How Do You Find the Prime Factorization of a Number Using a Tree?

A prime number is a number whose only factors are 1 and itself
First divide 204 by its least prime factor to find the factorization, 2•102
Then to divide any remaining non-prime factors by their least prime factors
102 factors into 2•51
51 factors into 3•17
2, 2, 3, and 17 are all primes, so we cannot factor them any further
We can write out the prime factorization of 204 by writing out the product of the prime numbers

1. A prime number is a number whose only factors are 1 and itself
2. Divide 204 by its least prime factor, 2
1. 2 • 102 is a factorization of 204
1. 2 • 102 is a factorization of 204
1. Divide any remaining non-prime factors by their least prime factors
1. 2 • 51 is a factorization of 102
1. 3 • 17 is a factorization of 51
1. 3 • 17 is a factorization of 51
1. The circled numbers are prime numbers
1. When we write out a prime factorization of a number, we write that number as a multiplication of all its prime factors
1. To check our answer we can just multiply together the prime numbers that we found
1. The prime factors were 2, 2, 3, and 17
1. A prime factorization of a number is the product of all its prime factors

Write the prime factorization of 204