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# help

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In the prime factorization of $24!$, what is the exponent of $3$? (Reminder: The number $n!$ is the product of the integers from 1 to $n$. For example, \$$$5!=5\cdot 4\cdot3\cdot2\cdot 1= 120.$$)

Apr 1, 2020

#1
+336
+1

24/3=8.

At first glance, the answer might seem like 8, but this is a wrong assumption.

This is because the numbers 9 and 18 hold two nines!

so we need to add two to 8 to have 10 as our answer.

Apr 1, 2020