Printable primary math worksheet for math grades 1 to 6 based on ... - Free Printable

Let's solve each part of the Divisibility Rules worksheet step by step, applying the rules provided.

---

🔹 Divisible by 2?

*Rule:* A number is divisible by 2 if it ends in 0, 2, 4, 6, or 8 (i.e., it's even).

| Number | Divisible by 2? |
|--------|-----------------|
| 56 | Yes (ends in 6) |
| 101 | No (ends in 1) |
| 250 | Yes (ends in 0) |
| 3,077 | No (ends in 7) |
| 22,098 | Yes (ends in 8) |

✔ Answers: Yes, No, Yes, No, Yes

---

🔹 Divisible by 3?

*Rule:* If the sum of the digits is a multiple of 3.

| Number | Sum of Digits | Divisible by 3? |
|--------|----------------|-----------------|
| 66 | 6 + 6 = 12 → 12 ÷ 3 = 4 → yes | Yes |
| 113 | 1 + 1 + 3 = 5 → not divisible by 3 | No |
| 255 | 2 + 5 + 5 = 12 → 12 ÷ 3 = 4 → yes | Yes |
| 3,078 | 3 + 0 + 7 + 8 = 18 → 18 ÷ 3 = 6 → yes | Yes |
| 10,125 | 1 + 0 + 1 + 2 + 5 = 9 → 9 ÷ 3 = 3 → yes | Yes |

✔ Answers: Yes, No, Yes, Yes, Yes

> Note: The number listed is 3,078, but in your image it says "3,078" — let me confirm:
> Wait — the original says 3,078? But you wrote 3,077 earlier. Let's check:

Actually, looking at your image:
- In "Divisible by 3?" section: 3,078 is listed (not 3,077). So we use 3,078.

So sum: 3+0+7+8 = 18 → divisible by 3 → ✔ Yes

And 10,125: 1+0+1+2+5 = 9 → ✔ Yes

✔ Final: Yes, No, Yes, Yes, Yes

---

🔹 Divisible by 4?

*Rule:* If the last two digits form a number divisible by 4.

| Number | Last Two Digits | Divisible by 4? |
|--------|------------------|-----------------|
| 82 | 82 → 82 ÷ 4 = 20.5 → no | No |
| 116 | 16 → 16 ÷ 4 = 4 → yes | Yes |
| 114 | 14 → 14 ÷ 4 = 3.5 → no | No |
| 3,072 | 72 → 72 ÷ 4 = 18 → yes | Yes |
| 16,164 | 64 → 64 ÷ 4 = 16 → yes | Yes |

✔ Answers: No, Yes, No, Yes, Yes

> Note: You wrote "3,072" — correct. And "16,164" → last two digits are 64 → yes.

---

🔹 Divisible by 5?

*Rule:* Ends in 0 or 5

| Number | Ends in 0 or 5? | Divisible by 5? |
|--------|------------------|-----------------|
| 74 | Ends in 4 → no | No |
| 125 | Ends in 5 → yes | Yes |
| 280 | Ends in 0 → yes | Yes |
| 1,090 | Ends in 0 → yes | Yes |
| 24,013 | Ends in 3 → no | No |

✔ Answers: No, Yes, Yes, Yes, No

---

🔹 Divisible by 6?

*Rule:* Must be divisible by both 2 and 3

We'll check both conditions for each number.

| Number | Even? (div by 2) | Sum of digits | Div by 3? | Div by 6? |
|--------|------------------|---------------|-----------|-----------|
| 72 | Yes (ends in 2) | 7+2=9 → yes | Yes | ✔ Yes |
| 112 | Yes (ends in 2) | 1+1+2=4 → no | No | ✘ No |
| 246 | Yes (ends in 6) | 2+4+6=12 → yes| Yes | ✔ Yes |
| 2,208 | Yes (ends in 8) | 2+2+0+8=12 → yes | Yes | ✔ Yes |
| 17,333 | Ends in 3 → odd → no | - | No | ✘ No |

✔ Answers: Yes, No, Yes, Yes, No

---

🔹 Divisible by 9?

*Rule:* Sum of digits is a multiple of 9.

| Number | Sum of Digits | Divisible by 9? |
|--------|----------------|-----------------|
| 89 | 8+9=17 → no | No |
| 117 | 1+1+7=9 → yes | Yes |
| 414 | 4+1+4=9 → yes | Yes |
| 6,021 | 6+0+2+1=9 → yes| Yes |
| 99,899 | 9+9+8+9+9 = 44 → 44 ÷ 9 = 4.88… → no | No |

✔ Answers: No, Yes, Yes, Yes, No

---

✔ Final Answer Table:

#### 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

---

📝 Summary of Answers (in order):

| Rule | Answers |
|------|---------|
| Div by 2 | Yes, No, Yes, No, Yes |
| Div by 3 | Yes, No, Yes, Yes, Yes |
| Div by 4 | No, Yes, No, Yes, Yes |
| Div by 5 | No, Yes, Yes, Yes, No |
| Div by 6 | Yes, No, Yes, Yes, No |
| Div by 9 | No, Yes, Yes, Yes, No |

You can now fill these into the boxes on the worksheet accordingly! ✔