How do you write 18 as a product of prime factors?
We take 18 and break it down into factors until we reach numbers that are primes.
The prime factors are multiplied together to get a product at the end and together make the answer.
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:
The product of 2 numbers
This is as far as you can go.