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In the context of factors and multiples, which of the following statements is tr

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Question: In the context of factors and multiples, which of the following statements is true?

Options:

  1. Every multiple of a number is also a factor of that number.
  2. A factor of a number is always greater than the number itself.
  3. The least common multiple of two numbers is always greater than or equal to both numbers.
  4. Factors of a number can only be positive.

Correct Answer: The least common multiple of two numbers is always greater than or equal to both numbers.

Solution: 

The least common multiple (LCM) of two numbers is defined as the smallest number that is a multiple of both. Therefore, it is always greater than or equal to both numbers.

In the context of factors and multiples, which of the following statements is tr

Practice Questions

Q1
In the context of factors and multiples, which of the following statements is true?
  1. Every multiple of a number is also a factor of that number.
  2. A factor of a number is always greater than the number itself.
  3. The least common multiple of two numbers is always greater than or equal to both numbers.
  4. Factors of a number can only be positive.

Questions & Step-by-Step Solutions

In the context of factors and multiples, which of the following statements is true?
  • 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: Know what the least common multiple (LCM) is. The LCM of two numbers is the smallest number that both numbers can divide into without leaving a remainder.
  • Step 3: Realize that since the LCM is a multiple of both numbers, it must be at least as large as the larger of the two numbers.
  • Step 4: Conclude that the LCM is always greater than or equal to both numbers because it is the smallest common multiple.
  • Least Common Multiple (LCM) – The LCM of two numbers is the smallest number that is a multiple of both numbers.
  • Factors and Multiples – Understanding the relationship between factors (numbers that divide another number) and multiples (numbers that can be divided by another number).
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