Difference between revisions of "2024 AMC 10B Problems/Problem 8"
Line 1: | Line 1: | ||
− | ==Problem | + | ==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>? | ||
Line 7: | Line 7: | ||
==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 | ||
+ | |||
+ | ==See also== | ||
+ | {{AMC10 box|year=2024|ab=B|num-b=7|num-a=9}} | ||
+ | {{MAA Notice}} |
Revision as of 00:46, 14 November 2024
Problem
Let be the product of all the positive integer divisors of . What is the units digit of ?
Solution 1
The factors of are: . Multiply unit digits to get D) 6
See also
2024 AMC 10B (Problems • Answer Key • Resources) | ||
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 |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.