Divisibility Rules Worksheet - Practice determining if numbers are divisible by 2, 3, 4, 5, 6, or 9.

Let’s go step by step through each divisibility rule and check every number.

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Divisible by 2?
Rule: If the number ends in 0, 2, 4, 6, or 8 → yes. Otherwise → no.

- 56 → ends in 6 → yes
- 101 → ends in 1 → no
- 250 → ends in 0 → yes
- 3,077 → ends in 7 → no
- 22,098 → ends in 8 → yes

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Divisible by 3?
Rule: Add up all the digits. If the sum is divisible by 3 → yes. Otherwise → no.

- 66 → 6 + 6 = 12 → 12 ÷ 3 = 4 → yes
- 113 → 1 + 1 + 3 = 5 → 5 not divisible by 3 → no
- 255 → 2 + 5 + 5 = 12 → 12 ÷ 3 = 4 → yes
- 3,078 → 3 + 0 + 7 + 8 = 18 → 18 ÷ 3 = 6 → yes
- 10,125 → 1 + 0 + 1 + 2 + 5 = 9 → 9 ÷ 3 = 3 → yes

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Divisible by 4?
Rule: Look at the last two digits. If that number is divisible by 4 → yes. Otherwise → no.

- 82 → last two digits: 82 → 82 ÷ 4 = 20.5 → not whole → no
- 116 → last two digits: 16 → 16 ÷ 4 = 4 → yes
- 114 → last two digits: 14 → 14 ÷ 4 = 3.5 → no
- 3,072 → last two digits: 72 → 72 ÷ 4 = 18 → yes
- 16,164 → last two digits: 64 → 64 ÷ 4 = 16 → yes

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Divisible by 5?
Rule: Ends in 0 or 5 → yes. Otherwise → no.

- 74 → ends in 4 → no
- 125 → ends in 5 → yes
- 280 → ends in 0 → yes
- 1,090 → ends in 0 → yes
- 24,013 → ends in 3 → no

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Divisible by 6?
Rule: Must be divisible by BOTH 2 AND 3.

Check each:

- 72 → even? yes (ends in 2). Sum of digits: 7+2=9 → divisible by 3 → yes
- 112 → even? yes. Sum: 1+1+2=4 → not divisible by 3 → no
- 246 → even? yes. Sum: 2+4+6=12 → divisible by 3 → yes
- 2,208 → even? yes. Sum: 2+2+0+8=12 → divisible by 3 → yes
- 17,333 → odd? yes → not divisible by 2 → no

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Divisible by 9?
Rule: Add up all digits. If sum is divisible by 9 → yes. Otherwise → no.

- 89 → 8+9=17 → 17 not divisible by 9 → no
- 117 → 1+1+7=9 → 9 ÷ 9 = 1 → yes
- 414 → 4+1+4=9 → yes
- 6,021 → 6+0+2+1=9 → yes
- 99,899 → 9+9+8+9+9 = 44 → 44 ÷ 9 = 4.88… → not whole → no

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Final Answer:

Divisible by 2?
56 → yes
101 → no
250 → yes
3,077 → no
22,098 → yes

Divisible by 3?
66 → yes
113 → no
255 → yes
3,078 → yes
10,125 → yes

Divisible by 4?
82 → no
116 → yes
114 → no
3,072 → yes
16,164 → yes

Divisible by 5?
74 → no
125 → yes
280 → yes
1,090 → yes
24,013 → no

Divisible by 6?
72 → yes
112 → no
246 → yes
2,208 → yes
17,333 → no

Divisible by 9?
89 → no
117 → yes
414 → yes
6,021 → yes
99,899 → no