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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the prime factorization of 18?
💡 Hint: Think about the smallest prime number that divides 18.
Question 2
Easy
Express 35 as a product of its prime factors.
💡 Hint: Look for primes that can multiply to give you 35.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What does the Fundamental Theorem of Arithmetic state?
- Every number is prime
- Every composite number can be expressed as a product of primes
- All numbers are composite
💡 Hint: Consider the relationship between composite numbers and primes.
Question 2
True or False: The prime factorization of a number is not unique except for the order of factors.
- True
- False
💡 Hint: Think about prime factorization examples.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove why √3 cannot be a rational number using the Fundamental Theorem of Arithmetic.
💡 Hint: Use prime factorization properties to demonstrate.
Question 2
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.
Challenge and get performance evaluation