Practice Summary (1.4) - REAL NUMBERS - CBSE 10 Mathematics
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Practice Questions

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Question 1 Easy

Find the prime factorization of 18.

💡 Hint: Think about the smallest prime numbers.

Question 2 Easy

Identify if 7 is a prime or composite number.

💡 Hint: Check its factors.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the Fundamental Theorem of Arithmetic state?

Every prime number is composite.
Every composite number has a unique prime factorization.
Prime factorization is not unique.

💡 Hint: Remember the uniqueness of prime factorization.

Question 2

Is 2 an irrational number?

True
False

💡 Hint: Think about its representation as a rational number.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Prove that the sum of a rational number and an irrational number is irrational.

💡 Hint: Consider the properties of rational numbers.

Challenge 2 Hard

If p is prime and p divides a², prove p divides a.

💡 Hint: Utilize the Fundamental Theorem of Arithmetic.

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