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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the fundamental theorem of arithmetic?
💡 Hint: Think about the definition of prime numbers and how numbers can be constructed from them.
Question 2
Easy
Provide an example of a prime number.
💡 Hint: Recall the definition of prime numbers.
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 integer can be expressed in multiple ways.
- Every integer greater than 1 can be expressed as a product of prime numbers.
- Only prime numbers have unique factors.
💡 Hint: Focus on integers greater than one.
Question 2
True or False: 21 can only be factored as 3 × 7.
- True
- False
💡 Hint: Consider if there are any other combinations for 21.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that using a prime factorization approach, the integer 100 can come only from 2 and 5.
💡 Hint: Factor down all possible combinations.
Question 2
Use the Fundamental Theorem of Arithmetic to express any number between 50 and 60 as a product of primes.
💡 Hint: Break down each number starting from the smallest primes.
Challenge and get performance evaluation