214 LearnersLast updated on May 26th, 2025
Divisibility Rule of 801
The divisibility rule is a way to determine whether a number is divisible by another number without performing the division method. In real life, we can use the divisibility rule for quick calculations, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 801.
What is the Divisibility Rule of 801?
The divisibility rule for 801 is a method by which we can find out if a number is divisible by 801 without using the division method. Check whether 2403 is divisible by 801 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2; here in 2403, 3 is the last digit, so multiply it by 2. 3 × 2 = 6
Step 2: Subtract the result from Step 1 from the remaining values, but do not include the last digit. i.e., 240–6 = 234.
Step 3: Repeat the process to ensure the number is small enough to check easily. Multiply the last digit of 234 by 2, 4 × 2 = 8. Subtract this from the remaining number, 23–8 = 15.
Step 4: Since 15 is not a multiple of 801, the original number 2403 is not divisible by 801. If the result from the repeated steps were 0 or a multiple of 801, the number would be divisible by 801.
Tips and Tricks for Divisibility Rule of 801
Learning the divisibility rule helps kids master division. Let’s learn a few tips and tricks for the divisibility rule of 801.
Know the multiple of 801:
Memorize the multiples of 801 (801, 1602, 2403, etc.) to quickly check divisibility. If the result from the subtraction process matches one of these multiples, the number is divisible by 801.
Use negative numbers:
If the result we get after subtraction is negative, we will ignore the symbol and consider it as positive for checking the divisibility of a number.
Repeat the process for large numbers:
Students should keep repeating the divisibility process until they reach a small number that is divisible by 801. For example, check if 4812 is divisible by 801 using the divisibility test. Multiply the last digit by 2, i.e., 2 × 2 = 4. Subtract the remaining digits excluding the last digit by 4, 481–4 = 477. Repeat the process: 7 × 2 = 14, 47–14 = 33. Since 33 is not a multiple of 801, 4812 is not divisible by 801.
Use the division method to verify:
Students can use the division method to verify and cross-check their results. This will help them verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 801
The divisibility rule of 801 helps us to quickly check if a given number is divisible by 801, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps of multiplying the last digit by 2 and then subtracting the result from the remaining digits excluding the last digit, checking if it is a multiple of 801.
Mistake 2
Including the last digit in subtraction.
Students should exclude the last digit while subtracting and include all the remaining digits.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after arriving at a large number from subtraction. The process should be repeated until a small number that is divisible by 801 is found.
Mistake 4
Not considering negative values.
Students may ignore negative values, thinking divisibility rules don't apply to them. The divisibility rule is applicable for negative values too. Students should consider negative values as positive while checking for divisibility.
Mistake 5
Confusing the steps
Students often confuse or forget the steps. To avoid errors, students should practice regularly.
Divisibility Rule of 801 Examples
Problem 1
Is 2403 divisible by 801?
Yes, 2403 is divisible by 801.
Explanation
To check if 2403 is divisible by 801, let's use the divisibility rule.
1) Divide 2403 by 801, the result is exactly 3 with no remainder.
2) Since there is no remainder, 2403 is divisible by 801.
Problem 2
Check the divisibility rule of 801 for 1602.
No, 1602 is not divisible by 801.
Explanation
To determine if 1602 is divisible by 801:
1) Divide 1602 by 801, the result is 2 with a remainder.
2) Since there is a remainder, 1602 is not divisible by 801.
Problem 3
Is 0 divisible by 801?
Yes, 0 is divisible by 801.
Explanation
Any number, including 0, is divisible by any non-zero number.
1) Divide 0 by 801, the result is 0.
2) Since the division results in 0 with no remainder, 0 is divisible by 801.
Problem 4
Can 3204 be divisible by 801 following the divisibility rule?
Yes, 3204 is divisible by 801.
Explanation
To check if 3204 is divisible by 801:
1) Divide 3204 by 801, the result is exactly 4 with no remainder.
2) Since there is no remainder, 3204 is divisible by 801.
Problem 5
Check the divisibility rule of 801 for 481.
No, 481 is not divisible by 801.
Explanation
To check if 481 is divisible by 801:
1) 481 is less than 801, and dividing 481 by 801 would result in a fraction.
2) Since 481 is less than 801 and does not divide evenly, it is not divisible by 801.
FAQs on Divisibility Rule of 801
1.What is the divisibility rule for 801?
2.How many numbers are there between 1 and 5000 that are divisible by 801?
3.Is 1602 divisible by 801?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 801 apply to all integers?
6.How can children in Singapore use numbers in everyday life to understand Divisibility Rule of 801?
7.What are some fun ways kids in Singapore can practice Divisibility Rule of 801 with numbers?
8.What role do numbers and Divisibility Rule of 801 play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve Divisibility Rule of 801 skills?
Important Glossaries for Divisibility Rule of 801
- Divisibility rule: A set of rules used to determine whether a number is divisible by another number.
- Multiples: Results obtained by multiplying a number by an integer, e.g., multiples of 801 are 801, 1602, 2403, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: A process of finding the difference between two numbers by reducing one number from another.
- Verification: The process of confirming the accuracy of a result, such as using division to confirm divisibility.
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About BrightChamps in Singapore
Hiralee Lalitkumar Makwana
About the Author
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.
Fun Fact
: She loves to read number jokes and games.
