Question

Jonah has 100 flowers to arrange into vases. He wants to put the same number of flowers in each vase. List the factor pairs of 100. Then complete the table to show the different ways to arrange the flowers.

Answer 1

Let's begin by listing out the information given to us:

Number of flowers = 100

He wants to put the same number of flowers in each vase. To obtain this, we must find out the factor pairs of 100. We have:

$\begin{gathered} 100=100\cdot1\Rightarrow100flowers,1vase \\ 100=50\cdot2\Rightarrow50flowers,2vases \\ 100=25\cdot4\Rightarrow25flowers,4vases \\ 100=20\cdot5\Rightarrow20flowers,5vases \\ 100=10\cdot10\Rightarrow10flowers,10vases \\ 100=5\cdot20\Rightarrow5flowers,20vases \\ 100=4\cdot25\Rightarrow4lowers,25vases \\ 100=2\cdot50\Rightarrow2flowers,50vases \\ 100=1\cdot100\Rightarrow1flower,100vases \end{gathered}$