https://file.aiquickdraw.com/mathbot/file/172623484460967l1y545.jpg

Let's go through each of the questions on the board based on the image:

1. **Tentukan banyak pembagi positif dari 4320 selain 4320**
   - This question asks for the number of positive divisors of 4320 excluding 4320 itself.
   
   Steps:
   - First, factorize 4320 into prime factors.
   - Use the formula for finding the number of divisors based on the prime factorization.
   
2. **Tentukan banyak \(n\) positif sehingga \(3n+2\) habis dibagi \(n-2\)**
   - This problem requires finding how many positive integer values of \(n\) make \(3n + 2\) divisible by \(n - 2\).
   
   Steps:
   - Set up the equation and try to solve for \(n\) using algebraic manipulation.
   
3. **Angka satuan dari \(3(2! + 3! + 4! + \dots + 20!)\)**
   - This asks for the unit digit of \(3(2! + 3! + 4! + \dots + 20!)\).
   
   Steps:
   - First, calculate the factorials up to 20!, find their sums, and then determine the unit digit of this sum multiplied by 3.

4. **\(\frac{(n+1)!}{(n-2)!} = 60\), nilai \(n = \dots \)**
   - This equation involves factorials and needs solving for \(n\).

   Steps:
   - Simplify the equation by canceling out factorials and solve for \(n\) algebraically.

Would you like me to begin solving any of these problems step by step? Feel free to choose one or all of them for detailed solutions! 

Here are 5 questions to explore further:
1. How do you find the prime factorization of a number like 4320?
2. What methods can be used to simplify factorial expressions?
3. What is the general approach to solving divisibility problems?
4. How can you quickly find the unit digit of a large sum of factorials?
5. What are the properties of divisors, and how can they be counted?

**Tip:** Always break down complex factorial problems by canceling common terms before expanding factorials fully.

Tentukan banyak pembagi positif dari 4320 selain 4320. Tentukan banyak n positif sehingga 3n + 2 habis dibagi n - 2. Angka satuan dari 3(2! + 3! + 4! + ... + 20!). (n+1)! / (n-2)! = 60, nilai n = ...

This page provides step-by-step solutions for finding divisors of 4320, solving a factorial equation, and determining the unit digit of a sum involving factorials. Learn how to factorize, simplify, and solve algebraic expressions in this high school-level math problem.

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