What are factor trees in math?

[mahikaur]

I’m trying to understand how to break down numbers into their prime factors. Can someone explain factor trees with a simple example?

 

[SkyDrifter]

A factor tree is a way to break a number into its prime factors step by step.
Example:
Take 24:

1. Split 24 into 6 × 4
2. Split 6 into 2 × 3 (both prime)
3. Split 4 into 2 × 2 (both prime)

So, the prime factors of 24 are 2 × 2 × 2 × 3.
It’s basically “breaking the number down” until all pieces are prime.

 

[Mayank singh]

A factor tree in math is a diagram used to break down a number into its prime factors. Starting with the number, it is split into factors repeatedly until only prime numbers remain. Factor trees help visualize factorization and are useful for finding the greatest common factor or least common multiple.