2007 AMC 8 Problems/Problem 3

Revision as of 13:10, 9 December 2012 by Mathway (talk | contribs) (Solution)

Problem

What is the sum of the two smallest prime factors of $250$?

$\mathrm{(A)}\ 2 \qquad\mathrm{(B)}\ 5 \qquad\mathrm{(C)}\ 7 \qquad\mathrm{(D)}\ 10 \qquad\mathrm{(E)}\ 12$

Solution

We prime factor 250.

We get $2 * 5 * 5 * 5$

The two smallest are $2$ and $5$.

So, $2 + 5 = 7$

The answer is $\boxed{\textbf{(C)}\ 7}$

See Also

2007 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 2
Followed by
Problem 4
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All AJHSME/AMC 8 Problems and Solutions