How do you write 42 as a product of its prime factors?

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How do you write 42 as a product of its prime factors?

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Answer 1 · 2016-09-22T20:24:15

$42=2xx3xx7$

Explanation:

The lowest $color(blue)"prime number"$ is 2. So we begin by dividing 42 by 2.

$rArr42÷color(red)(2) =21$

Now 21 cannot be divided by 2 so we now divide by the next highest $color(blue)"prime number"$ which is 3.

$rArr21÷color(red)(3)=7$

Now 7 is a $color(blue)"prime number"$

$rArr7÷color(red)(7)=1$ when we reach 1 we stop there.

Prime factors of 42 are $color(red)(2,3" and " 7)$

and as a product of prime factors, means expressing them in multiplication form.

$rArr42=2xx3xx7larr" product of prime factors"$

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How do you write 42 as a product of its prime factors?

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