Question 6: Number Theory - Prime Factorization Instructions: Use data from the link provided below and make sure to give your original work. Plagiarism will not be accepted. You can also use different colors and notations to make your work clearer and more visually appealing. Problem Statement: Prove that every integer greater than 1 has a unique prime factorization. Theoretical Parts: 1. Fundamental Theorem of Arithmetic: State and explain the Fundamental Theorem of Arithmetic. 2. Prime Factorization: Define what is meant by the prime factorization of a number and describe its significance. 3. Proof: Prove that every integer greater than 1 has a unique prime factorization by contradiction. Data Link: https://drive.google.com/drive/folders/1kDp2a0Duw9EjUptT-19XpMITGF9j40WI

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 91E
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Question 6: Number Theory - Prime Factorization
Instructions:
Use data from the link provided below and make sure to give your original work. Plagiarism will not
be accepted. You can also use different colors and notations to make your work clearer and more
visually appealing.
Problem Statement:
Prove that every integer greater than 1 has a unique prime factorization.
Theoretical Parts:
1. Fundamental Theorem of Arithmetic: State and explain the Fundamental Theorem of
Arithmetic.
2. Prime Factorization: Define what is meant by the prime factorization of a number and describe
its significance.
3. Proof: Prove that every integer greater than 1 has a unique prime factorization by contradiction.
Data Link:
https://drive.google.com/drive/folders/1kDp2a0Duw9EjUptT-19XpMITGF9j40WI
Transcribed Image Text:Question 6: Number Theory - Prime Factorization Instructions: Use data from the link provided below and make sure to give your original work. Plagiarism will not be accepted. You can also use different colors and notations to make your work clearer and more visually appealing. Problem Statement: Prove that every integer greater than 1 has a unique prime factorization. Theoretical Parts: 1. Fundamental Theorem of Arithmetic: State and explain the Fundamental Theorem of Arithmetic. 2. Prime Factorization: Define what is meant by the prime factorization of a number and describe its significance. 3. Proof: Prove that every integer greater than 1 has a unique prime factorization by contradiction. Data Link: https://drive.google.com/drive/folders/1kDp2a0Duw9EjUptT-19XpMITGF9j40WI
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