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You are putting up a 60 foot long fence in your backyard. According to the manufacturer's instructions, the fence posts should be equally spaced along the length of the yard. List all the possible spacing options if the amount of space between the posts is a whole number of feet. If the posts should be spaced between 8 feet and 14 feet apart, how far apart should your posts be?

First determine all the factors of 60 (prime numbers or composite):
1*60
2*30
3*20
4*15
5*12
6*10

Among the 12 factors (2 per line above), which is the highest (and most economical) number that is between 8 and 14?

10 and 12 are in the middle

10

6 divide by 10

11

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