SOLUTION: What is the solution of factor tree to this number? 289.

Question 1014699: What is the solution of factor tree to this number? 289.
Answer by mathmate(429) (Show Source): You can put this solution on YOUR website!

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.
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