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 One More Factor, Please (Posted on 2008-03-23)
Four three-digit numbers are in arithmetic progression, and the number of factors of each is also in arithmetic progression. In fact that second arithmetic progression has a constant difference of 1, so that each successive number in the original arithmetic progression has one more factor than the number before it.

Note: These are not the prime factors of the numbers, but rather any factor, including the number itself and 1, so, for example, 46 has four factors (1, 2, 23 and 46), as does 8 (1, 2, 4 and 8).

What is the original arithmetic progression of three-digit numbers?

 See The Solution Submitted by Charlie Rating: 3.3333 (3 votes)

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 Answer Comment 5 of 5 |
The required four 3-digit numbers in arithmetic progression are: 229,  361, 493 and  625
 Posted by K Sengupta on 2008-12-31 00:39:16

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