Factors and Multiples Worksheet - Free Printable

Let’s go step by step to find all the factor pairs for numbers from 2 to 20.

A factor pair is two numbers that multiply together to give the original number. For example, for 12:
→ 1 × 12 = 12 → so (1 and 12) is a factor pair
→ 2 × 6 = 12 → so (2 and 6) is a factor pair
→ 3 × 4 = 12 → so (3 and 4) is a factor pair

We’ll do this for each number from 2 to 20. We only need to check numbers up to half of the target number (or until we start repeating pairs).

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Let’s fill in the table row by row:

Number 2:
Only 1 × 2 = 2 → Factor Pair 1: 1 and 2
No other pairs → leave Pair 2 and 3 blank

Number 3:
1 × 3 = 3 → Factor Pair 1: 1 and 3
Prime — no other pairs

Number 4:
1 × 4 = 4 → Pair 1: 1 and 4
2 × 2 = 4 → Pair 2: 2 and 2
(No more — next would be 4×1 which repeats)

Number 5:
1 × 5 = 5 → Pair 1: 1 and 5
Prime

Number 6:
1 × 6 = 6 → Pair 1: 1 and 6
2 × 3 = 6 → Pair 2: 2 and 3

Number 7:
1 × 7 = 7 → Pair 1: 1 and 7
Prime

Number 8:
1 × 8 = 8 → Pair 1: 1 and 8
2 × 4 = 8 → Pair 2: 2 and 4
(Next would be 4×2 — repeat)

Number 9:
1 × 9 = 9 → Pair 1: 1 and 9
3 × 3 = 9 → Pair 2: 3 and 3

Number 10:
1 × 10 = 10 → Pair 1: 1 and 10
2 × 5 = 10 → Pair 2: 2 and 5

Number 11:
1 × 11 = 11 → Pair 1: 1 and 11
Prime

Number 12:
1 × 12 = 12 → Pair 1: 1 and 12
2 × 6 = 12 → Pair 2: 2 and 6
3 × 4 = 12 → Pair 3: 3 and 4

Number 13:
1 × 13 = 13 → Pair 1: 1 and 13
Prime

Number 14:
1 × 14 = 14 → Pair 1: 1 and 14
2 × 7 = 14 → Pair 2: 2 and 7

Number 15:
1 × 15 = 15 → Pair 1: 1 and 15
3 × 5 = 15 → Pair 2: 3 and 5

Number 16:
1 × 16 = 16 → Pair 1: 1 and 16
2 × 8 = 16 → Pair 2: 2 and 8
4 × 4 = 16 → Pair 3: 4 and 4

Number 17:
1 × 17 = 17 → Pair 1: 1 and 17
Prime

Number 18:
1 × 18 = 18 → Pair 1: 1 and 18
2 × 9 = 18 → Pair 2: 2 and 9
3 × 6 = 18 → Pair 3: 3 and 6

Number 19:
1 × 19 = 19 → Pair 1: 1 and 19
Prime

Number 20:
1 × 20 = 20 → Pair 1: 1 and 20
2 × 10 = 20 → Pair 2: 2 and 10
4 × 5 = 20 → Pair 3: 4 and 5

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Now, let’s identify the prime numbers — these are numbers with exactly 2 factors: 1 and themselves.

From our list above, the prime numbers between 2 and 20 are:
→ 2, 3, 5, 7, 11, 13, 17, 19

These should be highlighted in the table.

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Final Answer:

Here is the completed table with factor pairs filled in:

| NUMBER | FACTOR PAIR 1 | FACTOR PAIR 2 | FACTOR PAIR 3 |
|--------|-------------------|-------------------|-------------------|
| 2 | 1 and 2 | | |
| 3 | 1 and 3 | | |
| 4 | 1 and 4 | 2 and 2 | |
| 5 | 1 and 5 | | |
| 6 | 1 and 6 | 2 and 3 | |
| 7 | 1 and 7 | | |
| 8 | 1 and 8 | 2 and 4 | |
| 9 | 1 and 9 | 3 and 3 | |
| 10 | 1 and 10 | 2 and 5 | |
| 11 | 1 and 11 | | |
| 12 | 1 and 12 | 2 and 6 | 3 and 4 |
| 13 | 1 and 13 | | |
| 14 | 1 and 14 | 2 and 7 | |
| 15 | 1 and 15 | 3 and 5 | |
| 16 | 1 and 16 | 2 and 8 | 4 and 4 |
| 17 | 1 and 17 | | |
| 18 | 1 and 18 | 2 and 9 | 3 and 6 |
| 19 | 1 and 19 | | |
| 20 | 1 and 20 | 2 and 10 | 4 and 5 |

Prime numbers to highlight: 2, 3, 5, 7, 11, 13, 17, 19