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."
Was this helpful?