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2021 AMC 12B Problems/Problem 7

Revision as of 18:44, 11 February 2021 by Sugar rush (talk | contribs)

Problem

Let $N = 34 \cdot 34 \cdot 63 \cdot 270$. What is the ratio of the sum of the odd divisors of $N$ to the sum of the even divisors of $N$?

$\textbf{(A)} ~1 : 16 \qquad\textbf{(B)} ~1 : 15 \qquad\textbf{(C)} ~1 : 14 \qquad\textbf{(D)} ~1 : 8 \qquad\textbf{(E)} ~1 : 3$

Solution

$\boxed{\textbf{(C)} ~1 : 14}$

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