206 LearnersLast updated on May 26th, 2025
Divisibility Rule of 320
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 320.
What is the Divisibility Rule of 320?
The divisibility rule for 320 is a method by which we can find out if a number is divisible by 320 without using the division method. Check whether 6400 is divisible by 320 with the divisibility rule.
Step 1: A number is divisible by 320 if it is divisible by both 32 and 10. First, check the divisibility by 10; the number should end in 0 to be divisible by 10. Here, 6400 ends with 0.
Step 2: Now, check divisibility by 32. Take the last five digits (since 320 has two trailing zeros, we take five digits to check for 32), which is 06400 in this case. Divide 6400 by 32, and if the result is an integer, then the number is divisible by 32. 6400 ÷ 32 = 200.
Step 3: Since 6400 is divisible by both 10 and 32, it is divisible by 320.
Tips and Tricks for Divisibility Rule of 320
Learning the divisibility rule can help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 320.
- Know the multiples of 320: Memorize the multiples of 320 (320, 640, 960, 1280, etc.) to quickly check divisibility.
- Use the factorization method: Since 320 = 32 × 10, check divisibility by both 32 and 10 separately for ease.
- Familiarize with powers of 2: Since 32 is a power of 2 (2^5), ensure the number of trailing zeros or the last digits have enough factors of 2.
- Use the division method to verify: Students can use the division method as a way 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 320
The divisibility rule of 320 helps us quickly check if a given number is divisible by 320, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking for both 32 and 10.
Ensure to check both conditions for divisibility by 10 and 32.
Mistake 2
Incorrect calculation for divisibility by 32.
Verify if the division results in an integer without a remainder.
Mistake 3
Confusing trailing zeros with divisibility.
Remember, a trailing zero ensures divisibility by 10, but 32 must still be checked separately.
Mistake 4
Not considering the factorization approach.
Always break down 320 into 32 and 10 to simplify checking.
Mistake 5
Forgetting to check large numbers thoroughly.
For large numbers, follow the steps diligently to confirm divisibility.
Divisibility Rule of 320 Examples
Problem 1
Is 640 divisible by 320?
Yes, 640 is divisible by 320.
Explanation
To check if 640 is divisible by 320, we follow these steps:
1) Divide the number by 320, 640 ÷ 320 = 2.
2) The quotient is a whole number, therefore 640 is divisible by 320.
Problem 2
Check the divisibility rule of 320 for 1280.
Yes, 1280 is divisible by 320.
Explanation
For checking the divisibility rule of 320 for 1280:
1) Divide the number by 320, 1280 ÷ 320 = 4.
2) The quotient is a whole number, so 1280 is divisible by 320.
Problem 3
Is 960 divisible by 320?
Yes, 960 is divisible by 320.
Explanation
To check if 960 is divisible by 320:
1) Divide the number by 320, 960 ÷ 320 = 3.
2) The quotient is a whole number, hence 960 is divisible by 320.
Problem 4
Can 1234 be divisible by 320 following the divisibility rule?
No, 1234 isn't divisible by 320.
Explanation
To check if 1234 is divisible by 320:
1) Divide the number by 320, 1234 ÷ 320 ≈ 3.85625.
2) The quotient is not a whole number, so 1234 isn't divisible by 320.
Problem 5
Check the divisibility rule of 320 for 2880.
Yes, 2880 is divisible by 320.
Explanation
To check the divisibility rule of 320 for 2880:
1) Divide the number by 320, 2880 ÷ 320 = 9.
2) The quotient is a whole number, indicating that 2880 is divisible by 320.
FAQs on Divisibility Rule of 320
1.What is the divisibility rule for 320?
2.How many numbers are there between 1 and 1000 that are divisible by 320?
3.Is 1280 divisible by 320?
4.What if I get 0 as a remainder after division?
5.Does the divisibility rule of 320 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 320?
7.What are some fun ways kids in United States can practice Divisibility Rule of 320 with numbers?
8.What role do numbers and Divisibility Rule of 320 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 320 skills?
Important Glossaries for Divisibility Rule of 320
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiple: A multiple of a number is the product of that number and an integer.
- Factorization: Breaking down a number into a product of other numbers or factors, such as 320 = 32 × 10.
- Integer: A whole number that can be positive, negative, or zero.
- Remainder: The amount left over after division when one integer is divided by another.
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About BrightChamps in United States
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.
