# Finding prime factors

Prime factors are of a number that are, themselves, prime numbers.

Sometimes you might be asked to write a number as the of its prime factors.

There are many methods to find the prime factors of a number, but one of the most common is to use a prime factor tree:

• Start the factor tree using any pair of factors (two numbers that multiply together to make your number).
• If one of these factors is prime, that branch ends.
• If a factor isn't prime, divide it into a factor pair.
• The branches continue to expand until all the factors are prime numbers.
• The final answer is the list of all the prime numbers displayed at the end of these branches.

Note that the number $${1}$$ is not used within a factor tree.

## Example:

Write 24 as the product of its prime factors.

Write 24 as the product of its prime factors

You could choose any factor pair to start.