July 5th, 2016

Face

Tuesday Teaser #58: PLA 735

Hi. I live. Also, I moved recently, but I have no idea what detail to go into. Suffice it to say, it was stressful.

Anyway, it's still Tuesday for another 48 minutes here, so I hope you're ready for a puzzle!

I saw an interesting license plate the other day, and I'd like to tell you about it. It consisted of three letters followed by three digits, which isn't interesting by itself, but bear with me.

The letters were such that each of them, in order left to right, appeared in the spelled-out name of the corresponding digit. What's more, with the standard A=1, B=2 substitution, the product of the three letters' values equaled the number formed by the three digits!

Now to get vaguely specific. I won't tell you the three-digit number, and neither will I tell you if knowing the number would be enough information to determine the three letters and their order. But if I answered the second question, you could determine one of the plate's digits (and maybe its position, but maybe not). What's more, if I told you that digit's corresponding letter, you could tell me the entire plate!

So what is it?