Art of Problem Solving
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2010 AMC 8 Problems/Problem 14: Difference between revisions

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Created page with "What is the sum of the prime factors of 2010? Well to answer this question let's take the prime factorization of 2010. Which is 2,3,5, and 67. So all you do is add 2+3+5+67=77"
 
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What is the sum of the prime factors of 2010?
==Problem==
Well to answer this question let's take the prime factorization of 2010. Which is 2,3,5, and 67. So all you do is add 2+3+5+67=77
What is the sum of the prime factors of <math>2010</math>?
<math> \textbf{(A)}\ 67\qquad\textbf{(B)}\ 75\qquad\textbf{(C)}\ 77\qquad\textbf{(D)}\ 201\qquad\textbf{(E)}\ 210 </math>
 
==Solution==
First, we must find the prime factorization of <math>2010</math>. <math>2010=2\cdot 3 \cdot 5 \cdot 67</math> We add the factors up to get <math>\boxed{\textbf{(C)}\ 77}</math>
 
==See Also==
{{AMC8 box|year=2010|num-b=13|num-a=15}}

Revision as of 16:34, 5 November 2012

Problem

What is the sum of the prime factors of $2010$? $\textbf{(A)}\ 67\qquad\textbf{(B)}\ 75\qquad\textbf{(C)}\ 77\qquad\textbf{(D)}\ 201\qquad\textbf{(E)}\ 210$

Solution

First, we must find the prime factorization of $2010$. $2010=2\cdot 3 \cdot 5 \cdot 67$ We add the factors up to get $\boxed{\textbf{(C)}\ 77}$

See Also

2010 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 13
Followed by
Problem 15
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All AJHSME/AMC 8 Problems and Solutions