Answer:1. 81: \(3^4\) 2. 72: \(2^3 \times 3^2\) 3. 64: \(2^6\) 4. 35: \(5 \times 7\) 5. 56: \(2^3 \times 7\) 6. 34: \(2 \times 17\)Step-by-step explanation:Here are the prime factorizations for each number:1. 81: \[ 81 = 3 \times 3 \times 3 \times 3 = 3^4 \]2. 72 \[ 72 = 2 \times 2 \times 2 \times 3 \times 3 = 2^3 \times 3^2 \]3. 64: \[ 64 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 2^6 \]4. 35 \[ 35 = 5 \times 7 \]5. 56 \[ 56 = 2 \times 2 \times 2 \times 7 = 2^3 \times 7 \]6. 34: \[ 34 = 2 \times 17 \]