Divisibility Rules 1 to 100

Divisibility Rules (1 to 50)

🔢 Basic Rules (1–10)

1: Every number is divisible by 1
2: Last digit is even (0, 2, 4, 6, 8)
3: Sum of digits is divisible by 3
4: Last 2 digits divisible by 4
5: Last digit is 0 or 5
6: Divisible by both 2 and 3
7: Double last digit, subtract from rest; result divisible by 7
8: Last 3 digits divisible by 8
9: Sum of digits divisible by 9
10: Last digit is 0

🔢 (11–20)

11: Difference between sum of alternate digits is 0 or divisible by 11
12: Divisible by both 3 and 4
13: Add 4×last digit to remaining number; result divisible by 13
14: Divisible by 2 and 7
15: Divisible by 3 and 5
16: Last 4 digits divisible by 16
17: Subtract 5×last digit from rest; result divisible by 17
18: Divisible by 2 and 9
19: Add 2×last digit to rest; result divisible by 19
20: Last digit is 0 and second last digit is even

🔢 (21–30)

21: Divisible by 3 and 7
22: Divisible by 2 and 11
23: Add 7×last digit to rest; divisible by 23
24: Divisible by 3 and 8
25: Last two digits are 00, 25, 50, 75
26: Divisible by 2 and 13
27: Sum of digits pattern rule or divisible by 27 check
28: Divisible by 4 and 7
29: Add 3×last digit to rest; divisible by 29
30: Divisible by 3, 5, and 2

🔢 (31–40)

31: Subtract 3×last digit from rest
32: Last 5 digits divisible by 32
33: Divisible by 3 and 11
34: Divisible by 2 and 17
35: Divisible by 5 and 7
36: Divisible by 4 and 9
37: Special cyclic rule (or check multiplication patterns)
38: Divisible by 2 and 19
39: Divisible by 3 and 13
40: Last two digits divisible by 40 (00, 40, 80)

🔢 (41–50)

41: Subtract 4×last digit from rest
42: Divisible by 6 and 7
43: Add 13×last digit to rest
44: Divisible by 4 and 11
45: Divisible by 5 and 9
46: Divisible by 2 and 23
47: Add 14×last digit to rest
48: Divisible by 6 and 8
49: Divisible by 7 (special square of 7 = 49 rule)
50: Last digit is 0 and last two digits divisible by 50 (00 or 50)

🔷 51–60

51: Divisible by 3 and 17
52: Divisible by 4 and 13
53: No simple rule → divide directly by 53
54: Divisible by 2 and 27 (or 3³ × 2)
55: Last digit 0 or 5 AND divisible by 11
56: Divisible by 7 and 8
57: Divisible by 3 and 19
58: Divisible by 2 and 29
59: No simple rule → direct division
60: Divisible by 2, 3, and 5

🔷 61–70

61: No shortcut rule → direct division
62: Divisible by 2 and 31
63: Divisible by 7 and 9
64: Last 6 digits divisible by 64
65: Last digit 0 or 5 AND divisible by 13
66: Divisible by 2, 3, and 11
67: No simple rule → direct division
68: Divisible by 4 and 17
69: Divisible by 3 and 23
70: Last digit 0 AND divisible by 7

🔷 71–80

71: No shortcut rule → direct division
72: Divisible by 8 and 9
73: No simple rule → direct division
74: Divisible by 2 and 37
75: Last two digits 00, 25, 50, or 75
76: Divisible by 4 and 19
77: Divisible by 7 and 11
78: Divisible by 2, 3, and 13
79: No shortcut rule → direct division
80: Last three digits divisible by 80

🔷 81–90

81: Sum of digits repeated till single digit = 9 or multiple of 9
82: Divisible by 2 and 41
83: No simple rule → direct division
84: Divisible by 7, 3, and 4
85: Last digit 0 or 5 AND divisible by 17
86: Divisible by 2 and 43
87: Divisible by 3 and 29
88: Divisible by 8 and 11
89: No shortcut rule → direct division
90: Divisible by 2, 3, and 5

🔷 91–100

91: Divisible by 7 and 13
92: Divisible by 4 and 23
93: Divisible by 3 and 31
94: Divisible by 2 and 47
95: Last digit 0 or 5 AND divisible by 19
96: Divisible by 3 and 32
97: No shortcut rule → direct division
98: Divisible by 2 and 49
99: Divisible by 9 and 11
100: Last two digits are 00