Factor Forge Worksheet
NC.5.NBT.5 Multiplication Fluency
FACTOR FORGE
Name:
Date:
Score: /10
Essential Math Vocabulary
Reference key terms as you multiply
Factor
Numbers being multiplied together to find a product (e.g., \(245 \times 36\)).
Partial Product
Products formed by multiplying a factor by individual place-value digits before summing.
Product
The final total result of multiplying two or more factors together.
Standard Anatomy
2 4 5 ← Factor
× 3 6 ← Factor
1 4 7 0 ← 1st Partial
+ 7 3 5 0 ← 2nd Partial
8 8 2 0 ← Product
Part 1: 3-Digit by 2-Digit Computation
Show all partial products clearly in each workspace.
1. \( 246 \times 18 \) Align place values
Product:
2. \( 435 \times 32 \) Align place values
Product:
3. \( 582 \times 47 \) Regroup carefully
Product:
4. \( 719 \times 63 \) Regroup carefully
Product:
Reminder: Remember to insert the zero placeholder in the second partial product! Page 1 of 2
FACTOR FORGE • Multi-Digit Practice & Application
Name:
Page 2 of 2
Part 2: 3-Digit & 4-Digit by 2-Digit Fluency
Record both partial products before finding the sum.
5. \( 854 \times 56 \) 3-digit × 2-digit
Product:
6. \( 1,234 \times 25 \) 4-digit × 2-digit
Product:
7. \( 2,408 \times 34 \) Watch the zero!
Product:
8. \( 3,675 \times 48 \) 4-digit × 2-digit
Product:
Part 3: Real-World Word Problems
Identify the factors and multiply to solve.
Problem 9 Word Problem
The Blue Ridge Elementary book fair received 38 boxes of chapter books. If each box contains 145 books, how many total books did the school receive?
Answer: books
Problem 10 Word Problem
A solar facility in eastern North Carolina has 64 arrays of panels. Each array generates 1,280 kilowatt-hours of clean energy daily. How many total kilowatt-hours are produced each day?
Answer: kWh
Self-Reflection Checklist:
Aligned place values Used zero placeholder Added partial products