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Description
Discover the world of divisibility in a whole new way! With this intuitive app, you’ll learn the basics of division with and without remainders and discover the divisors of a number.
• Visualize numbers and their divisors through arranged tiles
• Experiment with different arrangements and change the divisors
• Instantly recognize whether a number is divisible
• Save important discoveries in your personal archive
• Adjust the display to your needs
• Ideal for students, teachers, parents, and math enthusiasts
• Perfect for active discovery-based math lessons and learning at home
This app turns understanding divisors and division into an exciting discovery process through research tasks. The clear, streamlined user interface enables you to understand mathematical relationships by directly experimenting. Here are some examples of tasks that can be tackled actively on various levels of difficulty with the app:
Explore the number 8. Change the divisor. What does it mean when the divisor is displayed in red? What does it mean when it is green?
Select the number 9. Find all its divisors. Then, describe how you went about the search and what you discovered.
Take the number 14 and divide it sequentially by 2, 3, 4, 5. Note your discoveries. What do you notice?
Examine the divisors of the number 16. Each divisor has a partner. What do you notice about these divisor pairs? Try finding divisor pairs for other numbers as well.
Investigate the numbers 15, 16, 17, 18, 19, and 20 one by one. Which of these numbers are divisible by 2? Why? Formulate a hypothesis.
Explore the numbers 8, 9, and 10. Find all divisors for each number and compare them.
When comparing the divisors of two numbers: Is the larger number always the one with more divisors?
Take the number 24. Systematically find all its divisors. Think about and explain how you can quickly find all divisors.
Find numbers that only have two divisors.
Explore prime numbers: Investigate the numbers from 10 to 20 for their divisors. Which numbers have exactly two divisors?
Can a number have only one divisor? Justify your answer.
Find numbers with particularly many divisors. What do you notice?
Compare the number of divisors for the numbers 12, 24, 36. What do you notice? Can you find other numbers with a large number of divisors?
Common divisors: Investigate the numbers 18 and 24. Which divisors do both numbers have in common? What is the greatest common divisor?
Develop a strategy for finding the greatest common divisor of two numbers.
Investigate square numbers: Examine the square numbers 1, 4, 9, 16, 25. What do you notice about the number of their divisors?
Investigate numbers divisible by 3 and list them. What do you notice about the digits of these numbers? How can you tell if a number is divisible by 3 without calculating?
Pick a number and find all its divisors. Multiply two divisors together each time. What do you find? Explain and justify your discovery.
What's New in Version 1.3
Added new block-based group representations
New representation using one or multiple number lines
Revision of settings options
Various bug fixes
Seller
Name
Christian Urff
Information
Developer
Categories
Version
1.3
Size
2.1 MB
Game Center
No
VPP Device Licensing
Yes
Rating
Rated: 4+
Compatibility
iOS 17.0 or later
Devices
iPad (5th Generation) Wi-Fi, iPad (5th Generation) Wi-Fi + Cellular, iPad (6th generation) Wi-Fi, iPad (6th generation) Wi-Fi + Cellular, iPad Pro, iPad Pro (Cellular), iPad Pro (9.7-inch), iPad Pro (9.7-inch) (Cellular), iPad Pro 12.9-inch (2nd generation), iPad Pro 12.9-inch (2nd generation) Wi-Fi + Cellular, iPad Pro (10.5-inch), iPad Pro (10.5-inch) Wi-Fi + Cellular, iPad Pro (11-inch), iPad Pro (11-inch) Wi-Fi + Cellular, iPad Pro 12.9-inch (3rd generation), iPad Pro 12.9-inch (3rd generation) Wi-Fi + Cellular, iPad Air, iPad Air (Cellular), iPad Air 2, iPad Air 2 (Cellular), iPad Air (3rd generation), iPad Air (3rd generation) Wi-Fi + Cellular, iPad mini Retina, iPad mini Retina (Cellular), iPad mini 3, iPad mini 3 (Cellular), iPad mini 4, iPad mini 4 (Cellular), iPad mini (5th Generation), iPad mini (5th Generation) Wi-Fi + Cellular, iPad (7th generation) Wi-Fi + Cellular, iPad Pro 11-inch (2nd generation), iPad Pro 11-inch (2nd generation) Wi-Fi + Cellular, iPad Pro 12.9-inch (4th generation), iPad Pro 12.9-inch (4th generation) Wi-Fi + Cellular, iPad Air (4th Generation) (Wi-Fi), iPad Air (4th Generation) (Wi-Fi + Cellular), iPad (8th generation) Wi-Fi, iPad (8th generation) Wi-Fi + Cellular, iPad Pro 11-inch (3rd generation), iPad Pro 11-inch (3rd generation) Wi-Fi + Cellular, iPad Pro 12.9-inch (5th Generation), iPad Pro 12.9-inch (5th Generation) Wi-Fi + Cellular, iPad (9th Generation), iPad (9th Generation) Wi-Fi + Cellular, iPad mini (6th Generation), iPad mini (6th Generation) Wi-Fi + Cellular, iPad Air (5th generation), iPad Air (5th generation) Wi-Fi + Cellular, iPad Pro 11-inch (4th generation), iPad Pro 11-inch (4th generation) Wi-Fi + Cellular, iPad Pro 12.9-inch (6th generation), iPad Pro 12.9-inch (6th generation) Wi-Fi + Cellular, iPad (10th generation), iPad (10th generation) Wi-Fi + Cellular, iPad Air 11-inch (M2) Wi-Fi, iPad Air 13-inch (M2) Wi-Fi, iPad Air 13-inch (M2) Wi-Fi + Cellular, iPad Pro 11-inch (M4) Wi-Fi, iPad Pro 11-inch (M4) Wi-Fi + Cellular, iPad Pro 13-inch (M4) Wi-Fi, iPad Pro 13-inch (M4) Wi-Fi + Cellular, iPad A16, iPad A16Cellular, iPad Air11M3, iPad Air11M3Cellular, iPad Air13M3, iPad Air13M3Cellular, iPad MiniA17Pro, iPad MiniA17ProCellular
Languages
English, Chinese, French, German, Japanese, Spanish
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