Write 80 as a product of prime factors.

1. Begin by expressing \(80\) as a product of two numbers. Notice that \[ 80 = 8 \times 10. \] 2. Factorize each component: - For \(8\): \[ 8 = 2 \times 2 \times 2 = 2^3. \] - For \(10\): \[ 10 = 2 \times 5. \] 3. Substitute the prime factorizations back into the product: \[ 80 = 2^3 \times (2 \times 5). \] 4. Combine the factors of \(2\): \[ 80 = 2^{3+1} \times 5 = 2^4 \times 5. \] Thus, the prime factorization of \(80\) is \[ 2^4 \times 5. \]