Question 971552
My hundreds digit is twice my units digit. 
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So it's a 3-digit number.  We'll come back to that clue later.
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My units digit is one-fourth my tens digit.
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So it's either _41 or _82.

We come back to
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My hundreds digit is twice my units digit.
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So it's either 241 or 482.
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The product of my three digits contains one of my digits.
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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</pre>