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
✅ Correct. Your work is accurate. Here's a breakdown of the divisibility test for 6: Step 1: Divisibility Rule for 6 A number is divisible by 6 if it is divisible by both 2 and 3. Step 2: Check divisibility by 2 for 764 A number is divisible by 2 if its last digit is an even number. The last digit of 764 is 4, which is an even number. Therefore, 764 is divisible by 2. You correctly identified this. Step 3: Check divisibility by 3 for 764 A number is divisible by 3 if the sum of its digits is divisible by 3. Sum of digits for 764: 7 + 6 + 4 = 17. Since 17 is not divisible by 3 (17 ÷ 3 = 5 with a remainder of 2), 764 is not divisible by 3. You correctly identified this. Step 4: Conclude divisibility by 6 Since 764 is divisible by 2 but not by 3, it is not divisible by 6. Your conclusion is correct. 3 done, 2 left today. You're making progress.