SOLUTION: I am a number between 16 and 30. The product of my two prime factors is 6. I have an even number of factors. What number am I?

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Question 646945: I am a number between 16 and 30. The product of my two prime factors is 6. I have an even number of factors. What number am I?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
let's a number be x
given:
16%3Cx%3C30
The product of my two prime factors is 6; so,
2 and 3 are prime numbers, and they are 2 and 3 prime+factors of 6...there are two of them, means even number
2%2A3=6, but it cannot make 16%3Cx%3C30 true
next number with same prime factors is 12=2%2A2%2A3, but it cannot make 16%3Cx%3C30 true either
only numbers that make it true are 18 and 24
x cold be 18(2%2A3%5E2) or 24(2%5E3%2A3)
because
16%3C18%3C30 and 16%3C24%3C30....true