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What are the factors of 15? Use an area model to find the factors.

Sagot :

In order to find the factors of 15, let's write this number as a product of two number x and y, representing the area of a rectangle:

[tex]15=x\cdot y[/tex]

Then, choosing natural values for x and calculating y, we have:

[tex]\begin{gathered} x=1\colon y=\frac{15}{1}=15 \\ x=2\colon y=\frac{15}{2}=7.5 \\ x=3\colon y=\frac{15}{3}=5 \\ x=4\colon y=\frac{15}{4}=3.75 \\ x=5\colon y=\frac{15}{5}=3 \end{gathered}[/tex]

We can see that the only pair of numbers that are both natural (besides 1 and 15) are the numbers 3 and 5.

Therefore the factors of 15 are 3 and 5.

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