Factor Detective Worksheet
Factor Detective
Multiplication Table of 8 • Missing Factors
Name:
Date: Score:
Multiples of 8 Reference Strip Skip-count by 8s
8
16
24
32
40
48
56
64
72
80
88
96
A
Find the Missing Factor: 8 × □ = Product
Write the missing number in the box
8 ×
= 24
8 ×
= 56
8 ×
= 40
8 ×
= 64
8 ×
= 16
8 ×
= 72
8 ×
= 32
8 ×
= 48
8 ×
= 80
8 ×
= 8
8 ×
= 88
8 ×
= 96
B
Find the Missing Factor: □ × 8 = Product
Write the missing number in the box
× 8 = 32
× 8 = 56
× 8 = 72
× 8 = 48
× 8 = 80
× 8 = 64
× 8 = 16
× 8 = 40
× 8 = 24
× 8 = 8
× 8 = 0
× 8 = 88
Octo Powers • Page 1 of 2 Turn over for Product-First Equations & Factor Wheels ➔
Factor Detective: Missing Factor Investigations
Multiplication Practice
C
Product First: Fill in the Missing Box
The product is on the left side of the equals sign
48 = 8 ×
72 =
× 8
64 = 8 ×
40 =
× 8
56 = 8 ×
16 =
× 8
80 = 8 ×
32 =
× 8
D
Match the Equation to its Missing Factor
Draw a line connecting each equation to the correct factor
a. \(8 \times \square = 56\)
b. \(\square \times 8 = 24\)
c. \(8 \times \square = 72\)
d. \(\square \times 8 = 40\)
e. \(8 \times \square = 64\)
□ = 9
□ = 7
□ = 3
□ = 8
□ = 5
E
Multiplication Wheels: Center × Inner = Outer Product
Multiply the center (8) by each factor to get the outer product
Wheel 1: Center is 8
8 × [ ? ]
= 16
8 × [ ? ]
= 32
8 × [ ? ]
= 48
8 × [ ? ]
= 64
Wheel 2: Center is 8
8 × [ ? ]
= 40
8 × [ ? ]
= 56
8 × [ ? ]
= 72
8 × [ ? ]
= 80
Octo Powers • Page 2 of 2 Multiplication Fluency: 3.OA.A.4
Octo Sprint Mixed Review Worksheet
Octo Sprint Mixed Review
Multiplication Table of 8 • Fluency & Missing Factors
Name:
Date: Score:
Practice multiplication facts and find missing factors for the 8 times table. 8 × 0 to 8 × 12
1
Multiplication Fluency Sprint
Multiply each pair of factors
8 × 3 =
8 × 7 =
8 × 5 =
8 × 9 =
8 × 2 =
8 × 6 =
4 × 8 =
8 × 8 =
1 × 8 =
8 × 4 =
8 × 0 =
8 × 10 =
6 × 8 =
8 × 11 =
7 × 8 =
8 × 12 =
9 × 8 =
5 × 8 =
2
Missing Factor Equations
Fill in the unknown factor in each multiplication statement
#1
8 ×
= 48
#2
× 8 = 72
#3
8 ×
= 32
#4
× 8 = 80
#5
56 = 8 ×
#6
× 8 = 64
#7
8 ×
= 24
#8
× 8 = 88
3
Multiplication Fact Check: True or False
Check T or F. If false, write the correct multiplication fact
8 × 7 = 54
T
F
Correct Fact:
8 × 6 = 48
T
F
Correct Fact:
8 × 8 = 66
T
F
Correct Fact:
9 × 8 = 72
T
F
Correct Fact:
Octo Powers • Page 1 of 2 Turn over for Comparisons, Input-Output Tables & Grid ➔
Octo Sprint: Tables, Comparisons & Commutative Facts
Multiplication Practice
4
Compare Using >, <, or =
Write >, <, or = inside each circle
8 × 4
8 × 3
8 × 6
6 × 8
8 × 7
8 × 8
8 × 5
4 × 8
8 × 9
8 × 10
8 × 2
2 × 8
5
Input-Output Tables: Rule = Multiply by 8
Multiply each input number by 8 to find the output
Table A Rule: Input × 8 = Output
|
| 7 |
|
| 9 |
|
Table B Rule: Input × 8 = Output
|
| 8 |
|
| 11 |
|
6
Commutative Property: Match Equal Multiplication Pairs
Example: 8 × 4 has the same product as 4 × 8
8 × 6
= × 8
=
8 × 9
= × 8
=
8 × 7
= × 8
=
8 × 5
= × 8
=
7
Octo-Multiplier Row Grid
