Question 1014699
 
Question:
What is the solution of  factor tree to this number? 289.
 
Solution:
 
For creating the factor tree for any number, we need to try prime factors up to the square-root of the number itself.
For example, for 53, we need to try all prime factors up to sqrt(53)=7.3, so we need to try 2, 3, 5, 7, and if none of them divides the number, we can declare the given number a prime.
In the case of 289, we need to try all primes equal to or below sqrt(289)=17, namely 2,3,5,7,11,13, and 17.
 
I will leave it to you to complete the factor tree.