Math Problem Statement
Nova knows that 8 and 7 are a factor pair of 56 because 56 = 8 × 7. Nova wants to find another factor pair of 56.
Solution
The problem in the image involves finding a factor pair for the number 56 and completing the equation. Let's work through the solution:
Given Equation:
The instructions break apart the factor into :
Then, the factors are regrouped:
Now, multiply inside the parentheses:
So, the completed equation is:
This shows that another factor pair of is and .
Do you want further details or explanations? Let me know!
Here are 5 questions to expand understanding:
- What are all the factor pairs of 56?
- How do we systematically find factor pairs of a number?
- Why does breaking apart factors help in simplifying multiplication problems?
- Can the same strategy be used for other numbers, such as 72 or 45?
- How is the distributive property used in this example?
Tip: When factoring, start by dividing the number by small primes (e.g., 2, 3, 5) to find all pairs efficiently.
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Math Problem Analysis
Mathematical Concepts
Factorization
Multiplication
Distributive Property
Formulas
Factorization: a × b = c
Theorems
Properties of Multiplication
Suitable Grade Level
Grade 4-5