The Distributive Property and Factoring

Front

What does GCF stand for?

Back

GCF stands for Greatest Common Factor.

Front

True or False: FACTORS are the numbers or variables being multiplied in a multiplication problem.

Back

True.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a number across a sum.

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor they have in common.

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions.

Front

What is the difference between a factor and a multiple?

Back

A factor is a number that divides another number without leaving a remainder, while a multiple is the result of multiplying a number by an integer.

Front

Provide an example of using the Distributive Property.

Back

For example, using the Distributive Property: 3(4 + 5) = 3*4 + 3*5 = 12 + 15 = 27.

Front

What is a common factor?

Back

A common factor is a number that divides two or more numbers without leaving a remainder.

Front

What is the relationship between factoring and the Distributive Property?

Back

Factoring can be seen as the reverse process of applying the Distributive Property.

Front

What is a prime number?

Back

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.