Pre-Algebra Examples

$150$ , $0$ , $0$ , $0$

Step 1

Find the common factors for the numerical part:

$150, 0, 0, 0$

Step 2

The factors for $150$ are $1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150$ .

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Step 2.1

The factors for $150$ are all numbers between $1$ and $150$ , which divide $150$ evenly.

Check numbers between $1$ and $150$

Step 2.2

Find the factor pairs of $150$ where $x \cdot y = 150$ .

$\begin{array}{c} x & y \\ 1 & 150 \\ 2 & 75 \\ 3 & 50 \\ 5 & 30 \\ 6 & 25 \\ 10 & 15 \end{array}$

Step 2.3

List the factors for $150$ .

$1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150$

Step 3

Every number is a factor of $0$ .

Infinitely many factors

Step 4

Every number is a factor of $0$ .

Infinitely many factors

Step 5

Every number is a factor of $0$ .

Infinitely many factors

Step 6

List all the factors for $150, 0, 0, 0$ to find the common factors.

$150$ : $1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150$

$0$ : Infinitely many factors

Step 7

The common factors for $150, 0, 0, 0$ are $1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150$ .

$1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150$

Step 8

The GCF (HCF) of the numerical factors $1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150$ is $150$ .

$150$