# Number Theory (1) (1).docx - MAT 256 Math for Elem Teachers...

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MAT 256 Math for Elem TeachersNAME:Anthony HigueraModule 2: Number Theory HomeworkFactors, Multiples, Primes, Composites, Divisibility1.Two gears are meshed, as shown in the image below. How many revolutions will the smallgear have to make and how many revolutions will the large gear have to make in order forthem to be aligned at the same start place again? Explain your reasoning.2.Three gears are meshed, as shown in the image below. How many revolutions will the smallgear have to make, how many revolutions will the medium gear have to make, and how manyrevolutions will the large gear have to make in order for them to be aligned at the same startplace again? Explain your reasoning.3.How do the above questions relate to GCF (greatest common factor) and LCM (lowestcommon multiple)? Explain.1

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