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

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==Problem 8==
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==Problem==
 
Let <math>N</math> be the product of all the positive integer divisors of <math>42</math>. What is the units digit
 
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>?
 
of <math>N</math>?
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==Solution 1==
 
==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
 
The factors of <math>42</math> are: <math>1, 2, 3, 6, 7, 14, 21, 42</math>. Multiply unit digits to get D) 6
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==See also==
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{{AMC10 box|year=2024|ab=B|num-b=7|num-a=9}}
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{{MAA Notice}}

Revision as of 00:46, 14 November 2024

Problem

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

See also

2024 AMC 10B (ProblemsAnswer KeyResources)
Preceded by
Problem 7
Followed by
Problem 9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AMC 10 Problems and Solutions

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