Exponent factoring

<p>Which of the following is not a factor of 10^2002
12
25
32
125
400</p>

<p>Stuck on this problem please help :(</p>

<p>Overflow - error</p>

<p>Imagine if you wrote out the prime factorization of 10^2002…you would have a bunch of 2’s and a bunch of 5’s. Now look at the prime factorization of each answer choice. They are also a bunch of 2’s and 5’s except for 12 which has a 3 in its factorization. So you know it can’t be a factor of the original number.</p>

<p>This seems like an easier AMC problem than an SAT one…</p>

<p>In any event, pckeller is spot on.</p>