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MATH / In the prime factorization of 109!, what is the exponent of 3? (Reminder: The number n! is the product of the integers from 1 to n. For example, 5!=5⋅4⋅3⋅2⋅1=120.)

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problem

In the prime factorization of 109!109!, what is the exponent of 33? (Reminder: The number n!n! is the product of the integers from 1 to nn. For example, 5!=5⋅4⋅3⋅2⋅1=1205!=5\cdot 4\cdot3\cdot2\cdot 1= 120.)
Plain-text mathematical notation (without MathML)
In the prime factorization of 109!, what is the exponent of 3?  (Reminder: The number n! is the product of the integers from 1 to n.  For example, 5!=5⋅4⋅3⋅2⋅1=120.)
Original LaTeX notation
In the prime factorization of $109!$, what is the exponent of $3$?  (Reminder: The number $n!$ is the product of the integers from 1 to $n$.  For example, $5!=5\cdot 4\cdot3\cdot2\cdot 1= 120$.)

level

Level 5

type

Prealgebra

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Source and history

task_id
4f00b519-ab68-5c5d-bbc8-0f4ae5a62e89
task_key
prealgebra--test--4f00b519-ab68-5c5d-bbc8-0f4ae5a62e89
task_revision_id
1
config / split
prealgebra / test

Official source

initial import