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Join us in The Product Puzzle as we explore the fascinating world of factor pairs and combinations! Discover how to express numbers like 24 as product combinations and challenge yourself to find three numbers that multiply to 360. We’ll search for longer factor strings and investigate the number 840. Engage your problem-solving skills and document your findings in your journal. Can you determine the longest possible string of factors? Let’s work together and see what numbers we can discover!
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The Product Puzzle So far, we have looked at factor pairs of given numbers. For example, we can write 24 as 4x6, 2x12, or 3x8. Can you think of three numbers you can multiply to get a product of 24? What numbers can you multiply to get a product of 360? How many single digit numbers can you combine to create a product of 360?
Factor Strings We are going to continue searching for strings that are factorizations. Try to get longer and longer factor strings in The Product Puzzle. As you work on the puzzle, think about this question: “How do you know when you have found the longest possible string?”
Recording Strings of Numbers Turn to page 49 and read under the heading 4.1 The Product Puzzle. We will be searching for factor strings for the number 840. Two factor strings have already been marked in the picture for you. These numbers would multiply together for a product of 840. We would record this as: 5 x 42 x 4 OR 7 x 120. These are strings.
Your Turn! On page 50, you have a Product Puzzle grid for the number 840. We will work through A-E as a family. Make sure you have a journal entry titled, The Product Puzzle and record your work on A-E on that page.