Math

QuestionDetermine if this statement is valid: "A prime number has three natural number factors." Choose A, B, or C.

Studdy Solution

STEP 1

Assumptions1. The statement is "'m working with a prime number that intrigues me because it has three natural number factors." . We need to determine if this statement makes sense or not based on the properties of prime numbers.

STEP 2

Let's recall the definition of a prime number. A prime number is a natural number greater than1 that has no positive divisors other than1 and itself.

STEP 3

This means that a prime number has exactly two distinct natural number factors,1 and itself.

STEP 4

Now, let's analyze the statement. The statement claims that a prime number has three natural number factors.

STEP 5

This contradicts the definition of a prime number, which states that a prime number has exactly two natural number factors.

STEP 6

Therefore, the statement does not make sense. The correct answer is B. "The statement does not make sense because a prime number has only1 and itself as natural number factors."

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