2010 AMC 8 Problems/Problem 14: Difference between revisions
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==Problem== | ==Problem== | ||
What is the sum of the prime factors of <math>2010</math>? | 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> | <math> \textbf{(A)}\ 67\qquad\textbf{(B)}\ 75\qquad\textbf{(C)}\ 77\qquad\textbf{(D)}\ 201\qquad\textbf{(E)}\ 210 </math> | ||
==Solution== | ==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> | 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> | ||
==Video Solution by OmegaLearn== | |||
https://youtu.be/6xNkyDgIhEE?t=1236 | |||
==Video by MathTalks== | |||
https://www.youtube.com/watch?v=6hRHZxSieKc | |||
==See Also== | ==See Also== | ||
{{AMC8 box|year=2010|num-b=13|num-a=15}} | {{AMC8 box|year=2010|num-b=13|num-a=15}} | ||
{{MAA Notice}} | |||
Latest revision as of 19:55, 22 January 2023
Problem
What is the sum of the prime factors of 
?
Solution
First, we must find the prime factorization of . 
. We add the factors up to get 
Video Solution by OmegaLearn
https://youtu.be/6xNkyDgIhEE?t=1236
Video by MathTalks
https://www.youtube.com/watch?v=6hRHZxSieKc
See Also
| 2010 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 13 |
Followed by Problem 15 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. Error creating thumbnail: File missing
