Factors, GCF, & Distributive Property

Front

What is a factor?

Back

A factor is a whole number that can be divided evenly into another number. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12.

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder. For example, the GCF of 12 and 18 is 6.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication over each addend.

Front

Evaluate: 3(4 + 5) using the Distributive Property.

Back

3(4 + 5) = 3*4 + 3*5 = 12 + 15 = 27.

Front

What are the steps to find the GCF of two numbers?

Back

1. List the factors of each number. 2. Identify the common factors. 3. Choose the largest common factor.

Front

Find the GCF of 24 and 36.

Back

The GCF of 24 and 36 is 12.

Front

What is an expression?

Back

An expression is a combination of numbers, variables, and operations (like addition and multiplication) that represents a value.

Front

Write an expression for the total cost of 5 tickets at $10 each.

Back

5 * 10 = 50.

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting numbers for variables and performing the operations.

Front

What are the factors of 30?

Back

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.