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132 LearnersLast updated on February 18th, 2025
Divisibility Rule of 960
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 960.
What is the Divisibility Rule of 960?
The divisibility rule for 960 is a method by which we can find out if a number is divisible by 960 or not without using the division method. Check whether 1920 is divisible by 960 with the divisibility rule.
Step 1: Verify divisibility by 10. The number should end in 0.
Step 2: Check divisibility by 3. Add all the digits of the number. For 1920, 1 + 9 + 2 + 0 = 12, which is divisible by 3.
Step 3: Check divisibility by 32. Divide the last five digits (or the entire number if fewer than five digits) by 32. Here, 1920 divided by 32 equals 60, which is an integer.
Since 1920 meets these criteria, it is divisible by 960.
Tips and Tricks for Divisibility Rule of 960
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 960.
Break down the rule:
960 is 10 × 3 × 32. Ensure the number is divisible by each of these components.
Remember divisibility by 32:
For divisibility by 32, check the last five digits (or the whole number if less than five digits) to see if it is divisible by 32.
Use known divisibility rules:
Use the divisibility rules for 10 and 3, which are straightforward and easy to apply.
Verify with smaller components:
If a number is large, break it down into smaller parts and check each part for divisibility by 960.
Use the division method to verify:
Students can use the division method as a way to verify and crosscheck their results. This will help them verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 960
The divisibility rule of 960 helps us to quickly check if the given number is divisible by 960, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not checking all components.
Ensure the number is divisible by 10, 3, and 32.
Divisibility Rule of 960 Examples
Problem 1
Is 1920 divisible by 960?
Yes, 1920 is divisible by 960.
Explanation
To check if 1920 is divisible by 960, follow these steps:
1) Check if 1920 is divisible by both 10 and 96, since 960 = 10 x 96.
2) 1920 ends in 0, so it is divisible by 10.
3) To check divisibility by 96, verify divisibility by 3 and 32 (since 96 = 3 x 32).
4) The sum of the digits of 1920 is 1 + 9 + 2 + 0 = 12, which is divisible by 3.
5) 1920 ÷ 32 = 60, which is an integer.
6) Since 1920 is divisible by both 10 and 96, it is divisible by 960.
Problem 2
Check the divisibility rule of 960 for 4800.
Yes, 4800 is divisible by 960.
Explanation
To check if 4800 is divisible by 960, follow these steps:
1) Verify divisibility by 10 and 96.
2) 4800 ends in 0, so it is divisible by 10.
3) For divisibility by 96, check divisibility by 3 and 32.
4) The sum of the digits of 4800 is 4 + 8 + 0 + 0 = 12, which is divisible by 3.
5) 4800 ÷ 32 = 150, which is an integer.
6) Since 4800 is divisible by both 10 and 96, it is divisible by 960.
Problem 3
Is 5760 divisible by 960?
Yes, 5760 is divisible by 960.
Explanation
To confirm if 5760 is divisible by 960, follow the process:
1) Confirm divisibility by 10 and 96.
2) 5760 ends in 0, confirming divisibility by 10.
3) Check divisibility by 96: ensure divisibility by 3 and 32.
4) The sum of the digits of 5760 is 5 + 7 + 6 + 0 = 18, which is divisible by 3.
5) 5760 ÷ 32 = 180, which is an integer.
6) Therefore, 5760 is divisible by 960.
Problem 4
Can 2340 be divisible by 960 following the divisibility rule?
No, 2340 is not divisible by 960.
Explanation
To verify if 2340 is divisible by 960, follow these steps:
1) Check divisibility by 10 and 96.
2) 2340 ends in 0, so it is divisible by 10.
3) For 96, test divisibility by 3 and 32.
4) The sum of the digits of 2340 is 2 + 3 + 4 + 0 = 9, which is divisible by 3.
5) 2340 ÷ 32 = 73.125, which is not an integer.
6) Since 2340 is not divisible by 32, it is not divisible by 960.
Problem 5
Check the divisibility rule of 960 for 8640.
Yes, 8640 is divisible by 960.
Explanation
To establish divisibility of 8640 by 960, proceed as follows:
1) First, check divisibility by 10 and 96.
2) 8640 ends in 0, ensuring divisibility by 10.
3) For 96, verify divisibility by 3 and 32.
4) The sum of the digits of 8640 is 8 + 6 + 4 + 0 = 18, which is divisible by 3.
5) 8640 ÷ 32 = 270, which is an integer.
6) As 8640 is divisible by both 10 and 96, it is divisible by 960.
FAQs on Divisibility Rule of 960
1.What is the divisibility rule for 960?
2.How can I quickly check if a number is divisible by 960?
3.Is 2880 divisible by 960?
4.What if a number is divisible by 960 but not by 32?
5.Does the divisibility rule of 960 apply to all integers?
Important Glossaries for Divisibility Rule of 960
- Divisibility rule: A set of guidelines to determine if one number is divisible by another without direct division.
- Multiples: Results obtained by multiplying a number by an integer. Example: multiples of 960 are 960, 1920, 2880, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Summation: The process of adding a sequence of numbers to find their total.
- Components: The factors or parts that make up a whole. In this context, factors of 960 like 10, 3, and 32.
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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.
