166 LearnersLast updated on May 26th, 2025
Divisibility Rule of 401
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 401.
What is the Divisibility Rule of 401?
The divisibility rule for 401 is a method by which we can find out if a number is divisible by 401 or not without using the division method. Check whether 1604 is divisible by 401 with the divisibility rule.
Step 1: Take the last three digits of the number, here in 1604, the last three digits are 604.
Step 2: Subtract 401 from the last three digits until you either reach zero or a negative number. 604 - 401 = 203.
Step 3: If the result is zero, the number is divisible by 401. If it’s not zero, check if 203 is divisible by 401. Since 203 is less than 401, 1604 is not divisible by 401.
Tips and Tricks for Divisibility Rule of 401
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 401.
-Know the multiples of 401: Memorize the multiples of 401 (401, 802, 1203, etc.) to quickly check the divisibility. If the subtraction results in one of these multiples, the number is divisible by 401.
- Use the division method for verification: If unsure, use the division method to cross-check your results. Doing so will help verify your calculations and reinforce learning.
- Repeat the subtraction for larger numbers: For larger numbers, continue subtracting 401 from the last three digits until you reach a manageable number.
- Be careful with the subtraction: Ensure you perform the subtraction correctly to avoid mistakes.
- Practice regularly: Regular practice helps in memorizing the process and avoids confusion during calculations.
Common Mistakes and How to Avoid Them in Divisibility Rule of 401
The divisibility rule of 401 helps us quickly check if a given number is divisible by 401, 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 by consistently subtracting 401 from the last three digits and checking for a zero result.
Divisibility Rule of 401 Examples
Problem 1
Is 2005 divisible by 401?
No, 2005 is not divisible by 401.
Explanation
To check if 2005 is divisible by 401, follow these steps:
1) Multiply the last digit of the number by 3, 5 × 3 = 15.
2) Subtract the result from the remaining digits, excluding the last digit, 200 – 15 = 185.
3) The result is not 0, and 185 is not a multiple of 401, so 2005 is not divisible by 401.
Problem 2
Check the divisibility rule of 401 for 1203.
Check the divisibility rule of 401 for 1203.
Explanation
To check if 1203 is divisible by 401:
1) Multiply the last digit of the number by 3, 3 × 3 = 9.
2) Subtract the result from the remaining digits, excluding the last digit, 120 – 9 = 111.
3) The result is not 0, and 111 is not a multiple of 401, so 1203 is not divisible by 401.
Problem 3
Is 802 divisible by 401?
Yes, 802 is divisible by 401.
Explanation
To check if 802 is divisible by 401:
1) Multiply the last digit of the number by 3, 2 × 3 = 6.
2) Subtract the result from the remaining digits, excluding the last digit, 80 – 6 = 74.
3) The result is 0, and since the original subtraction did not result in a multiple of 401, 802 is divisible by 401 (401 x 2).
Problem 4
Can 1604 be divisible by 401 following the divisibility rule?
Yes, 1604 is divisible by 401.
Explanation
To check if 1604 is divisible by 401:
1) Multiply the last digit of the number by 3, 4 × 3 = 12.
2) Subtract the result from the remaining digits, excluding the last digit, 160 – 12 = 148.
3) Since 148 is not a multiple of 401, use the continuation rule for this scenario. Upon further checking, 1604 is indeed divisible by 401 (401 x 4).
Problem 5
Check the divisibility rule of 401 for 4010.
Yes, 4010 is divisible by 401.
Explanation
To check the divisibility rule of 401 for 4010:
1) Multiply the last digit of the number by 3, 0 × 3 = 0.
2) Subtract the result from the remaining digits, excluding the last digit, 401 – 0 = 401.
3) The result is 0, and 401 is divisible by 401 (401 x 10), so 4010 is divisible by 401.
FAQs on Divisibility Rule of 401
1.What is the divisibility rule for 401?
2. How many numbers are there between 1 and 2000 that are divisible by 401?
3. Is 802 divisible by 401?
4.What if I get 0 after subtraction?
5. Does the divisibility rule of 401 apply to all integers?
6.How can children in Qatar use numbers in everyday life to understand Divisibility Rule of 401?
7.What are some fun ways kids in Qatar can practice Divisibility Rule of 401 with numbers?
8.What role do numbers and Divisibility Rule of 401 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Divisibility Rule of 401 skills?
Important Glossary for Divisibility Rule of 401
- Divisibility rule: A set of rules used to determine whether one number is divisible by another without performing the division directly.
- Multiples: Results obtained by multiplying a number by an integer, such as multiples of 401 (401, 802, 1203, etc.).
- Subtraction: The process of finding the difference between two numbers by reducing one from the other.
- Integer: A whole number that can be positive, negative, or zero.
- Verification: The process of confirming the correctness of a result, often using an alternative method like direct division.
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About BrightChamps in Qatar
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.
