Building and Breaking Numbers
In this lab, we look at numbers in two ways. We can break them down into the numbers that multiply to make them (Factors), or we can build them up by skip-counting (Multiples).
Definitions
Think of Factors as the "ingredients" and Multiples as the "results."
| Concept | Definition | Example (LaTeX) |
|---|---|---|
| Factors | Numbers you multiply together to get another number. | Factors of $12$: $\{1, 2, 3, 4, 6, 12\}$ |
| Multiples | The product of a number and any whole number (skip-counting). | Multiples of $3$: $\{3, 6, 9, 12, 15...\}$ |
| Prime | A number with exactly two factors: 1 and itself. | $7$ is prime because only $1 \times 7 = 7$. |
| Composite | A number with more than two factors. | $8$ is composite: $\{1, 2, 4, 8\}$. |
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Lab Specialist!
You have mastered the structure of numbers. You can now build and break any value with ease!