The number 2 is chosen to begin a ladder diagram to find the prime factorization of 66. What other numbers could have been used to start the ladder diagram for 66? How does starting with a different number change the diagram?
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The numbers are 1, 3, 6, 11, 22, and 33. It changes the diagram because it puts the prime factors in a different order, however the multiplication of the numbers in a different order does NOT change the product in any way. Starting the diagram with 2 still comes out to 66, as does starting the diagram with 3. 2•3•11=66. 3•2•11=66
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