How do you find the prime factorization of 20?

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How do you find the prime factorization of 20?

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Answer 1 · 2016-04-08T06:19:46

$20 = 2 \times 2 \times 5$ $20 = 2 xx 2 xx 5$

Explanation:

You can separate out each prime factor in turn as follows:

$20$ $20$ is divisible by $2$ $2$ (i.e. even) since its last digit is even.

So divide by $2$ $color(blue)(2)$ to get $10$ $10$ .

$10$ $10$ is divisible by $2$ $2$ since its last digit is even.

So divide by $2$ $color(blue)(2)$ to get $5$ $5$ .

$5$ $color(blue)(5)$ is prime.

So we can stop and write down $20$ $20$ as the product of the primes we have found:

$20 = 2 \times 2 \times 5$ $20 = 2 xx 2 xx 5$

This can be written as a factor tree:

$0000020$ $color(white)(00000)20$
$0000/00\$ $color(white)(0000)"/"color(white)(00)"\"$
$000200010$ $color(white)(000)color(blue)(2)color(white)(000)10$
$000000/00\$ $color(white)(000000)"/"color(white)(00)"\"$
$00000200005$ $color(white)(00000)color(blue)(2)color(white)(0000)color(blue)(5)$

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How do you find the prime factorization of 20?

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