Step 2
Since the result is 0, which is divisible by 11, the number 4873 is divisible by 11.
Verification: 4873 ÷ 11 = 443 (exact division)
Alternate method using shortcut:
(4+7) - (8+3) = 11 - 11 = 0
Since result is 0, number is divisible by 11.
Advanced Trick: For checking divisibility by 7, 11, 13 simultaneously, divide the number into groups of 3 digits from right. Apply alternating sum. If divisible by 7, 11, or 13, the original number follows the same divisibility.
Common Mistake: Students often confuse the divisibility rule for 4 with checking only the last digit. Remember, you need to check the last TWO digits, not just one. Also, for rule of 11, maintain the correct alternating pattern - start from the rightmost digit.
Practice Tip: Create a mental checklist of these rules. In exams, quickly eliminate options using these rules rather than performing lengthy divisions.