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 prime factors for each number using the division method: i) 100 Step 1: Divide 100 by the smallest prime factor, 2. 100 ÷ 2 = 50 Step 2: Divide 50 by 2. 50 ÷ 2 = 25 Step 3: Divide 25 by the smallest prime factor, 5. 25 ÷ 5 = 5 Step 4: Divide 5 by 5. 5 ÷ 5 = 1 The prime factors of 100 are 2, 2, 5, 5. ii) 216 Step 1: Divide 216 by 2. 216 ÷ 2 = 108 Step 2: Divide 108 by 2. 108 ÷ 2 = 54 Step 3: Divide 54 by 2. 54 ÷ 2 = 27 Step 4: Divide 27 by the smallest prime factor, 3. 27 ÷ 3 = 9 Step 5: Divide 9 by 3. 9 ÷ 3 = 3 Step 6: Divide 3 by 3. 3 ÷ 3 = 1 The prime factors of 216 are 2, 2, 2, 3, 3, 3. iii) 625 Step 1: Divide 625 by the smallest prime factor, 5. 625 ÷ 5 = 125 Step 2: Divide 125 by 5. 125 ÷ 5 = 25 Step 3: Divide 25 by 5. 25 ÷ 5 = 5 Step 4: Divide 5 by 5. 5 ÷ 5 = 1 The prime factors of 625 are 5, 5, 5, 5. iv) 1000 Step 1: Divide 1000 by 2. 1000 ÷ 2 = 500 Step 2: Divide 500 by 2. 500 ÷ 2 = 250 Step 3: Divide 250 by 2. 250 ÷ 2 = 125 Step 4: Divide 125 by 5. 125 ÷ 5 = 25 Step 5: Divide 25 by 5. 25 ÷ 5 = 5 Step 6: Divide 5 by 5. 5 ÷ 5 = 1 The prime factors of 1000 are 2, 2, 2, 5, 5, 5. v) 3900 Step 1: Divide 3900 by 2. 3900 ÷ 2 = 1950 Step 2: Divide 1950 by 2. 1950 ÷ 2 = 975 Step 3: Divide 975 by 3. 975 ÷ 3 = 325 Step 4: Divide 325 by 5. 325 ÷ 5 = 65 Step 5: Divide 65 by 5. 65 ÷ 5 = 13 Step 6: Divide 13 by 13. 13 ÷ 13 = 1 The prime factors of 3900 are 2, 2, 3, 5, 5, 13. That's 2 down. 3 left today — send the next one.