Gr 9 MATH: Ch 1.2 Multiples and Factors
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Questions and Answers

What is the sequence of consecutive multiples of a number?

  • Multiplying the number by 0, 1, 2, 3, and so on
  • Adding 1, 2, 3, and so on to the number
  • Dividing the number by 1, 2, 3, and so on
  • Multiplying the number by 1, 2, 3, and so on (correct)

    • What is the Lowest Common Multiple (LCM) of two or more numbers?

  • The product of the numbers
  • The largest number that divides each of them without leaving a remainder
  • The sum of the numbers
  • The smallest number that is a multiple of each of them (correct)

    • What is the purpose of prime factorization?

  • To find the HCF of two numbers
  • To find the sum of two numbers
  • To express a number as a product of its prime factors (correct)
  • To find the LCM of two numbers

    • How do you find the HCF of two numbers?

    <p>By multiplying the common prime factors of the numbers</p> Signup and view all the answers

    What is the correct step to find the LCM of two numbers?

    <p>Multiply all the prime factors of both numbers, without repeating any factors</p> Signup and view all the answers

    What is the relationship between the LCM and HCF of two numbers?

    <p>The LCM is always greater than the HCF</p> Signup and view all the answers

    What is the advantage of prime factorization in finding the HCF and LCM?

    <p>It can be used to determine both the HCF and LCM of two numbers</p> Signup and view all the answers

    What is the main difference between consecutive multiples and common multiples of a number?

    <p>One is a multiple of a single number, while the other is a multiple of two or more numbers.</p> Signup and view all the answers

    What is the primary purpose of finding the Highest Common Factor (HCF) of two numbers?

    <p>To determine the smallest number that divides each of them without leaving a remainder.</p> Signup and view all the answers

    What is the relationship between the prime factors of a number and its multiples?

    <p>The prime factors of a number are the building blocks of its multiples.</p> Signup and view all the answers

    What happens when you multiply all the prime factors of two numbers without repeating any factors unless they appear more than once in one of the numbers?

    <p>You find the Lowest Common Multiple (LCM) of the two numbers.</p> Signup and view all the answers

    What is a common application of prime factorization in real-life scenarios?

    <p>Simplifying fractions.</p> Signup and view all the answers

    What is the main difference between finding the HCF and LCM of two numbers?

    <p>One involves finding the product of all prime factors, while the other involves finding the product of only common prime factors.</p> Signup and view all the answers

    What is the result of multiplying all the prime factors of two numbers without repeating any factors unless they appear more than once in one of the numbers?

    <p>The LCM of the two numbers.</p> Signup and view all the answers

    Which of the following statements is true about prime factorization?

    <p>It can be used to find both the HCF and LCM of two numbers.</p> Signup and view all the answers

    What is the relationship between the prime factors of a number and its multiples?

    <p>The prime factors of a number are always common to its multiples.</p> Signup and view all the answers

    What is the main advantage of using prime factorization to find the HCF and LCM of two numbers?

    <p>It allows for the identification of common prime factors.</p> Signup and view all the answers

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