The value of \( n \) is calculated by multiplying the prime factors:

\[
n = 3 \times 3 \times 3 \times 5 \times 5 \times 11
\]

Now let's multiply step by step:

1. \( 3 \times 3 = 9 \)
2. \( 9 \times 3 = 27 \)
3. \( 27 \times 5 = 135 \)
4. \( 135 \times 5 = 675 \)
5. \( 675 \times 11 = 7425 \)

Thus, \( n = 7425 \).

Would you like further explanation, or do you have any questions?

Here are 5 related questions:
1. What are prime factors, and how are they useful in mathematics?
2. How can you find the prime factorization of any number?
3. What is the difference between prime and composite numbers?
4. How would the calculation change if one factor were negative?
5. How can prime factorization be used to find the greatest common divisor (GCD) of two numbers?

**Tip:** Prime factorizations are especially helpful when solving problems related to divisibility and simplifying fractions!

Discover how to calculate the value of n using prime factorization: n = 3 * 3 * 3 * 5 * 5 * 11. This step-by-step solution involves basic arithmetic operations and understanding of prime factorization, suitable for students in Grades 5-7.

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