# How do you write 18 as a product of prime factors?

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We take 18 and break it down into factors until we reach numbers that are primes.

18 goes to 9 and 2

9 breaks down further into 3 and 3

The prime factors are collected at the end and together make the answer.

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See explanation.

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To write a prime decomposition of a number

- Find the lowest prime number
#p# which divides#x# . Write#x# as a product:#x=p*x_1# - Repeat this procedure until
#x_1# is a prime number. - In the final step you can write the product(s) of repeating prime numbers as a power(s).

Here we have:

It is an even number, so we can write that:

Now all the numbers are prime, so the decomposition is complete:

#18=2*3*3#

The product of 2 numbers

#18=2*3^2#

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Divide

Divide

This is as far as you can go.

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