Question
Write the prime factorization of 9. Use exponents when appropriate and order the factors from least to greatest (for example, \( 2^{2} \cdot 3 \cdot 5 \) ).
Ask by Nguyen Burgess. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The prime factorization of 9 is \(3^{2}\).
Solution
The prime factorization of 9 is:
\[
3^{2}
\]
**Explanation:**
9 can be divided by the prime number 3:
\[
9 \div 3 = 3
\]
Since 3 is also a prime number, the factorization is \(3 \times 3\), which can be written using an exponent as \(3^{2}\).
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Simplify this solution Extra Insights
The prime factorization of 9 is \( 3^{2} \). This means that 9 can be expressed as the product of the prime number 3 multiplied by itself, giving you \( 3 \times 3 = 9 \). Did you know that prime factorization is an essential concept not only in math but also in cryptography? It’s used in algorithms that secure data by making it extremely difficult to factor large numbers back into their prime components, keeping our digital information safe and sound!
