Enigma 1590: Return to starter
23 January 2012
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From New Scientist #2755, 10th April 2010 [link]
If we take the three-digit number 999 and write it in words as NINE HUNDRED AND NINETY-NINE we can see that its four elements have 4, 7, 3 and 10 letters. If we multiply 4 × 7 × 3 × 10 we get 840, which is some way away from the 999 that we started with.
I invite you to find a three-digit number such that if you multiply together the number of letters in each of its four elements you get the number that you started with.
What is that three-digit number?