Factor trees

It is often useful to write a number as the product of its prime factors. This can be done by listing the factor pairs as successive branches in a factor tree. The branches continue to expand until all the factors are prime numbers. The final answer is the product of the prime numbers displayed at the end of these branches.

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

Factor tree diagram

Write 24 as the product of its prime factors

You could choose any factor pair to start.

Question

Write {48} as the product of its prime factors.

Factor tree diagram

{48} written as the product of its prime factors is

{2}\times{2}\times{2}\times{2}\times{3}