QQuestionMathematics
QuestionMathematics
How many arrays can Courtney make with the 36 photos? List all the possible arrays.
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Step 1:Let's solve this step by step:
Step 2:: Understand the Problem
- We need to find all possible rectangular arrays that can be made using 36 photos - An array means arranging photos in rows and columns where rows × columns = 36
Step 3:: Find the Factors of 36
6 \times 6
To create rectangular arrays, we need to find all factor pairs of 36. The factors of 36 are:
Step 4:: List All Possible Arrays
Each factor pair represents a possible array configuration:
Step 5:1 \times 36 array
2. $$36 \times 1$$ array
Step 6:2 \times 18 array
4. $$18 \times 2$$ array
Step 7:3 \times 12 array
6. $$12 \times 3$$ array
Step 8:4 \times 9 array
8. $$9 \times 4$$ array
Step 9:6 \times 6 array
Final Answer
Courtney can make 9 different rectangular arrays with her 36 photos.
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