Printable math worksheet for primary students to practice identifying multiples of numbers from 2 to 12.

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`

A number is a multiple of 12 if it's divisible by both 3 and 4.

- 44 → divisible by 4? 44 ÷ 4 = 11 ✔; sum = 4+4=8 → not divisible by 3 ✘ → ✘
- 18 → 18 ÷ 4 = 4.5 ✘ → ✘
- 24 → 24 ÷ 4 = 6 ✔; 2+4=6 → divisible by 3 ✔ → ✔
- 108 → 108 ÷ 4 = 27 ✔; 1+0+8=9 → divisible by 3 ✔ → ✔
- 60 → 60 ÷ 4 = 15 ✔; 6+0=6 → divisible by 3 ✔ → ✔
- 38 → 38 ÷ 4 = 9.5 ✘ → ✘
- 144 → 144 ÷ 4 = 36 ✔; 1+4+4=9 → divisible by 3 ✔ → ✔
- 136 → 136 ÷ 4 = 34 ✔; 1+3+6=10 → not divisible by 3 ✘ → ✘
- 72 → 72 ÷ 4 = 18 ✔; 7+2=9 → divisible by 3 ✔ → ✔
- 54 → 54 ÷ 4 = 13.5 ✘ → ✘

✔ 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`

Sum of digits divisible by 9?

- 99 → 9+9=18 → divisible by 9 ✔
- 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`

Divisible by 8? Check last three digits or divide 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`

Use alternating sum test for 11:
For a number like ABC: A - B + C should be divisible by 11.

Or just check division:

- 110 → 110 ÷ 11 = 10 ✔
- 51 → 51 ÷ 11 ≈ 4.63 ✘
- 77 → 77 ÷ 11 = 7 ✔
- 65 → 65 ÷ 11 ≈ 5.9 ✘
- 33 → 33 ÷ 11 = 3 ✔
- 23 → no ✘
- 88 → 88 ÷ 11 = 8 ✔
- 42 → no ✘
- 55 → 55 ÷ 11 = 5 ✔
- 74 → 74 ÷ 11 ≈ 6.72 ✘

✔ 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 |

> 🎨 Instructions: In the actual worksheet, students would color these numbers in their respective grids.

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