https://file.aiquickdraw.com/mathbot/file/1727093095968kf8v066v.jpg

The problem shows that sets \( A = \{1, 2, 3, 4, 5\} \) and \( B = \{2, 4, 6\} \), and it asks for the arrow diagram that represents the relation "faktor dari" (which translates to "factor of") from set \( A \) to set \( B \).

To determine this, we need to understand the concept of "factor of". For an element in set \( A \) to be related to an element in set \( B \), the element in \( A \) must be a factor of the element in \( B \).

### Checking for each element in set \( A \) and its factors in set \( B \):
- 1 is a factor of 2, 4, and 6.
- 2 is a factor of 2, 4, and 6.
- 3 is a factor of 6.
- 4 is a factor of 4.
- 5 is not a factor of any element in \( B \).

### Now comparing this to the diagrams:
- **Option A** correctly shows:
  - 1 connected to 2, 4, 6.
  - 2 connected to 2, 4, 6.
  - 3 connected to 6.
  - 4 connected to 4.
  - 5 not connected to any element.

Thus, the correct answer is **Option A**.

Would you like further details on how the factors are calculated?

### Here are five related questions:
1. How do you determine if one number is a factor of another?
2. Can a number be a factor of itself?
3. What is the significance of prime numbers in factorization?
4. How are sets and relations represented in mathematical diagrams?
5. What is the difference between a function and a relation?

#### Tip:
When dealing with sets and relations, always verify the conditions of the relation (such as "factor of") by applying them to each element individually to avoid mistakes.

Diketahui A = {1, 2, 3, 4, 5} dan B = {2, 4, 6}. Diagram panah yang merupakan relasi 'faktor dari' himpunan A ke himpunan B adalah?

Learn how to identify the correct arrow diagram representing the 'factor of' relation between set A = {1, 2, 3, 4, 5} and set B = {2, 4, 6}. Understand the mathematical concept of factors and relations through this step-by-step solution. Suitable for students in Grade 6-8.

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