Prime Factorization Factor Tree Examples 20 60 72 81

Published on June 11, 2026

Pre-Algebra

Learn how to find the prime factorization of numbers like 20, 60, 72, and 81 using the factor tree method with step-by-step examples.

Question

The solve prime factorstree 20/60/72/81

Answer

To find the prime factorization of the numbers 20, 60, 72, and 81 using a factor tree method, we break each number down into its smallest prime components.

1. Prime Factorization of 20

We start by dividing 20 by its smallest prime factor.
  • Since 2 and 5 are prime numbers, we stop.
Factor Tree for 20:
Prime Factorization:

2. Prime Factorization of 60

We start by dividing 60 by its smallest prime factor.
  • Since 2, 3, and 5 are prime numbers, we stop.
Factor Tree for 60:
Prime Factorization:

3. Prime Factorization of 72

We start by dividing 72 by its smallest prime factor.
  • Since 2 and 3 are prime numbers, we stop.
Factor Tree for 72:
Prime Factorization:

4. Prime Factorization of 81

We start by dividing 81 by its smallest prime factor (it is not divisible by 2, so we try 3).
  • Since 3 is a prime number, we stop.
Factor Tree for 81:
Prime Factorization: