Math Gr 8 Ch 1: Multiples and Factors
32 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is a multiple of a number?

  • The product of that number and a fraction.
  • The difference of that number and an integer.
  • The sum of that number and an integer.
  • The product of that number and an integer. (correct)

    • What are the factors of 20?

  • 1, 3, 5, 10
  • 2, 4, 6, 8, 10
  • 1, 2, 4, 5, 10, 20 (correct)
  • 1, 5, 10, 20

    • What is a characteristic of prime numbers?

  • They can be formed by multiplying two smaller natural numbers.
  • They are always even numbers.
  • They have exactly two distinct positive divisors: 1 and itself. (correct)
  • They have more than two factors.

    • What is prime factorization?

    <p>The process of expressing a number as the product of its prime factors.</p> Signup and view all the answers

    What is the least common multiple (LCM) of two or more numbers?

    <p>The smallest multiple that two or more numbers have in common.</p> Signup and view all the answers

    How do you find the highest common factor (HCF) of two or more numbers?

    <p>Take the lowest power of each prime factor that appears in the factorization of each number.</p> Signup and view all the answers

    What is a characteristic of composite numbers?

    <p>They have more than two factors.</p> Signup and view all the answers

    What is the key concept of prime factorization?

    <p>Every composite number can be expressed as a product of prime factors.</p> Signup and view all the answers

    Which of the following is a characteristic of multiples of a number?

    <p>They form a sequence where each term is that number multiplied by an integer</p> Signup and view all the answers

    What is the relationship between factors of a number?

    <p>They come in pairs, and each pair multiplies to give the original number</p> Signup and view all the answers

    Which of the following is true about prime numbers?

    <p>They can only be divided by 1 and themselves</p> Signup and view all the answers

    What is the process of expressing a number as the product of its prime factors called?

    <p>Prime factorization</p> Signup and view all the answers

    How do you find the LCM of two or more numbers?

    <p>Take the highest power of each prime factor that appears in the factorization of each number</p> Signup and view all the answers

    What is the difference between the LCM and HCF of two or more numbers?

    <p>LCM is the largest multiple, while HCF is the smallest factor</p> Signup and view all the answers

    Which of the following is a characteristic of composite numbers?

    <p>They have more than two distinct positive divisors</p> Signup and view all the answers

    What is the key concept of prime factorization?

    <p>Every number can be expressed as a product of prime factors, and this representation is unique, apart from the order of the factors</p> Signup and view all the answers

    What is the result of dividing a number by its highest common factor?

    <p>The quotient is always 1</p> Signup and view all the answers

    What is the purpose of finding the prime factors of a number?

    <p>To express the number as a product of prime factors</p> Signup and view all the answers

    Which of the following statements is true about the factors of a composite number?

    <p>The factors come in pairs</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 are the building blocks of the multiples</p> Signup and view all the answers

    What is the result of finding the least common multiple of two or more numbers?

    <p>The smallest multiple that the numbers have in common</p> Signup and view all the answers

    What is the difference between a prime number and a composite number?

    <p>A prime number has only two factors, while a composite number has more than two factors</p> Signup and view all the answers

    What is the purpose of finding the highest common factor of two or more numbers?

    <p>To find the largest number that divides the numbers without leaving a remainder</p> Signup and view all the answers

    Which of the following statements is true about the number of factors of a prime number?

    <p>A prime number has exactly two factors</p> Signup and view all the answers

    Which of the following statements is true about the multiples of a number?

    <p>They can be both prime and composite numbers.</p> Signup and view all the answers

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

    <p>The prime factors are a subset of the factors.</p> Signup and view all the answers

    What is the purpose of finding the prime factors of a number?

    <p>To express the number as a product of prime numbers.</p> Signup and view all the answers

    Which of the following statements is true about the HCF of two or more numbers?

    <p>It is always a factor of the numbers.</p> Signup and view all the answers

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

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

    Which of the following statements is true about the factors of a composite number?

    <p>They can be both prime and composite numbers.</p> Signup and view all the answers

    What is the result of dividing a number by its HCF?

    <p>The result is always a factor of the number.</p> Signup and view all the answers

    Which of the following statements is true about the prime factors of a number?

    <p>They are always unique.</p> Signup and view all the answers

    More Like This

    Use Quizgecko on...
    Browser
    Open
    Browser
    Browser