Practice Properties of Prime Numbers - 8.2 | 8. Prime Numbers and GCD | Discrete Mathematics - Vol 3
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Properties of Prime Numbers

8.2 - Properties of Prime Numbers

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a prime number.

💡 Hint: Remember that 2 is the only even prime number.

Question 2 Easy

Give an example of a composite number.

💡 Hint: Think of some even numbers.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What defines a prime number?

Divisible by only 1
Divisible by 1 and itself
Divisible by multiple factors

💡 Hint: Recap what makes primes unique.

Question 2

True or False: Every even number greater than 2 is prime.

True
False

💡 Hint: Consider the definition of prime numbers.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Calculate the GCD of 252 and 105 using Euclid's algorithm step-by-step.

💡 Hint: Use the modulo operation to continually replace the numbers.

Challenge 2 Hard

Prove that there are infinitely many prime numbers using contradiction.

💡 Hint: Think about divisibility and what adding one does.

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Reference links

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