161 LearnersLast updated on May 26th, 2025
Divisibility Rule of 140
The divisibility rule is a way to determine whether a number is divisible by another number without using the division method. In real life, we can use divisibility rules for quick math, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 140.
What is the Divisibility Rule of 140?
The divisibility rule for 140 involves checking a number's divisibility by 140 without performing division. To determine whether 280 is divisible by 140, follow these steps:
Step 1: Check divisibility by 10. A number is divisible by 10 if it ends in 0. Since 280 ends in 0, proceed to the next step.
Step 2: Check divisibility by 14 (since 140 = 10 × 14). A number is divisible by 14 if it is divisible by both 2 and 7.
Divisibility by 2: 280 is even, so it is divisible by 2.
Divisibility by 7: Use the rule for 7. Double the last digit: 0 × 2 = 0. Subtract from the remaining number: 28 - 0 = 28. Since 28 is a multiple of 7, 280 is divisible by 7.
Since 280 is divisible by 10, 2, and 7, it is divisible by 140.
Tips and Tricks for Divisibility Rule of 140
Understanding the divisibility rule can help kids master division. Here are tips and tricks for the divisibility rule of 140:
- Know the Multiples of 140: Memorize the multiples of 140 (140, 280, 420, etc.) to quickly check divisibility.
- Use the Division Method to Verify: You can verify your results by dividing the number by 140 to ensure it divides evenly.
- Break Down the Components: Since 140 = 10 × 14, ensure the number is divisible by both 10 and 14 to confirm divisibility.
Common Mistakes and How to Avoid Them in Divisibility Rule of 140
The divisibility rule of 140 helps us quickly check if a given number is divisible by 140, but common mistakes like calculation errors can lead to incorrect conclusions. Here are some common mistakes and solutions:
Mistake 1
Not checking all components.
Ensure the number is divisible by 10, 2, and 7 (for 14).
Divisibility Rule of 140 Examples
Problem 1
Can 280 be divided by 140 without leaving a remainder?
Yes, 280 is divisible by 140.
Explanation
To check if 280 is divisible by 140, you can divide 280 by 140.
1) Divide 280 by 140, which equals 2.
2) Since the result is a whole number, 280 is divisible by 140.
Problem 2
Is 560 divisible by 140?
Yes, 560 is divisible by 140.
Explanation
To determine if 560 is divisible by 140, use division:
1) Divide 560 by 140, which equals 4.
2) Because 4 is a whole number, 560 is divisible by 140.
Problem 3
Check the divisibility of 1260 by 140.
No, 1260 is not divisible by 140.
Explanation
To check if 1260 is divisible by 140, perform the division:
1) Divide 1260 by 140, which results in approximately 9.
2) Since the result is not a whole number, 1260 is not divisible by 140.
Problem 4
Is 700 divisible by 140?
Yes, 700 is divisible by 140.
Explanation
To verify divisibility of 700 by 140, use simple division:
1) Divide 700 by 140, which equals 5.
2) The result is a whole number, confirming 700 is divisible by 140.
Problem 5
Test if 980 is divisible by 140.
Yes, 980 is divisible by 140.
Explanation
To check if 980 is divisible by 140, divide:
1) Divide 980 by 140, which equals 7.
2) As the result is a whole number, 980 is divisible by 140.
FAQs on Divisibility Rule of 140
1.What is the divisibility rule for 140?
2.How many numbers are there between 1 and 1000 that are divisible by 140?
3.Is 420 divisible by 140?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 140 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 140?
7.What are some fun ways kids in United States can practice Divisibility Rule of 140 with numbers?
8.What role do numbers and Divisibility Rule of 140 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 140 skills?
Important Glossaries for Divisibility Rule of 140
- 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. For example, multiples of 140 are 140, 280, 420, etc.
- Integers: Numbers including all whole numbers, negative numbers, and zero.
- Even number: A number divisible by 2, with no remainder.
- Subtraction: A process of finding the difference between two numbers by reducing one from the other.
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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.
