Multiples - Worksheet Digital - Free Printable

Let's solve each row by identifying the missing multiples in the sequences. We’ll go step by step, using the known numbers to determine the pattern and fill in the blanks.

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1. Multiples of 2

Sequence: `__ 16 __ __ __ 24 __ __`

- Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, ...
- Given: 16 and 24
- So:
- Before 16: 14
- After 16: 18, 20, 22
- After 24: 26, 28

✔ Answer:
`14 16 18 20 22 24 26 28`

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2. Multiples of 3

Sequence: `21 __ __ __ 33 __ __`

- Multiples of 3: ..., 18, 21, 24, 27, 30, 33, 36, 39, ...
- Given: 21 and 33
- So:
- After 21: 24, 27, 30
- After 33: 36, 39

✔ Answer:
`21 24 27 30 33 36 39`

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3. Multiples of 4

Sequence: `__ __ __ __ __ 32 36`

- Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, ...
- Given: 32 and 36 → so before 32: 28, 24, 20, 16, 12, 8, 4
- But we need 5 blanks before 32, then 32, 36
- So:
- Before 32: 28, 24, 20, 16, 12 (but wait — there are 5 blanks before 32)
- Let’s list from earlier:
- 4, 8, 12, 16, 20, 24, 28, 32, 36
- So 5 blanks before 32: 4, 8, 12, 16, 20, 24, 28 → but only 5 blanks
- The sequence has 7 boxes: 5 blanks, then 32, 36
- So the first blank is the first multiple, and the last one is 36.
- So: positions:
- Box 1: ?
- Box 2: ?
- Box 3: ?
- Box 4: ?
- Box 5: ?
- Box 6: 32
- Box 7: 36

We know:
- 32 = 4×8
- 36 = 4×9

So previous ones:
- 4×7 = 28
- 4×6 = 24
- 4×5 = 20
- 4×4 = 16
- 4×3 = 12
- 4×2 = 8
- 4×1 = 4

So the full sequence should be:
- 4, 8, 12, 16, 20, 24, 28, 32, 36

But we have only 5 blanks, then 32, then 36.

So the five blanks must be:
- 28, 24, 20, 16, 12

Wait — that’s 5 numbers, then 32, then 36.

Yes! So:

✔ Answer:
`28 24 20 16 12 32 36`

(That makes sense: 12, 16, 20, 24, 28, 32, 36 — increasing by 4)

But wait — order matters.

Let’s count the boxes:

- Box 1: ?
- Box 2: ?
- Box 3: ?
- Box 4: ?
- Box 5: ?
- Box 6: 32
- Box 7: 36

So we need the five numbers before 32, then 32, then 36.

Multiples of 4:
- 28 (4×7), 24 (4×6), 20 (4×5), 16 (4×4), 12 (4×3), 8 (4×2), 4 (4×1)

So the five before 32 are: 28, 24, 20, 16, 12 → but that’s descending?

Wait — no. The sequence should be in order.

But if the last number is 36, and 32 is before it, then the sequence is increasing.

So the numbers before 32 must be smaller.

So let’s suppose the sequence increases.

Then:
- 32 is the 6th box
- 36 is the 7th
- So the 5th box is before 32 → must be 28
- Then 4th: 24
- 3rd: 20
- 2nd: 16
- 1st: 12

Wait — but 12 is less than 16? No — decreasing!

Wait — this suggests the sequence is decreasing, but usually multiples are listed in ascending order.

But here, the given numbers are 32 and 36, with 32 before 36 — so increasing

So:
- Box 6: 32
- Box 7: 36

So what comes before 32?

32 = 4×8

So previous multiples:
- 4×7 = 28
- 4×6 = 24
- 4×5 = 20
- 4×4 = 16
- 4×3 = 12
- 4×2 = 8
- 4×1 = 4

So the five boxes before 32 should be: 28, 24, 20, 16, 12

But that’s descending, which contradicts increasing order.

Wait — unless the sequence is not starting from the smallest.

