Most mathematics courses are designed to ease the student from concrete to abstract thought. If you can visualize chairs in rows, then you can think of those groupings of chairs as rectangles, then you can think of the numbers associated with them by themselves.
You can arrange 18 chairs in one row of 18, two rows of 9 and three rows of 6. Those are the factor pairs of 18.
To find the LCM: write in 2 rows multiples of 6 (top row) and multiples of 9 (bottom row) and find the same number in both rows. 18 is in both rows, so 18 is the LCM of 6 and 9.6.12.18.249.18.27.36
You count the rows and columns. "Dimensions" simply means how many rows and how many columns the matrix has.
1 row of 180 - 2 rows of 90 - 3 rows of 60 - 4 rows of 45 - 5 rows of 36 - 6 rows of 30 - 9 rows of 20 - 10 rows of 18 - 12 rows of 15 - 15 rows of 12 - 18 rows of 10 - 20 rows of 9 - 30 rows of 6 - 36 rows of 5 - 45 rows of 4 - 60 rows of 3 - 90 rows of 2 - 180 rows of 1 - total of 18 ways within the limits of the question
2 rows of 24 3 rows of 16 4 rows of 12
If I am getting what you are saying, then no. 3 rows of 9 and 2 rows equals 5 rows. 5*9=45 and 7*9=63
Of course, it doesn't have to be chairs. Some people find that visualizing objects is helpful in manipulating abstract things like numbers. If you can arrange the chairs in rectangles with no stray chairs left over, you will find that the dimensions of the rectangles correspond to the factors. 1 x 18 2 x 9 3 x 6
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.
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.
1 row of 100 chairs. 2 rows of 50 chairs. 4 rows of 25 chairs. 5 rows of 20 chairs. 10 rows of 10 chairs. 20 rows of 5 chairs. 25 rows of 4 chairs. 50 rows of 2 chairs. 100 rows of 1 chair. Or you could put them all in one big circle.
Think of the chairs as arrays. The dimensions of the arrays give you the factors of 18.
one row of 18 chairs two rows of 9 chairs three rows of 6 chairs
3.5
84 of them.
65 / 5 = 13 rows
They were not chairs but rows of stone.
8
The numbers of rows and columns in a rectangular array form a factor pair for that number.