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Kia thinks that every number has at least two factors. Which explains whether Kia is correct?
Kia is correct because prime numbers have two factors and composite numbers have more than two factors.
Kia is correct because composite numbers have two factors and prime numbers have more than two factors.
Kia is incorrect because prime numbers do not have any factors.
Kia is incorrect because the only factor of 1 is 1.

1 answer

Kia is incorrect because the only factor of 1 is 1.

Here's the reasoning:

  1. Every positive integer greater than 1 has at least two factors: 1 and itself.
  2. Prime numbers have exactly two distinct factors: 1 and the number itself.
  3. Composite numbers have more than two factors, being divisible by numbers other than 1 and themselves.
  4. However, the number 1 is a special case; it has only one factor (itself), which means it does not meet the requirement of "at least two factors."

Thus, Kia's statement is incorrect due to the case of the number 1.