But the problem says "write the missing numbers" — so likely the sequence is ordered.

But 32 is at position 6, 36 at 7 → so increasing.

So the numbers before 32 must be less than 32.

So:
- Box 5: ?
- Box 6: 32
- Box 7: 36

So Box 5 must be 28 (since 32–4=28)

Box 4: 24

Box 3: 20

Box 2: 16

Box 1: 12

But then the sequence is: 12, 16, 20, 24, 28, 32, 36 → all good!

Yes! So:

✔ Answer:
`12 16 20 24 28 32 36`

But wait — the first number is 12, then 16, etc.

Yes, that works.

So the five blanks are: 12, 16, 20, 24, 28

Then 32, 36

✔ Final Answer for Multiples of 4:
`12 16 20 24 28 32 36`

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4. Multiples of 5

Sequence: `__ __ 25 __ __ __ 45 __`

- Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, ...

Given: 25 and 45

- 25 = 5×5
- 45 = 5×9

So:
- Before 25: 20, 15, 10, 5
- After 25: 30, 35, 40
- After 45: 50

Now, sequence has 8 boxes:
- Box 1: ?
- Box 2: ?
- Box 3: 25
- Box 4: ?
- Box 5: ?
- Box 6: ?
- Box 7: 45
- Box 8: ?

So:
- Box 3: 25
- Box 7: 45

So:
- Box 2: 20 (before 25)
- Box 1: 15
- Wait — no: after 15 is 20, then 25

So:
- Box 1: 15
- Box 2: 20
- Box 3: 25
- Box 4: 30
- Box 5: 35
- Box 6: 40
- Box 7: 45
- Box 8: 50

Yes!

✔ Answer:
`15 20 25 30 35 40 45 50`

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5. Multiples of 9

Sequence: `__ 36 __ __ 63 __ __ 90`

- Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, ...

Given: 36, 63, 90

- 36 = 9×4
- 63 = 9×7
- 90 = 9×10

So:
- Before 36: 27 (9×3), 18 (9×2), 9 (9×1)
- Between 36 and 63: 45 (9×5), 54 (9×6)
- Between 63 and 90: 72 (9×8), 81 (9×9)

Now, sequence has 8 boxes:
- Box 1: ?
- Box 2: 36
- Box 3: ?
- Box 4: ?
- Box 5: 63
- Box 6: ?
- Box 7: ?
- Box 8: 90

So:
- Box 1: 27 (before 36)
- Box 2: 36
- Box 3: 45
- Box 4: 54
- Box 5: 63
- Box 6: 72
- Box 7: 81
- Box 8: 90

✔ Answer:
`27 36 45 54 63 72 81 90`

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6. Multiples of 11

Sequence: `33 __ __ __ __ __ 99 __`

- Multiples of 11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, ...

Given: 33 and 99

- 33 = 11×3
- 99 = 11×9

So:
- After 33: 44, 55, 66, 77, 88
- After 99: 110

Sequence has 8 boxes:
- Box 1: 33
- Box 2: ?
- Box 3: ?
- Box 4: ?
- Box 5: ?
- Box 6: ?
- Box 7: 99
- Box 8: ?

So:
- Box 1: 33
- Box 2: 44
- Box 3: 55
- Box 4: 66
- Box 5: 77
- Box 6: 88
- Box 7: 99
- Box 8: 110

✔ Answer:
`33 44 55 66 77 88 99 110`

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7. Multiples of 15

Sequence: `__ __ 45 __ __ 90 __ __`

- Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, ...

Given: 45 and 90

- 45 = 15×3
- 90 = 15×6

So:
- Before 45: 30 (15×2), 15 (15×1)
- After 45: 60 (15×4), 75 (15×5)
- After 90: 105 (15×7), 120 (15×8)

Sequence has 8 boxes:
- Box 1: ?
- Box 2: ?
- Box 3: 45
- Box 4: ?
- Box 5: ?
- Box 6: 90
- Box 7: ?
- Box 8: ?

