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:

56=8×756 = 8 \times 7

The instructions break apart the factor 88 into 4×24 \times 2: 56=(4×2)×756 = (4 \times 2) \times 7

Then, the factors are regrouped: 56=4×(2×7)56 = 4 \times (2 \times 7)

Now, multiply inside the parentheses: 2×7=142 \times 7 = 14

So, the completed equation is: 56=4×1456 = 4 \times 14

This shows that another factor pair of 5656 is 44 and 1414.


Do you want further details or explanations? Let me know!

Here are 5 questions to expand understanding:

  1. What are all the factor pairs of 56?
  2. How do we systematically find factor pairs of a number?
  3. Why does breaking apart factors help in simplifying multiplication problems?
  4. Can the same strategy be used for other numbers, such as 72 or 45?
  5. 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.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Factorization
Multiplication
Distributive Property

Formulas

Factorization: a × b = c

Theorems

Properties of Multiplication

Suitable Grade Level

Grade 4-5