1.2 - The Fundamental Theorem of Arithmetic
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Practice Questions
Test your understanding with targeted questions
What is the prime factorization of 18?
💡 Hint: Think about the smallest prime number that divides 18.
Express 35 as a product of its prime factors.
💡 Hint: Look for primes that can multiply to give you 35.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the Fundamental Theorem of Arithmetic state?
💡 Hint: Consider the relationship between composite numbers and primes.
True or False: The prime factorization of a number is not unique except for the order of factors.
💡 Hint: Think about prime factorization examples.
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Challenge Problems
Push your limits with advanced challenges
Prove why √3 cannot be a rational number using the Fundamental Theorem of Arithmetic.
💡 Hint: Use prime factorization properties to demonstrate.
Apply the Fundamental Theorem of Arithmetic to factor 72 and use these factors to find its HCF with 30.
💡 Hint: Identify all prime factors properly for accurate calculations.
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