Multiply the row factor (8) by each column factor
×
2
3
4
5
6
7
8
9
8
Octo Powers • Page 2 of 2 Mastery Standard: 3.OA.C.7
Eight Masters Answer Key
Teacher Answer Key
Factor Detective Worksheet Solutions • Multiplication Only
WORKSHEET 1 KEY
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96 Pure Multiplication
A
Section A: 8 × □ = Product (Solutions)
1. 8 × [ 3 ] = 24 □ = 3
2. 8 × [ 7 ] = 56 □ = 7
3. 8 × [ 5 ] = 40 □ = 5
4. 8 × [ 8 ] = 64 □ = 8
5. 8 × [ 2 ] = 16 □ = 2
6. 8 × [ 9 ] = 72 □ = 9
7. 8 × [ 4 ] = 32 □ = 4
8. 8 × [ 6 ] = 48 □ = 6
9. 8 × [ 10 ] = 80 □ = 10
10. 8 × [ 1 ] = 8 □ = 1
11. 8 × [ 11 ] = 88 □ = 11
12. 8 × [ 12 ] = 96 □ = 12
B
Section B: □ × 8 = Product (Solutions)
13. [ 4 ] × 8 = 32 □ = 4
14. [ 7 ] × 8 = 56 □ = 7
15. [ 9 ] × 8 = 72 □ = 9
16. [ 6 ] × 8 = 48 □ = 6
17. [ 10 ] × 8 = 80 □ = 10
18. [ 8 ] × 8 = 64 □ = 8
19. [ 2 ] × 8 = 16 □ = 2
20. [ 5 ] × 8 = 40 □ = 5
21. [ 3 ] × 8 = 24 □ = 3
22. [ 1 ] × 8 = 8 □ = 1
23. [ 0 ] × 8 = 0 □ = 0
24. [ 11 ] × 8 = 88 □ = 11
C
Section C: Product First
25. 48 = 8 × [ 6 ]
26. 72 = [ 9 ] × 8
27. 64 = 8 × [ 8 ]
28. 40 = [ 5 ] × 8
29. 56 = 8 × [ 7 ]
30. 16 = [ 2 ] × 8
31. 80 = 8 × [ 10 ]
32. 32 = [ 4 ] × 8
D
Section D: Matching Key
a. \(8 \times \square = 56 \implies\) □ = 7
b. \(\square \times 8 = 24 \implies\) □ = 3
c. \(8 \times \square = 72 \implies\) □ = 9
d. \(\square \times 8 = 40 \implies\) □ = 5
e. \(8 \times \square = 64 \implies\) □ = 8
E
Section E: Multiplication Wheels (Solutions)
Wheel 1 (Outer Products):
8 × [ 2 ] = 16
8 × [ 4 ] = 32
8 × [ 6 ] = 48
8 × [ 8 ] = 64
Wheel 2 (Outer Products):
8 × [ 5 ] = 40
8 × [ 7 ] = 56
8 × [ 9 ] = 72
8 × [ 10 ] = 80
Octo Powers • Teacher Answer Key (Page 1 of 2) Turn over for Octo Sprint Mixed Review Solutions ➔
Octo Sprint Mixed Review: Answer Key
WORKSHEET 2 KEY
1
Section 1: Fluency Sprint Solutions
8×3 = 24
4×8 = 32
6×8 = 48
8×7 = 56
8×8 = 64
8×11 = 88
8×5 = 40
1×8 = 8
7×8 = 56
8×9 = 72
8×4 = 32
8×12 = 96
8×2 = 16
8×0 = 0
9×8 = 72
8×6 = 48
8×10 = 80
5×8 = 40
2
Section 2: Missing Factor Solutions
#1. 8 × [ 6 ] = 48
#2. [ 9 ] × 8 = 72
#3. 8 × [ 4 ] = 32
#4. [ 10 ] × 8 = 80
#5. 56 = 8 × [ 7 ]
#6. [ 8 ] × 8 = 64
#7. 8 × [ 3 ] = 24
#8. [ 11 ] × 8 = 88
3
Section 3: Fact Check (True / False Solutions)
8 × 7 = 54 → FALSE.
Correct Multiplication: 8 × 7 = 56
8 × 6 = 48 → TRUE.
Multiplication statement is correct.
8 × 8 = 66 → FALSE.
Correct Multiplication: 8 × 8 = 64
9 × 8 = 72 → TRUE.
Multiplication statement is correct.
4
Section 4: Comparison Keys
8 × 4 > 8 × 3
8 × 6 = 6 × 8
8 × 7 < 8 × 8
8 × 5 > 4 × 8
8 × 9 < 8 × 10
8 × 2 = 2 × 8
5
Section 5: Input-Output Tables
Table A:
2 × 8 = 16
5 × 8 = 40
7 × 8 = 56
9 × 8 = 72
Table B:
3 × 8 = 24
6 × 8 = 48
8 × 8 = 64
11 × 8 = 88
Sections 6 & 7: Commutative Pairs & Grid Row
8 × 6 = 6 × 8 = 48
8 × 9 = 9 × 8 = 72
8 × 7 = 7 × 8 = 56
8 × 5 = 5 × 8 = 40
Octo-Grid Row Products:
8×2 = 16
8×3 = 24
8×4 = 32
8×5 = 40
8×6 = 48
8×7 = 56
8×8 = 64
8×9 = 72
Octo Powers • Teacher Answer Key (Page 2 of 2) Multiplication Fluency Standard: 3.OA.C.7
