Difference between revisions of "2024 AMC 10B Problems/Problem 8"

Revision as of 00:46, 14 November 2024

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

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

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

@@ Line 1: / Line 1: @@
+==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