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128 LearnersLast updated on February 18th, 2025
Divisibility Rule of 920
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 920.
What is the Divisibility Rule of 920?
The divisibility rule for 920 is a method by which we can find out if a number is divisible by 920 or not without using the division method. Check whether 1840 is divisible by 920 with the divisibility rule.
Step 1: Check if the number is divisible by both 8 and 115, since 920 = 8 × 115. First, check divisibility by 8. The last three digits of 1840 are 840. Since 840 is divisible by 8, proceed to the next step.
Step 2: Check divisibility by 115. If the number ends with 40 (or any other number divisible by 115), then it is divisible by 115. Since 1840 ends with 40, which is divisible by 115, proceed to the next step.
Step 3: Since 1840 is divisible by both 8 and 115, it is divisible by 920.
Tips and Tricks for Divisibility Rule of 920
Learning the divisibility rule can help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 920.
Know the factors of 920:
Memorize the factors of 920 such as 8 and 115 to quickly check divisibility. If a number is divisible by both, it is divisible by 920.
Check divisibility by smaller numbers:
If a number is not divisible by 8 or 115, it isn't divisible by 920. This can save time by eliminating numbers quickly.
Repeat the process for larger numbers:
Students should keep repeating the divisibility process for both 8 and 115 until they confirm divisibility for 920. For example, check if 3680 is divisible by 920 using the divisibility test. Check divisibility by 8 (680 is divisible by 8) and 115 (680 is divisible by 115).
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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 920
The divisibility rule of 920 helps us to quickly check if a given number is divisible by 920, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you.
Mistake 1
Not checking divisibility by both numbers.
Students should check divisibility by both 8 and 115 to confirm divisibility by 920.
Divisibility Rule of 920 Examples
Problem 1
Is 9200 divisible by 920?
Yes, 9200 is divisible by 920.
Explanation
To check the divisibility of 9200 by 920, recognize that both numbers end in zero. Divide 9200 by 920 directly: 9200 ÷ 920 = 10. Since the result is an integer, 9200 is divisible by 920.
Problem 2
Can 1840 be divisible by 920?
Yes, 1840 is divisible by 920.
Explanation
Check the divisibility by dividing 1840 by 920: 1840 ÷ 920 = 2. Because the result is an integer, 1840 is divisible by 920.
Problem 3
Is 2760 divisible by 920?
Yes, 2760 is divisible by 920.
Explanation
To verify, divide 2760 by 920: 2760 ÷ 920 = 3. The result is an integer, confirming that 2760 is divisible by 920.
Problem 4
Check the divisibility rule of 920 for 4600.
No, 4600 is not divisible by 920.
Explanation
Divide 4600 by 920 to check: 4600 ÷ 920 = 5. The remainder is 0, so while initially appearing divisible, verify through direct division to ensure no remainders. In this case, rechecking shows a remainder, thus not divisible.
Problem 5
Is 3680 divisible by 920?
Yes, 3680 is divisible by 920.
Explanation
To confirm, divide 3680 by 920: 3680 ÷ 920 = 4. Because the result is an integer, 3680 is divisible by 920.
FAQs on Divisibility Rule of 920
1.What is the divisibility rule for 920?
2.How many numbers are there between 1 and 10,000 that are divisible by 920?
3.Is 2760 divisible by 920?
4.What if I get 0 after subtraction in divisibility check?
5. Does the divisibility rule of 920 apply to all integers?
Important Glossaries for Divisibility Rule of 920
- Divisibility rule: A set of rules used to find out whether a number is divisible by another number or not.
- Factors: Numbers that divide another number completely without leaving a remainder.
- Multiples: Results obtained after multiplying a number by integers.
- Integer: A number that includes all whole numbers, negative numbers, and zero.
- Division method: Using actual division to verify the results obtained from divisibility rules.
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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.
