Practice Fundamental Theorem Of Arithmetic (12.2.7) - Induction - Discrete Mathematics - Vol 1
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Fundamental Theorem of Arithmetic

Practice - Fundamental Theorem of Arithmetic

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Learning

Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Prove that using a prime factorization approach, the integer 100 can come only from 2 and 5.

💡 Hint: Factor down all possible combinations.

Challenge 2 Hard

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.

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Reference links

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