Identifying Multiples - Worksheet | Math 4th Grade - Free Printable

Let's solve the "Identifying Multiples Worksheet" step by step. The task is to identify and color the multiples of given numbers in each grid.

We’ll go through each section one by one, identify which numbers are multiples of the specified number, and list them clearly.

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🔹 1. Colour the multiples of 6

Numbers:
`18, 25, 36, 6, 56, 16, 48, 3, 12, 40`

Multiples of 6: Numbers divisible by 6 (i.e., divisible by both 2 and 3)

- 18 → 18 ÷ 6 = 3 ✔
- 25 → not divisible by 6 ✘
- 36 → 36 ÷ 6 = 6 ✔
- 6 → 6 ÷ 6 = 1 ✔
- 56 → 56 ÷ 6 = 9.33… ✘
- 16 → not divisible by 6 ✘
- 48 → 48 ÷ 6 = 8 ✔
- 3 → not divisible by 6 ✘
- 12 → 12 ÷ 6 = 2 ✔
- 40 → not divisible by 6 ✘

✔ Multiples of 6: 18, 36, 6, 48, 12

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🔹 2. Colour the multiples of 10

Numbers:
`95, 60, 29, 50, 70, 30, 35, 100, 18, 49`

Multiples of 10 end in 0.

- 95 → ends in 5 ✘
- 60 → ends in 0 ✔
- 29 → no ✘
- 50 → ends in 0 ✔
- 70 → ends in 0 ✔
- 30 → ends in 0 ✔
- 35 → no ✘
- 100 → ends in 0 ✔
- 18 → no ✘
- 49 → no ✘

✔ Multiples of 10: 60, 50, 70, 30, 100

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🔹 3. Colour the multiples of 7

Numbers:
`21, 54, 63, 17, 70, 49, 35, 79, 82, 27`

Check divisibility by 7:

- 21 → 21 ÷ 7 = 3 ✔
- 54 → 54 ÷ 7 ≈ 7.71 ✘
- 63 → 63 ÷ 7 = 9 ✔
- 17 → no ✘
- 70 → 70 ÷ 7 = 10 ✔
- 49 → 49 ÷ 7 = 7 ✔
- 35 → 35 ÷ 7 = 5 ✔
- 79 → 79 ÷ 7 ≈ 11.28 ✘
- 82 → no ✘
- 27 → no ✘

✔ Multiples of 7: 21, 63, 70, 49, 35

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🔹 4. Colour the multiples of 2

Numbers:
`16, 21, 36, 104, 85, 43, 310, 97, 34, 69`

Even numbers (divisible by 2):

- 16 → even ✔
- 21 → odd ✘
- 36 → even ✔
- 104 → even ✔
- 85 → odd ✘
- 43 → odd ✘
- 310 → even ✔
- 97 → odd ✘
- 34 → even ✔
- 69 → odd ✘

✔ Multiples of 2: 16, 36, 104, 310, 34

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🔹 5. Colour the multiples of 3

Numbers:
`11, 36, 25, 5, 15, 30, 26, 37, 27, 9`

A number is a multiple of 3 if the sum of its digits is divisible by 3.

- 11 → 1+1=2 ✘
- 36 → 3+6=9 ✔
- 25 → 2+5=7 ✘
- 5 → 5 ✘
- 15 → 1+5=6 ✔
- 30 → 3+0=3 ✔
- 26 → 2+6=8 ✘
- 37 → 3+7=10 ✘
- 27 → 2+7=9 ✔
- 9 → 9 ✔

✔ Multiples of 3: 36, 15, 30, 27, 9

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🔹 6. Colour the multiples of 12

Numbers:
`44, 18, 24, 108, 60, 38, 144, 136, 72, 54`

Multiples of 12 must be divisible by both 3 and 4.

