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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Express 45 as a product of its prime factors.
💡 Hint: Start by dividing by the smallest prime number.
Question 2
Easy
What is the HCF of 14 and 21?
💡 Hint: List the prime factors.
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 uniquely as a product of primes
- Primes are infinite
💡 Hint: Focus on the uniqueness aspect.
Question 2
Are all prime numbers irrational?
- True
- False
💡 Hint: Consider the definitions of rational and irrational.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that the square root of 5 is irrational.
💡 Hint: Use the prime factorization approach.
Question 2
Demonstrate the relationship of HCF, LCM in three numbers using examples.
💡 Hint: Look for common and unique prime factors in each.
Challenge and get performance evaluation