SOLUTION: A three digit number multiplied by a three digit number is equal to the product of 67,392. What are the two sets of three digits that can give you 67,392 when multiplied? Or what

Algebra ->  Expressions -> SOLUTION: A three digit number multiplied by a three digit number is equal to the product of 67,392. What are the two sets of three digits that can give you 67,392 when multiplied? Or what       Log On


   



Question 33209: A three digit number multiplied by a three digit number is equal to the product of 67,392. What are the two sets of three digits that can give you 67,392 when multiplied? Or what equstion can be usd to solve problem? My son has this problem for homework and is unable to derive the answer. Can you help us?
Thanks so much for your assistance.
Dee

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
one method is to find all prime factors one by one
2|67392
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2|33696
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2|16848
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2|8424
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2|4212
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2|2106
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3|1053
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3|351
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3|117
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3|39
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..13
hence 67392=2^6*3^4*13...now take 2 combinations so that they make 2 threedigit numbers
like 2^5*13=32*13=416 and
2*3^4=2*81=162