Mathematics
Grade 3
15 min
Multiplication facts up to 12: find the missing factor
Multiplication facts up to 12: find the missing factor
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Define and identify the terms 'factor' and 'product' in a multiplication equation.
Use the relationship between multiplication and division to find a missing factor.
Solve equations with a missing factor represented by a symbol or letter (e.g., 4 x ? = 24).
Use known multiplication strategies, like skip counting, to determine an unknown factor.
Explain the strategy they used to find a missing factor in a given multiplication equation.
Create a simple real-world story problem that involves finding a missing factor.
If you have 30 stickers to put into a sticker book, and each page holds 5 stickers, how can you figure out how many pages you'll need? 🌟
In this lesson, we'll become math detectives! We will learn how to find the...
2
Key Concepts & Vocabulary
TermDefinitionExample
FactorA number that is multiplied by another number to get a product.In the equation 3 x 8 = 24, both 3 and 8 are factors.
ProductThe answer you get when you multiply two or more numbers together.In the equation 3 x 8 = 24, the product is 24.
Multiplication EquationA math sentence that shows two factors being multiplied to equal a product.5 x 6 = 30 is a multiplication equation.
Missing FactorThe unknown number in a multiplication equation that you need to find.In 7 x ? = 42, the '?' is the missing factor.
Fact FamilyA group of related multiplication and division facts that use the same three numbers.For the numbers 5, 8, and 40, the fact family is 5 x 8 = 40, 8 x 5 = 40, 40 ÷ 5 = 8, and 40 ÷ 8 = 5.
Inverse OperationAn operation that 'undoes' anot...
3
Core Formulas
The Missing Factor Rule (using Division)
If `a \times ? = c`, then `? = c \div a`
To find a missing factor, you can use the inverse operation, which is division. Divide the product (the total) by the factor you know.
The Commutative Property of Multiplication
`a \times b = b \times a`
This property tells us that you can switch the order of the factors and the product will stay the same. This is helpful if you know a fact one way but not the other (e.g., if you don't know 8 x 3, you might know 3 x 8).
Identity Property of Multiplication
`a \times 1 = a`
Any number multiplied by 1 is that same number. If the product is the same as the known factor, the missing factor must be 1.
4 more steps in this tutorial
Sign up free to access the complete tutorial with worked examples and practice.
Sign Up Free to ContinueSample Practice Questions
Challenging
An equation has a product of 48 and one factor is 6. Which story problem could be solved by finding the missing factor in this equation?
A.baker baked 48 cookies in the morning and 6 in the afternoon. How many cookies did he bake in total?
B.baker has 48 cookies and sells 6 of them. How many are left?
C.baker has 48 cookies and wants to put them into boxes that hold 6 cookies each. How many boxes does he need?
D.baker has 6 cookies and bakes 48 more. How many does he have now?
Challenging
The missing factor in p x 11 = 121 is a special number. If you multiply this special number by 7, what is the new product?
A.11
B.70
C.84
D.77
Challenging
Mia is solving ? x 9 = 63. She starts skip counting by 9s: '9, 18, 27, 35, 44...'. She gets confused and says the answer isn't a whole number. What is her mistake?
A.She should have skip counted by 7s instead of 9s.
B.She should have used subtraction instead of skip counting.
C.She made a mistake in her skip counting after 27.
D.She mixed up the product and the factor.
Want to practice and check your answers?
Sign up to access all questions with instant feedback, explanations, and progress tracking.
Start Practicing Free