Write the prime factorization of 6 . Use exponents when appropriate and order the factors from least to greatest (for example, \( 2^{2} \cdot 3 \cdot 5 \) ).

The prime factorization of 6 is \( 2^1 \cdot 3^1 \). This means that the number 6 can be broken down into its prime components, which are 2 and 3, each raised to the power of 1. When it comes to prime factorization, it’s essential to think about the smallest prime numbers first. The process involves dividing the number by the smallest prime until you can no longer do so. For 6, it’s first divisible by 2, giving you 3, which is also prime, leading us to our final result.