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How many different wayscould you arrange 18 chairs if you put them into equal rows?

Updated: 4/29/2020

Record and label each different arrangement.

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parkeerisawsomePAR4

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3y ago

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18

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parkeerisawsomePAR4

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3y ago
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Q: How many different wayscould you arrange 18 chairs if you put them into equal rows?
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All the ways to arrange 18 chairs in equal rows?

18 Chairs into equal rows - 6 x 3 2 x 9 18 x 1


How does knowing all the ways to arrange 18 chairs in equal rows help you find the factors of 18?

Think of the chairs as arrays. The dimensions of the arrays give you the factors of 18.


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It's a concrete way to visualize an abstract concept. If you can arrange the chairs (or blocks or stones or any other items) in even rows, those dimensions are factors. You will find you will be able to arrange them in 2 rows of 9 and 3 rows of 6. You will not be able to arrange them in rows of 4 or 5 without having some left over. The factors of 18 are 1, 2, 3, 6, 9 and 18.


How does knowing ways to arrange 18 chairs in equal rows help you find the factors of 18?

The number of rows and the number of chars in that row give you the factor pairs of 18. If you list the number of rows when the 18 chairs can be arranged in rows with an equal number in each row, then this list is the factors of 18. 18 chairs can only be arranged in: 1 row of 18 chairs (1 × 18 = 18) 2 rows of 9 chairs (2 × 9 = 18) 3 rows of 6 chairs (3 × 6 = 18) 6 rows of 3 chairs (6 × 3 = 18) 9 rows of 2 chairs (9 × 2 = 18) 18 rows of 1 chair (18 × 1 = 18) The factors of 18 are thus: 1, 2, 3, 6, 9, 18.


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