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18 Chairs into equal rows -

6 x 3

2 x 9

18 x 1

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Q: All the ways to arrange 18 chairs in equal rows?
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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.


What are the different ways to arrange 100 chairs using the factors of 100?

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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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How many ways can you arrange 6 counters in equal rows?

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How many ways can you arrange 36 squares in equal rows?

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Oh, what a happy little question! If you have 32 tiles and want to arrange them in equal rows and columns, you could have 1 row of 32 tiles, 2 rows of 16 tiles, 4 rows of 8 tiles, 8 rows of 4 tiles, or 16 rows of 2 tiles. Each arrangement brings its own unique beauty to the canvas of possibilities. Just remember, there are many ways to create a masterpiece with those tiles!


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