Algebra Examples

30

$30$

Find the common factors for the numerical part:

30

$30$

The factors for

30

$30$ are

1, 2, 3, 5, 6, 10, 15, 30

$1, 2, 3, 5, 6, 10, 15, 30$ .

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The factors for

30

$30$ are all numbers between

1

$1$ and

30

$30$ , which divide

30

$30$ evenly.

Check numbers between

1

$1$ and

30

$30$

Find the factor pairs of

30

$30$ where

x \cdot y = 30

$x \cdot y = 30$ .

\begin{array}{c} x & y \\ 1 & 30 \\ 2 & 15 \\ 3 & 10 \\ 5 & 6 \end{array}

$\begin{array}{c} x & y \\ 1 & 30 \\ 2 & 15 \\ 3 & 10 \\ 5 & 6 \end{array}$

List the factors for

30

$30$ .

1, 2, 3, 5, 6, 10, 15, 30

$1, 2, 3, 5, 6, 10, 15, 30$

1, 2, 3, 5, 6, 10, 15, 30

$1, 2, 3, 5, 6, 10, 15, 30$

List all the factors for

30

$30$ to find the common factors.

30

$30$ :

1, 2, 3, 5, 6, 10, 15, 30

$1, 2, 3, 5, 6, 10, 15, 30$

The common factors for

30

$30$ are

1, 2, 3, 5, 6, 10, 15, 30

$1, 2, 3, 5, 6, 10, 15, 30$ .

1, 2, 3, 5, 6, 10, 15, 30

$1, 2, 3, 5, 6, 10, 15, 30$

The GCF (HCF) of the numerical factors

1, 2, 3, 5, 6, 10, 15, 30

$1, 2, 3, 5, 6, 10, 15, 30$ is

30

$30$ .

30

$30$

30

$30$

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