What is the prime factorization of 48?

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What is the prime factorization of 48?

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Answer 1 · 2016-08-11T18:44:49

$48 = 2 \times 2 \times 2 \times 2 \times 3$ $48 = 2xx2xx2xx2xx3$

Explanation:

Write 48 as the product if any two factors:

$48 = 8 \times 6 write each number as factors$ $48 = color(red)(8)xxcolor(blue)(6)" write each number as factors"$
$48 = 2 \times 4 \times 2 \times 3$ $48 = color(red)(2xx4)xxcolor(blue)(2xx3)$
$48 = 2 \times 2 \times 2 \times 2 \times 3 continue until they are all prime$ $48 = color(red)(2xx2xx2)xxcolor(blue)(2xx3)" continue until they are all prime"$

It does not matter what factors you start with.

$48 = 4 \times 12$ $48 =color(red)( 4)color(blue)(xx12)$
$48 = 2 \times 2 \times 2 \times 6$ $48= color(red)(2xx2)color(blue)(xx2xx6)$
$48 = 2 \times 2 \times 2 \times 2 \times 3$ $48 = color(red)(2xx2)color(blue)(xx2xx2xx3)$

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What is the prime factorization of 48?

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