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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.
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.
If you decide to arrange 8 pictures hanging on the wall you want them in equal rows and columns How many ways can you arrange them?
8
How many ways can you arrange 36 ducks in rows?
You can have: 1 row of 36 2 rows of 18 3 rows of 12 4 rows of 9 or 6 rows of 6, so in total there are 5 ways.
If you have 24 juice cans show all of the ways you can arrange these cans into arrays?
There are eight possible combinations... 1 row of 24 cans 2 rows of 12 cans 3 rows 8 cans 4 rows of 6 cans 6 rows of 4 cans 8 rows of 3 cans 12 rows of 2 cans 24 rows of 1 can
