# What is the prime factorization of 48?

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#### Explanation

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#### Explanation:

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$48 = 2 \times 2 \times 2 \times 2 \times 3$

#### Explanation:

Write 48 as the product if any two factors:

$48 = \textcolor{red}{8} \times \textcolor{b l u e}{6} \text{ write each number as factors}$
$48 = \textcolor{red}{2 \times 4} \times \textcolor{b l u e}{2 \times 3}$
$48 = \textcolor{red}{2 \times 2 \times 2} \times \textcolor{b l u e}{2 \times 3} \text{ continue until they are all prime}$

$48 = \textcolor{red}{4} \textcolor{b l u e}{\times 12}$
$48 = \textcolor{red}{2 \times 2} \textcolor{b l u e}{\times 2 \times 6}$
$48 = \textcolor{red}{2 \times 2} \textcolor{b l u e}{\times 2 \times 2 \times 3}$

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