Factors, GCF, and LCM Problems

Front

What is a factor?

Back

A factor is a number that divides another number without leaving a remainder.

Front

What is the greatest common factor (GCF)?

Back

The GCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

Front

What is the least common multiple (LCM)?

Back

The LCM of two or more numbers is the smallest number that is a multiple of all of them.

Front

How do you find the GCF of 24 and 60?

Back

List the factors of each number: Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24; Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60. The GCF is 12.

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler expressions that can be multiplied together to get the original expression.

Front

Factor the expression: 6 + 12

Back

6(1 + 2)

Front

Factor the expression: 18 - 12

Back

3(6 - 4)

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac.

Front

Use the distributive property to simplify: 3(2 + 4)

Back

3(2) + 3(4) = 6 + 12.

Front

What is the result of 4(6 + 3)?

Back

4(6) + 4(3) = 24 + 12 = 36.