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Which of the following statements about factors and multiples is correct? (2023)

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Question: Which of the following statements about factors and multiples is correct? (2023)

Options:

  1. Every multiple of a number is also a factor of that number.
  2. Factors of a number are always greater than the number itself.
  3. A number can have an infinite number of multiples.
  4. The smallest multiple of any number is always the number itself.

Correct Answer: A number can have an infinite number of multiples.

Exam Year: 2023

Solution: 

A number can have an infinite number of multiples, as you can keep adding the number to itself indefinitely.

Which of the following statements about factors and multiples is correct? (2023)

Practice Questions

Q1
Which of the following statements about factors and multiples is correct? (2023)
  1. Every multiple of a number is also a factor of that number.
  2. Factors of a number are always greater than the number itself.
  3. A number can have an infinite number of multiples.
  4. The smallest multiple of any number is always the number itself.

Questions & Step-by-Step Solutions

Which of the following statements about factors and multiples is correct? (2023)
  • Step 1: Understand what a multiple is. A multiple of a number is what you get when you multiply that number by an integer (like 1, 2, 3, etc.).
  • Step 2: Realize that you can keep multiplying the number by larger integers. For example, if the number is 2, the multiples are 2, 4, 6, 8, 10, and so on.
  • Step 3: Notice that there is no limit to how many times you can multiply the number. You can keep adding the number to itself forever.
  • Step 4: Conclude that because you can keep creating new multiples by multiplying by larger integers, a number can have an infinite number of multiples.
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