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 803.
The divisibility rule for 803 is a method by which we can find out if a number is divisible by 803 or not without using the division method. Check whether 1606 is divisible by 803 with the divisibility rule.
Step 1: Multiply the last digit of the number by 3, here in 1606, 6 is the last digit, multiply it by 3. 6 × 3 = 18
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 160–18 = 142.
Step 3: As it is shown that 142 is not a multiple of 803, therefore, the number is not divisible by 803. If the result from step 2 is a multiple of 803, then the number is divisible by 803.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 803.
Memorize the multiples of 803 (803, 1606, 2409, 3212, 4015…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 803, then the number is divisible by 803.
If the result we get after the subtraction is negative, we will avoid the symbol and consider it as positive for checking the divisibility of a number.
Students should keep repeating the divisibility process until they reach a small number that is divisible by 803.
For example: Check if 4824 is divisible by 803 using the divisibility test.
Multiply the last digit by 3, i.e., 4 × 3 = 12.
Subtract the remaining digits excluding the last digit by 12, 482–12 = 470.
Still, 470 is a large number, hence we will repeat the process again and multiply the last digit by 3, 0 × 3 = 0.
Now subtracting 0 from the remaining numbers excluding the last digit, 47–0 = 47.
As 47 is not a multiple of 803, 4824 is not divisible by 803.
Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn.
The divisibility rule of 803 helps us to quickly check if the given number is divisible by 803, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you avoid them.
Is 1606 divisible by 803?
Yes, 1606 is divisible by 803.
To check if 1606 is divisible by 803, divide the number directly.
1) Calculate 1606 ÷ 803 = 2.
2) Since the result is an integer, 1606 is divisible by 803.
Check the divisibility rule of 803 for 2409.
Yes, 2409 is divisible by 803.
For checking the divisibility rule of 803 for 2409, divide the number directly.
1) Calculate 2409 ÷ 803 = 3.
2) Since the result is an integer, 2409 is divisible by 803.
Is 3212 divisible by 803?
No, 3212 is not divisible by 803.
To check if 3212 is divisible by 803, divide the number directly.
1) Calculate 3212 ÷ 803 ≈ 4.
2) The result is not an exact integer, meaning 3212 is not divisible by 803.
Can 4015 be divisible by 803 following the divisibility rule?
No, 4015 isn't divisible by 803.
To check if 4015 is divisible by 803, divide the number directly.
1) Calculate 4015 ÷ 803 ≈ 5.
2) The result is not an exact integer, so 4015 isn't divisible by 803.
Check the divisibility rule of 803 for 4826.
Yes, 4826 is divisible by 803.
To check the divisibility rule of 803 for 4826, divide the number directly.
1) Calculate 4826 ÷ 803 = 6.
2) Since the result is an integer, 4826 is divisible by 803.
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.