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123 LearnersLast updated on February 12th, 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
Divisibility Rule of 401 Examples
Problem 1
Is 2005 divisible by 401?
Explanation
Problem 2
Check the divisibility rule of 401 for 1203.
Explanation
Problem 3
Is 802 divisible by 401?
Explanation
Problem 4
Can 1604 be divisible by 401 following the divisibility rule?
Explanation
Problem 5
Check the divisibility rule of 401 for 4010.
Explanation
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?
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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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.
