Art of Problem Solving

2024 AMC 10B Problems/Problem 8: Difference between revisions

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==Problem 8==
Let <math>N</math> be the product of all the positive integer divisors of <math>42</math>. What is the units digit
of <math>N</math>?


<math>\textbf{(A) } 0\qquad\textbf{(B) } 2\qquad\textbf{(C) } 4\qquad\textbf{(D) } 6\qquad\textbf{(E) } 8</math>
==Solution 1==
The factors of <math>42</math> are: <math>1, 2, 3, 6, 7, 14, 21, 42</math>. Multiply unit digits to get D) 6

Revision as of 00:46, 14 November 2024

Problem 8

Let $N$ be the product of all the positive integer divisors of $42$. What is the units digit of $N$?

$\textbf{(A) } 0\qquad\textbf{(B) } 2\qquad\textbf{(C) } 4\qquad\textbf{(D) } 6\qquad\textbf{(E) } 8$

Solution 1

The factors of $42$ are: $1, 2, 3, 6, 7, 14, 21, 42$. Multiply unit digits to get D) 6