Algebra Examples

$5$ , $25$ , $125$

Step 1

To find the common factors of a list of numbers, find the factors of each number.

Step 2

Find the factors of $5$ .

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The factors for $5$ are all numbers between $1$ and $5$ , which divide $5$ evenly.

Check numbers between $1$ and $5$

Find the factor pairs of $5$ where $x \cdot y = 5$ .

$\begin{array}{c} x & y \\ 1 & 5 \end{array}$

List the factors for $5$ .

$1, 5$

Step 3

Find the factors of $25$ .

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The factors for $25$ are all numbers between $1$ and $25$ , which divide $25$ evenly.

Check numbers between $1$ and $25$

Find the factor pairs of $25$ where $x \cdot y = 25$ .

$\begin{array}{c} x & y \\ 1 & 25 \\ 5 & 5 \end{array}$

List the factors for $25$ .

$1, 5, 25$

Step 4

Find the factors of $125$ .

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The factors for $125$ are all numbers between $1$ and $125$ , which divide $125$ evenly.

Check numbers between $1$ and $125$

Find the factor pairs of $125$ where $x \cdot y = 125$ .

$\begin{array}{c} x & y \\ 1 & 125 \\ 5 & 25 \end{array}$

List the factors for $125$ .

$1, 5, 25, 125$

Step 5

The common factors are the ones that appear in the list of factors of each number.

$1, 5$

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