SOLUTION: divide 27 into two parts such that their product is 180

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Question 829771: divide 27 into two parts such that their product is 180
Found 2 solutions by Alan3354, KMST:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Try the pairs of factors of 180.
Find a pair whose sum is 27.
1*180 NG
2*90 NG
etc

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Factors of 180 come in pair whose product is 180 .
We can try small numbers (1, 2, 3, 4, 5, 6, 7, ...} to see if they divide 180 evenly. Whenever one does, that small number is the small factor in a pair, and the quotient is the paired factor.
180=1%2A180
180=2%2A90
180=3%2A60
180=4%2A45
180=5%2A36
180=6%2A30
180=9%2A20
180=12%2A15
That is the last pair, because 180 does not divide evely by 13 or 14, ansd 15 is the larger factor in a pair already listed.
180=12%2A15 and 12%2B15=27 ,
so highlight%2812%29 and highlight%2815%29 are the answers we were looking for.