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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the output of Euclid's division algorithm for 10 and 3?
💡 Hint: Think about how many times 3 fits into 10.
Question 2
Easy
List the prime factors of 30.
💡 Hint: What numbers multiply together to give 30?
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 Euclid's division algorithm help us find?
- HCF
- LCM
- Remainder
💡 Hint: Remember its primary purpose.
Question 2
True or False: Every composite number has multiple prime factorizations.
- True
- False
💡 Hint: Consider the meaning of unique.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the numbers 84 and 70, find their HCF using Euclid's division algorithm. Explain the steps in detail.
💡 Hint: Use the algorithm step by step.
Question 2
Using the Fundamental Theorem of Arithmetic, prove that the number 36 can be expressed uniquely in terms of its prime factors.
💡 Hint: Factor down into primes until you reach basic numbers.
Challenge and get performance evaluation