SOLUTION: Word problems over prime factorization or factoring the monomial. Problem 1:::: You are arranging 70 plants in a rectangular garden with the same number of plants in each row.

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: Word problems over prime factorization or factoring the monomial. Problem 1:::: You are arranging 70 plants in a rectangular garden with the same number of plants in each row.      Log On


   

Question 228338: Word problems over prime factorization or factoring the monomial.
Problem 1:::: You are arranging 70 plants in a rectangular garden with the same number of plants in each row. How many ways can you arrange the garden?
Problem 2:::: A dog kennel groups the dogs in order to determine at what time they will be given a treat. Each group should have the same number of dogs. There are 120 dogs in the kennel. How many groups are possible?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Problem 1:::: You are arranging 70 plants in a rectangular garden with the same number of plants in each row. How many ways can you arrange the garden?
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70 = 2*5*7
Ans:
1 row of 70
2 rows of 35
5 rows of 14
7 rows of 10
10 rows of 7
14 rows of 5
35 rows of 2
70 rows of 1
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Problem 2:::: A dog kennel groups the dogs in order to determine at what time they will be given a treat. Each group should have the same number of dogs. There are 120 dogs in the kennel. How many groups are possible?
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120 = 2*2*2*3*5
1 row of 120
2 rows of 60
4 rows of 30
etc.
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Cheers,
Stan H.