Write the prime factorization of 285 . Use exponents when appropriate and order the factors from least to greatest (for example, \( 2^{2} \cdot 3 \cdot 5 \) ).

We want to find the prime factorization of \(285\). 1. **Check divisibility by 3:** The sum of the digits is \(2 + 8 + 5 = 15\), and since 15 is divisible by 3, \(285\) is divisible by 3. 2. **Divide by 3:** \[ 285 \div 3 = 95 \] 3. **Factorize 95:** Since \(95\) ends in 5, it is divisible by 5. \[ 95 \div 5 = 19 \] 4. **Check the remaining factor:** \(19\) is a prime number. 5. **Write the prime factorization:** We have factored \(285\) as: \[ 285 = 3 \times 5 \times 19 \] This is the prime factorization of \(285\), with the factors ordered from least to greatest.