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120 LearnersLast updated on February 18th, 2025
Divisibility Rule of 980
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 980.
What is the Divisibility Rule of 980?
The divisibility rule for 980 is a method by which we can find out if a number is divisible by 980 or not without using the division method. Check whether 1960 is divisible by 980 with the divisibility rule.
Step 1: Check if the number is divisible by 2, 5, and 7, since 980 = 2 × 5 × 7 × 14. For a number to be divisible by 980, it should be divisible by these factors.
- 1960 is even, so it is divisible by 2.
- The last digit of 1960 is 0, so it is divisible by 5.
- For divisibility by 7, use the rule: double the last digit and subtract it from the rest of the number. 196 - 0(2) = 196; 196 is divisible by 7.
Step 2: Check if the number is divisible by 14. Since 1960 passes all the checks for divisibility by 2, 5, 7, and 14, it is divisible by 980.
Tips and Tricks for Divisibility Rule of 980
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 980.
Know the multiples of 2, 5, 7, and 14:
Memorize the multiples of these numbers to quickly check divisibility. If a number is a multiple of all these, it is divisible by 980.
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 to confirm their understanding.
Common Mistakes and How to Avoid Them in Divisibility Rule of 980
The divisibility rule of 980 helps us quickly check if the given number is divisible by 980, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes that will help you to avoid them.
Mistake 1
Not checking all factors.
Students should ensure they check divisibility by 2, 5, 7, and 14 for complete accuracy.
Divisibility Rule of 980 Examples
Problem 1
Is 1960 divisible by 980?
Yes, 1960 is divisible by 980.
Explanation
To check if 1960 is divisible by 980, we divide 1960 by 980. The result is 2, which is a whole number, meaning 1960 is exactly two times 980.
Problem 2
Check the divisibility rule of 980 for 2940.
Yes, 2940 is divisible by 980.
Explanation
When we divide 2940 by 980, the result is 3, which is a whole number. This shows that 2940 is exactly three times 980.
Problem 3
Is 490 divisible by 980?
No, 490 is not divisible by 980.
Explanation
If we divide 490 by 980, the result is 0.5, which is not a whole number. Therefore, 490 is not divisible by 980.
Problem 4
Can 8820 be divisible by 980 following the divisibility rule?
Yes, 8820 is divisible by 980.
Explanation
Dividing 8820 by 980 gives a quotient of 9, which is a whole number. This indicates that 8820 is exactly nine times 980.
Problem 5
Check the divisibility rule of 980 for 19600.
Yes, 19600 is divisible by 980.
Explanation
By dividing 19600 by 980, we get a quotient of 20, which is a whole number. This confirms that 19600 is exactly twenty times 980.
FAQs on Divisibility Rule of 980
1.What is the divisibility rule for 980?
2.How many numbers are there between 1 and 2000 that are divisible by 980?
3.Is 2940 divisible by 980?
4. What if I get 0 after checking all factors?
5. Does the divisibility rule of 980 apply to all integers?
Important Glossary for Divisibility Rule of 980
- Divisibility Rule: The set of rules used to determine if a number is divisible by another number without direct division.
- Factors: Numbers that are multiplied together to get another number. For example, 980 has factors 2, 5, 7, and 14.
- Multiple: A multiple of a number is the product of that number and an integer.
- Integer: A whole number that can be positive, negative, or zero.
- Subtraction: A mathematical operation where one number is taken away from another.
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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.
