Chapter 5.1

Arrays and factors


What You'll Learn

Visualize multiplication using arrays arranged in equal-sized rows and columns
Identify factors of numbers by drawing and analyzing array arrangements
Apply the distributive property to break down complex multiplication into simpler steps
Rewrite multiplication expressions in expanded form using place value
Calculate products by multiplying rows times columns in array diagrams

What You'll Practice

1

Writing products for arrays by counting rows and columns

2

Drawing arrays to find all factors of given numbers

3

Using the distributive property to multiply two-digit and three-digit numbers

4

Rewriting multiplication in expanded form and solving step-by-step

Why This Matters

Understanding arrays and factors builds your foundation for algebra, fraction simplification, and problem-solving. These visual strategies help you break down difficult multiplication into manageable parts, making mental math easier and preparing you for more advanced topics like prime factorization and algebraic expressions.

This Unit Includes

17 Video lessons
Practice exercises

Skills

Arrays
Factors
Multiplication
Distributive Property
Expanded Form
Place Value
Visual Models
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