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POW #4 Read MY Mind- PLEASE HELP

 
 
Reply Mon 10 Oct, 2011 07:19 pm
I am thinking of a three-digit number. It is an odd multiple of three, and the product of its digits is 24. It is larger than 15 squared. What are all the numbers that I could be thinking of?
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Type: Question • Score: 0 • Views: 1,579 • Replies: 1
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uvosky
 
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Reply Wed 23 May, 2012 01:38 am
@Lindastanich,
24 = 3 x 4 x 2 = 4 x 6 x 1 = 24 x 1 x 1 = 3 x 8 x 1 = 2 x 6 x2 = 2 x 12 x 1
since the numbers has to be three digited ( 24 x 1 x 1 ) and ( 2 x 12 x 1 ) are
not permissible . Also the numbers has to be divisible by 3 so the permissible triples are ( 3 x 4 x 2 ) and ( 3 x 8 x 1 ) ( because 4 + 6 + 1 = 11 and 2 + 6 + 2 = 10 are not multiple of 3 ) . So the permissible numbers can be , 342 , 324 , 432 , 423 , 234 , 243 , 381 , 318 , 831 , 813 , 183 , 138 . But the numbers you are thinking of have to be odd multiple of 3 , not even multiple of 3 and larger than square of 15 ( = 225 ) . So the numbers you are ( or should I say " were " ) thinking of are 423 , 243 , 381 , 831 , and 813
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