My hundreds digit is twice my units digit.
So it's a 3-digit number. We'll come back to that clue later.
My units digit is one-fourth my tens digit.
So it's either _41 or _82.
We come back to
My hundreds digit is twice my units digit.
So it's either 241 or 482.
The product of my three digits contains one of my digits.
The product of the digits of 241 is 2*4*1 = 8
The product of the digits of 482 is 4*8*2 = 64
8 doesn't contain one of the digits of 241.
64 contains the digit 4 which is the first digit of 482.
Answer: 482
Edwin