The prime factorization of 9261 can be found by repeatedly dividing it by prime numbers:

1. Start by dividing 9261 by 3 (since 9261 is divisible by 3):
   \[
   9261 \div 3 = 3087
   \]

2. Divide 3087 by 3:
   \[
   3087 \div 3 = 1029
   \]

3. Divide 1029 by 3:
   \[
   1029 \div 3 = 343
   \]

4. Now, divide 343 by 7 (since 343 is divisible by 7):
   \[
   343 \div 7 = 49
   \]

5. Finally, divide 49 by 7:
   \[
   49 \div 7 = 7
   \]

6. Divide 7 by 7:
   \[
   7 \div 7 = 1
   \]

Thus, the prime factorization of 9261 is:
\[
9261 = 3^3 \times 7^3
\]

Would you like further details or have any questions?

Here are 5 related questions for practice:
1. What is the prime factorization of 686?
2. How do you find the least common multiple (LCM) using prime factorization?
3. What is the greatest common divisor (GCD) of 9261 and 343?
4. How can you use prime factorization to simplify fractions?
5. What are the properties of prime numbers?

**Tip**: To quickly check divisibility by 3, sum the digits of the number. If the sum is divisible by 3, so is the number.

Discover the step-by-step prime factorization of 9261, broken down into simple divisions by prime numbers. Learn how 9261 is expressed as 3^3 * 7^3 using fundamental arithmetic principles. Suitable for students in Grades 6-8.

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