Check each:

- 44 → 44 ÷ 12 ≈ 3.67 ✘
- 18 → 18 ÷ 12 = 1.5 ✘
- 24 → 24 ÷ 12 = 2 ✔
- 108 → 108 ÷ 12 = 9 ✔
- 60 → 60 ÷ 12 = 5 ✔
- 38 → 38 ÷ 12 ≈ 3.17 ✘
- 144 → 144 ÷ 12 = 12 ✔
- 136 → 136 ÷ 12 ≈ 11.33 ✘
- 72 → 72 ÷ 12 = 6 ✔
- 54 → 54 ÷ 12 = 4.5 ✘

✔ Multiples of 12: 24, 108, 60, 144, 72

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🔹 7. Colour the multiples of 9

Numbers:
`99, 81, 76, 15, 33, 29, 106, 27, 45, 63`

A number is a multiple of 9 if the sum of digits is divisible by 9.

- 99 → 9+9=18 ✔
- 81 → 8+1=9 ✔
- 76 → 7+6=13 ✘
- 15 → 1+5=6 ✘
- 33 → 3+3=6 ✘
- 29 → 2+9=11 ✘
- 106 → 1+0+6=7 ✘
- 27 → 2+7=9 ✔
- 45 → 4+5=9 ✔
- 63 → 6+3=9 ✔

✔ Multiples of 9: 99, 81, 27, 45, 63

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🔹 8. Colour the multiples of 8

Numbers:
`18, 60, 34, 26, 84, 32, 56, 16, 88, 24`

A number is divisible by 8 if the last three digits form a number divisible by 8. Since all are two-digit numbers, just check directly.

- 18 → 18 ÷ 8 = 2.25 ✘
- 60 → 60 ÷ 8 = 7.5 ✘
- 34 → 34 ÷ 8 = 4.25 ✘
- 26 → 26 ÷ 8 = 3.25 ✘
- 84 → 84 ÷ 8 = 10.5 ✘
- 32 → 32 ÷ 8 = 4 ✔
- 56 → 56 ÷ 8 = 7 ✔
- 16 → 16 ÷ 8 = 2 ✔
- 88 → 88 ÷ 8 = 11 ✔
- 24 → 24 ÷ 8 = 3 ✔

✔ Multiples of 8: 32, 56, 16, 88, 24

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🔹 9. Colour the multiples of 11

Numbers:
`110, 51, 77, 65, 33, 23, 88, 42, 55, 74`

Rule for 11: Alternating sum of digits is divisible by 11.

Or just divide directly.

- 110 → 110 ÷ 11 = 10 ✔
- 51 → 51 ÷ 11 ≈ 4.63 ✘
- 77 → 77 ÷ 11 = 7 ✔
- 65 → 65 ÷ 11 ≈ 5.91 ✘
- 33 → 33 ÷ 11 = 3 ✔
- 23 → 23 ÷ 11 ≈ 2.09 ✘
- 88 → 88 ÷ 11 = 8 ✔
- 42 → 42 ÷ 11 ≈ 3.82 ✘
- 55 → 55 ÷ 11 = 5 ✔
- 74 → 74 ÷ 11 ≈ 6.73 ✘

✔ Multiples of 11: 110, 77, 33, 88, 55

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✔ Final Answer Summary:

| Section | Multiples to Colour |
|--------|---------------------|
| Multiples of 6 | 18, 36, 6, 48, 12 |
| Multiples of 10 | 60, 50, 70, 30, 100 |
| Multiples of 7 | 21, 63, 70, 49, 35 |
| Multiples of 2 | 16, 36, 104, 310, 34 |
| Multiples of 3 | 36, 15, 30, 27, 9 |
| Multiples of 12 | 24, 108, 60, 144, 72 |
| Multiples of 9 | 99, 81, 27, 45, 63 |
| Multiples of 8 | 32, 56, 16, 88, 24 |
| Multiples of 11 | 110, 77, 33, 88, 55 |

> 💡 Tip for students: Use a pencil or highlighter to colour these numbers on the worksheet.

Let me know if you'd like this formatted as a printable answer sheet!