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
Here are the breakdowns for each number: 1. Break down the number by multiplying 2s and 3s. a) Step 1: Divide 6 by 2. 6 = 2 × 3 The number 6 is broken down into factors of 2 and 3. b) Step 1: Divide 72 by 2. 72 = 2 × 36 Step 2: Divide 36 by 2. 72 = 2 × 2 × 18 Step 3: Divide 18 by 2. 72 = 2 × 2 × 2 × 9 Step 4: Break down 9 into factors of 3. 72 = 2 × 2 × 2 × 3 × 3 The number 72 is broken down into factors of 2s and 3s. c) Step 1: Divide 108 by 2. 108 = 2 × 54 Step 2: Divide 54 by 2. 108 = 2 × 2 × 27 Step 3: Break down 27 into factors of 3. 108 = 2 × 2 × 3 × 9 Step 4: Break down 9 into factors of 3. 108 = 2 × 2 × 3 × 3 × 3 The number 108 is broken down into factors of 2s and 3s. 2. Break down the number by multiplying 2s or 3s or 5s or a combination. a) Step 1: Divide 30 by 2. 30 = 2 × 15 Step 2: Break down 15 into factors of 3 and 5. 30 = 2 × 3 × 5 The number 30 is broken down into factors of 2, 3, and 5. b) Step 1: Divide 60 by 2. 60 = 2 × 30 Step 2: Divide 30 by 2. 60 = 2 × 2 × 15