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The content serves as a foundational exercise in number theory, helping learners develop skills in decomposing composite numbers into their building blocks. It emphasizes that while the path through a factor tree may vary depending on the initial factors chosen, the final set of prime factors remains unique for every number, thus reinforcing the Fundamental Theorem of Arithmetic through practical 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and fill in the prime factor product.  \n| 1) | \u003Cbr>\u003Cbr>\u003Cbr>|  | 2)\u003Cbr>\u003Cbr>2\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>=   x   x   |\n| --- | --- | --- | --- |\n|   =   x   x   |  |  |  |\n| 3) |  |  | 4)\u003Cbr>126\u003Cbr>\u003Cbr>  =   x   x   x  \u003Cbr>\u003Cbr>3 |\n| \u003Cbr>\u003Cbr>|  | \u003Cbr>\u003Cbr>|  |\n|   =   x   x   x   |  |  |  |\n\nName Date  \nFACTOR TREE WORKSHEET 8 ANSWERS  \nPlease note – the factor trees can be completed in different ways, with the prime factors in a different order.  \n\n| 1) | 45\u003Cbr>\u003Cbr>\u003Cbr>| 2) | 70\u003Cbr>\u003Cbr>\u003Cbr>|\n| --- | --- | --- | --- |\n| 45 = 3 x 3 x 5 |  | 70 = 2 x 5 x 7 |  |\n| 3)\u003Cbr>90\u003Cbr>\u003Cbr>90 = 2 x 3 x 3 x 5 |  | 4) | 126\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>126 = 2 x 3 x 3 x 7 |","cbCail4a60BxuKmz","https://ap.wps.com/l/cbCail4a60BxuKmz","pdf",152560,"English","# Factor Tree Exercises\n## Answer Key","[{\"question\":\"What is the purpose of this worksheet?\",\"answer\":\"This worksheet is designed to help students practice finding the prime factorization of numbers by using factor tree diagrams.\"},{\"question\":\"Are there multiple ways to complete a factor tree?\",\"answer\":\"Yes, the document notes that factor trees can be completed in different ways depending on the initial factors chosen, though the final set of prime factors will be the same.\"},{\"question\":\"What is the prime factorization of 90 according to the document?\",\"answer\":\"The prime factorization of 90 is 2 x 3 x 3 x 5.\"}]","Factor Tree Worksheet 8 - Mathematics Practice | PDF",1792675850]