This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Hey paulinadooh@gmail.com, good to see you again. Here are the prime factorizations for each number using a factor tree approach: 1) For 50: Step 1: Break down 50 into two factors. 50 = 2 × 25 Step 2: Break down 25 into its factors. 25 = 5 × 5 Step 3: Combine all prime factors. 50 = 2 × 5 × 5 = 2 × 5^2 The prime factors of 50 are 2, 5. 2) For 80: Step 1: Break down 80 into two factors. 80 = 8 × 10 Step 2: Break down 8 and 10 into their factors. 8 = 2 × 4 = 2 × 2 × 2 = 2^3 10 = 2 × 5 Step 3: Combine all prime factors. 80 = 2 × 2 × 2 × 2 × 5 = 2^4 × 5 The prime factors of 80 are 2, 5. 3) For 144: Step 1: Break down 144 into two factors. 144 = 12 × 12 Step 2: Break down each 12 into its factors. 12 = 2 × 6 = 2 × 2 × 3 = 2^2 × 3 Step 3: Combine all prime factors. 144 = (2 × 2 × 3) × (2 × 2 × 3) = 2^4 × 3^2 The prime factors of 144 are 2, 3. 4) For 95: Step 1: Break down 95 into two factors. 95 = 5 × 19 Step 2: Both 5 and 19 are prime numbers. Step 3: Combine all prime factors. 95 = 5 × 19 The prime factors of 95 are 5, 19. 5) For 125: Step 1: Break down 125 into two factors. 125 = 5 × 25 Step 2: Break down 25 into its factors. 25 = 5 × 5 Step 3: Combine all prime factors. 125 = 5 × 5 × 5 = 5^3 The prime factors of 125 are 5. 6) For 132: Step 1: Break down 132 into two factors. 132 = 2 × 66 Step 2: Break down 66 into its factors. 66 = 2 × 33 Step 3: Break down 33 into its factors. 33 = 3 × 11 Step 4: Combine all prime factors. 132 = 2 × 2 × 3 × 11 = 2^2 × 3 × 11 The prime factors of 132 are 2, 3, 11. 7) For 72: Step 1: Break down 72 into two factors. 72 = 8 × 9 Step 2: Break down 8 and 9 into their factors. 8 = 2 × 4 = 2 × 2 × 2 = 2^3 9 = 3 × 3 = 3^2 Step 3: Combine all prime factors. 72 = 2 × 2 × 2 × 3 × 3 = 2^3 × 3^2 The prime factors of 72 are 2, 3. 8) For 30: Step 1: Break down 30 into two factors. 30 = 3 × 10 Step 2: Break down 10 into its factors. 10 = 2 × 5 Step 3: Combine all prime factors. 30 = 2 × 3 × 5 The prime factors of 30 are 2, 3, 5. 9) For 63: Step 1: Break down 63 into two factors. 63 = 7 × 9 Step 2: Break down 9 into its factors. 9 = 3 × 3 = 3^2 Step 3: Combine all prime factors. 63 = 3 × 3 × 7 = 3^2 × 7 The prime factors of 63 are 3, 7. 10) For 54: Step 1: Break down 54 into two factors. 54 = 6 × 9 Step 2: Break down 6 and 9 into their factors. 6 = 2 × 3 9 = 3 × 3 = 3^2 Step 3: Combine all prime factors. 54 = 2 × 3 × 3 × 3 = 2 × 3^3 The prime factors of 54 are 2, 3. Send me the next one 📸