In this problem, Alfred has 40 model cars that he wants to arrange into rows with the same number of cars in each row. We need to find all the ways he can arrange the cars.
One way to approach this is by using factor pairs. Factors are numbers that can be multiplied together to give a certain number. In this case, the number of model cars, 40, can be divided into pairs of factors that will give us the possible arrangements of rows and cars in each row.
To find the factor pairs of 40, we can start by listing the pairs of factors:
1 x 40 = 40
2 x 20 = 40
4 x 10 = 40
5 x 8 = 40
Therefore, Alfred can arrange his 40 model cars in the following ways:
- 1 row of 40 cars
- 2 rows of 20 cars each
- 4 rows of 10 cars each
- 5 rows of 8 cars each
These are the different ways Alfred can arrange his 40 model cars into rows with an equal number of cars in each row using factor pairs. By understanding the factors of 40, we can determine all the possible arrangements he can make.
