Practice The Fundamental Theorem Of Arithmetic (1.2) - REAL NUMBERS

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8 questions

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6 sample questions

Question 1.
What is the prime factorization of 18?
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Think about the smallest prime number that divides 18.
Question 2.
Express 35 as a product of its prime factors.
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Look for primes that can multiply to give you 35.
3Question 3.
What does the Fundamental Theorem of Arithmetic state?
- Every number is prime
- Every composite number can be expressed as a product of primes
- All numbers are composite
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Consider the relationship between composite numbers and primes.
4Question 4.
True or False: The prime factorization of a number is not unique except for the order of factors.
- True
- False
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Think about prime factorization examples.
Question 5.
Prove why √3 cannot be a rational number using the Fundamental Theorem of Arithmetic.
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Use prime factorization properties to demonstrate.
Question 6.
Apply the Fundamental Theorem of Arithmetic to factor 72 and use these factors to find its HCF with 30.
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Identify all prime factors properly for accurate calculations.

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