So:
- Box 1: 15
- Box 2: 30
- Box 3: 45
- Box 4: 60
- Box 5: 75
- Box 6: 90
- Box 7: 105
- Box 8: 120

✔ Answer:
`15 30 45 60 75 90 105 120`

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8. Multiples of 25

Sequence: `__ __ __ 100 __ __ 175`

- Multiples of 25: 25, 50, 75, 100, 125, 150, 175, 200, ...

Given: 100 and 175

- 100 = 25×4
- 175 = 25×7

So:
- Before 100: 75 (25×3), 50 (25×2), 25 (25×1)
- After 100: 125 (25×5), 150 (25×6)
- After 175: 200 (25×8)

Sequence has 7 boxes:
- Box 1: ?
- Box 2: ?
- Box 3: ?
- Box 4: 100
- Box 5: ?
- Box 6: ?
- Box 7: 175

So:
- Box 1: 25
- Box 2: 50
- Box 3: 75
- Box 4: 100
- Box 5: 125
- Box 6: 150
- Box 7: 175

✔ Answer:
`25 50 75 100 125 150 175`

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9. Multiples of 30

Sequence: `__ 90 __ __ __ 210 __ __`

- Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, ...

Given: 90 and 210

- 90 = 30×3
- 210 = 30×7

So:
- Before 90: 60 (30×2), 30 (30×1)
- After 90: 120 (30×4), 150 (30×5), 180 (30×6)
- After 210: 240 (30×8), 270 (30×9)

Sequence has 8 boxes:
- Box 1: ?
- Box 2: 90
- Box 3: ?
- Box 4: ?
- Box 5: ?
- Box 6: 210
- Box 7: ?
- Box 8: ?

So:
- Box 1: 60 (before 90)
- Box 2: 90
- Box 3: 120
- Box 4: 150
- Box 5: 180
- Box 6: 210
- Box 7: 240
- Box 8: 270

✔ Answer:
`60 90 120 150 180 210 240 270`

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10. Multiples of 40

Sequence: `__ __ 160 __ __ __ 320 __`

- Multiples of 40: 40, 80, 120, 160, 200, 240, 280, 320, 360, ...

Given: 160 and 320

- 160 = 40×4
- 320 = 40×8

So:
- Before 160: 120 (40×3), 80 (40×2), 40 (40×1)
- After 160: 200 (40×5), 240 (40×6), 280 (40×7)
- After 320: 360 (40×9)

Sequence has 8 boxes:
- Box 1: ?
- Box 2: ?
- Box 3: 160
- Box 4: ?
- Box 5: ?
- Box 6: ?
- Box 7: 320
- Box 8: ?

So:
- Box 1: 80
- Box 2: 120
- Box 3: 160
- Box 4: 200
- Box 5: 240
- Box 6: 280
- Box 7: 320
- Box 8: 360

✔ Answer:
`80 120 160 200 240 280 320 360`

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## ✔ Final Answers:

| Multiples of | Numbers |
|-------------|--------|
| 2 | 14, 16, 18, 20, 22, 24, 26, 28 |
| 3 | 21, 24, 27, 30, 33, 36, 39 |
| 4 | 12, 16, 20, 24, 28, 32, 36 |
| 5 | 15, 20, 25, 30, 35, 40, 45, 50 |
| 9 | 27, 36, 45, 54, 63, 72, 81, 90 |
| 11 | 33, 44, 55, 66, 77, 88, 99, 110 |
| 15 | 15, 30, 45, 60, 75, 90, 105, 120 |
| 25 | 25, 50, 75, 100, 125, 150, 175 |
| 30 | 60, 90, 120, 150, 180, 210, 240, 270 |
| 40 | 80, 120, 160, 200, 240, 280, 320, 360 |

> 💡 Tip: Always check the common difference or multiplication factor to confirm the pattern. For example, multiples of 4 increase by 4, multiples of 5 by 5, etc.

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