Question

for 3 - 8, use grids to find the factor pairs for each number.

1. 17
2. 37
3. 42
4. 29
5. 33
6. 48

Explanation:

Step1: Analyze Number 17

A factor pair is two numbers that multiply to give the original number. For 17, since 17 is a prime number, its only factor pairs are $1\times17$ and $17\times1$.

Step2: Analyze Number 37

37 is also a prime number. So its factor pairs are $1\times37$ and $37\times1$.

Step3: Analyze Number 42

To find factor pairs of 42, we start with 1: $1\times42 = 42$. Then 2: $2\times21 = 42$. Next 3: $3\times14 = 42$. Then 6: $6\times7 = 42$. Also, the reverse pairs (42×1, 21×2, 14×3, 7×6) are also factor pairs.

Step4: Analyze Number 29

29 is a prime number, so its factor pairs are $1\times29$ and $29\times1$.

Step5: Analyze Number 33

For 33, start with 1: $1\times33 = 33$. Then 3: $3\times11 = 33$. And the reverse pairs (33×1, 11×3).

Step6: Analyze Number 48

To find factor pairs of 48: $1\times48 = 48$, $2\times24 = 48$, $3\times16 = 48$, $4\times12 = 48$, $6\times8 = 48$. And the reverse pairs (48×1, 24×2, 16×3, 12×4, 8×6).

Answer:

• 3. 17: (1, 17), (17, 1)
• 4. 37: (1, 37), (37, 1)
• 5. 42: (1, 42), (2, 21), (3, 14), (6, 7), (7, 6), (14, 3), (21, 2), (42, 1)
• 6. 29: (1, 29), (29, 1)
• 7. 33: (1, 33), (3, 11), (11, 3), (33, 1)
• 8. 48: (1, 48), (2, 24), (3, 16), (4, 12), (6, 8), (8, 6), (12, 4), (16, 3), (24, 2), (48, 1)