SOLUTION: One table at a bake sale has 72 brownies. Another table has 90 pastries. Which table allows for more rectangular arrangements when all the brownies and pastries are displayed? Expl

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Question 936079: One table at a bake sale has 72 brownies. Another table has 90 pastries. Which table allows for more rectangular arrangements when all the brownies and pastries are displayed? Explain.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the factors of 72 are:
1 * 72
2 * 36
3 * 24
4 * 18
6 * 12
8 * 9
9 * 8
12 * 6
18 * 4
24 * 3
36 * 2
72 * 1


the factors of 90 are:

1 * 90
2 * 45
3 * 30
5 * 18
6 * 15
9 * 10
10 * 9
15 * 6
18 * 5
30 * 3
45 * 2
90 * 1


looks like it's a tie if i understand the problem correctly.

both of them have 12 possible rectangular arrangements.

the number on the left is the number of rows of brownies / pastries.
the number on the right is the number of brownies / pastries in each row.

for example:

5 * 18 means 5 rows with 18 pastries in each row.

and:

4 * 18 means 4 rows of 18 brownies in each row.