2018 AMC 8 Problems/Problem 18

Problem 18

How many positive factors does $23,232$ have?

$\textbf{(A) }9\qquad\textbf{(B) }12\qquad\textbf{(C) }28\qquad\textbf{(D) }36\qquad\textbf{(E) }42$

Solution

We can first find the prime factorization of $23,232$ , which is $2^6\cdot3^1\cdot11^2$ . Now, we just add one to our powers and multiply. Therefore, the answer is $(1+6)*(1+1)*(1+2)=7*2*3=\boxed{42}, \textbf{(E)}$ -shreyasb

2018 AMC 8 (Problems • Answer Key • Resources)
Preceded by Problem 17	Followed by Problem 19
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All AJHSME/AMC 8 Problems and Solutions

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2018 AMC 8 Problems/Problem 18

Problem 18

Solution

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