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Understanding Number Factors in Mathematics

In this exploration of factors, we analyze a mystery number that has 12 as one of its factors. By investigating the relationships between various products of integers, we determine the essential factors that must be present. We'll examine the factors of numbers made by multiplying integers up to 6 and explore whether 9 is likely a factor of our chosen number. Additionally, we will identify common factors among distinct sets of products, as we seek to deepen our understanding of numerical relationships and factor analysis.

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Understanding Number Factors in Mathematics

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Presentation Transcript

  1. I'm thinking of a number. 12 is a factor of my number. What other factors MUST my number have?

  2. How many factors of 1 x 2 x 3 x 4 x 5 x 6 can you name without working out what number it is?

  3. 1 x 2 x 3 x 4 x 5 x 6 Would you predict that 9 would be a factor of this number?

  4. 1 x 2 x 3 x 4 x 5 x 6 = 1 x 2 x 3 x 2 x 2 x 5 x 2 x 3 How does this help us see that 9 is a factor?

  5. What factors do 2 x 3 x 4 x 5 x 6 and 5 x 7 x 9 have in common?

  6. What factors do 3 x 7 x 8 x 9 and 2 x 3 x 6 x 9 have in common?

  7. What factors do 5 x 9 x 10 and 200 have in common?

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