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Which of the following statements is logically consistent with the properties of

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Question: Which of the following statements is logically consistent with the properties of factors?

Options:

  1. Every factor of a number is also a multiple of that number.
  2. A number can have an infinite number of factors.
  3. The smallest factor of any number is always 1.
  4. All prime numbers have exactly two factors.

Correct Answer: The smallest factor of any number is always 1.

Solution: 

The smallest factor of any number is always 1, as 1 divides every integer.

Which of the following statements is logically consistent with the properties of

Practice Questions

Q1
Which of the following statements is logically consistent with the properties of factors?
  1. Every factor of a number is also a multiple of that number.
  2. A number can have an infinite number of factors.
  3. The smallest factor of any number is always 1.
  4. All prime numbers have exactly two factors.

Questions & Step-by-Step Solutions

Which of the following statements is logically consistent with the properties of factors?
  • Step 1: Understand what a factor is. A factor of a number is a whole number that can be multiplied by another whole number to get that number.
  • Step 2: Recognize that every integer can be divided by 1 without leaving a remainder. This means 1 is a factor of every integer.
  • Step 3: Identify the smallest factor of any number. Since 1 is a factor of every integer, it is the smallest factor.
  • Step 4: Conclude that the statement 'The smallest factor of any number is always 1' is true because it aligns with the definition of factors.
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