2
one row of 18 chairs two rows of 9 chairs three rows of 6 chairs
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.
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
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.
18 Chairs into equal rows - 6 x 3 2 x 9 18 x 1
There are 9 rows of stars in total.
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
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
Arranging 18 chairs in equal rows can help you find factors of 18 because factors are the numbers that can be multiplied together to get the original number. By arranging the chairs in equal rows, you can visually see how many rows can be made with a certain number of chairs in each row, which represents the factors of 18. For example, if you arrange the chairs in 3 rows of 6 chairs each, you have found one set of factors of 18 (3 and 6).
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.
18
18 groups