Use the divisibility tests to determine which of the given numbers 290250 is divisible by.

Let's use divisibility tests to determine which numbers 290250 is divisible by:

1. **Divisibility by 2**: A number is divisible by 2 if it ends in 0, 2, 4, 6, or 8.
   - 290250 ends in 0, so it **is divisible by 2**.

2. **Divisibility by 3**: A number is divisible by 3 if the sum of its digits is divisible by 3.
   - Sum of digits of 290250: \(2 + 9 + 0 + 2 + 5 + 0 = 18\).
   - 18 is divisible by 3, so 290250 **is divisible by 3**.

3. **Divisibility by 5**: A number is divisible by 5 if it ends in 0 or 5.
   - 290250 ends in 0, so it **is divisible by 5**.

4. **Divisibility by 6**: A number is divisible by 6 if it is divisible by both 2 and 3.
   - 290250 is divisible by both 2 and 3, so it **is divisible by 6**.

5. **Divisibility by 9**: A number is divisible by 9 if the sum of its digits is divisible by 9.
   - The sum of the digits is 18 (as calculated above).
   - 18 is divisible by 9, so 290250 **is divisible by 9**.

**Summary**:
- 290250 is divisible by **2, 3, 5, 6,** and **9**.

Would you like more details or have any questions about this? Here are some related questions:

1. How do you test divisibility by 4 and 8?
2. What is the divisibility rule for 7, and does it apply to 290250?
3. Can you find the prime factorization of 290250?
4. Is 290250 divisible by 10, and why or why not?
5. How do you test divisibility by 11, and is 290250 divisible by 11?

**Tip:** Knowing multiple divisibility rules can help cross-check your work and ensure accuracy in calculations.

Learn how to use divisibility tests to determine which numbers the number 290250 is divisible by. This problem covers key concepts in number theory, including divisibility rules for 2, 3, 5, 6, and 9. Suitable for students in Grades 5-8.

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