# Multiplication & Division Fact Families

I have a Bachelor's degree in Elementary Education and Spanish. I have taught for 5 years in bilingual classrooms of various elementary grade levels.

So you already know your multiplication facts, and you're having a hard time remembering your division facts? Well, in this lesson, you will learn how to use a fact family house to figure out the facts of the other operation - multiplication or division.

## A Family with only Three Members

Think about the house that you live in and the family members that live in that house. Your family members are usually the only people that live in your house, right? You may have visitors that come to your house, but your family members are the only ones that LIVE there. Well, this is similar to a fact family house, or a set of three numbers that share the same multiplication and division facts. Take the numbers 2, 7, and 14, for example. I know that 2 times 7 equals 14. On the other hand, I know that 14 divided by 7 equals 2. It's important to remember that in a fact family, you will only see the same 3 members or numbers. This means that 2, 3, 4, and 5 could NOT make a fact family because there are too many numbers, and there can only be three. Also, 6, 9, and 21 could NOT be a fact family because they do not share the same multiplication and division facts. In addition, it's important to note that to create a fact family house, you will need to put the three numbers in the corners of the triangular roof, with the largest number at the top.

## A House with Four Floors

In addition to only having three members or numbers, a fact family house will be tall because it has four floors! Two of the floors will show a number sentence of multiplication, or repeated addition of equal groups. The other two floors will show a number sentence of division, or repeated subtraction of equal groups. This is because multiplication is the inverse, or opposite operation that undoes division, and division is the inverse, or opposite operation that undoes multiplication. For example, take the numbers 3, 5, and 15. When you multiply 3 by 5 you get 15, and 5 times 3 is 15. Then, in order to divide, go the opposite direction and start with 15, so 15 divided by 3 is 5, and 15 divided by 5 is 3.

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