible by 809.
Can 324 be divisible by 809 following the divisibility rule?
No, 324 is not divisible by 809.
Since 324 is less than 809 and does not equal 0 when divided by 809, it is not divisible by 809.
Check the divisibility rule of 809 for 6480.
No, 6480 is not divisible by 809.
Dividing 6480 by 809 gives a non-integer result, indicating 6480 is not divisible by 809.
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.