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MATH / 97 is the largest prime less than 100. What is the largest prime factor of 97! (97 factorial)? (Reminder: The number n! is the product of the integers from 1 to n. For example, …

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problem

9797 is the largest prime less than 100100. What is the largest prime factor of 97!97! (97 factorial)? (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)
97 is the largest prime less than 100. What is the largest prime factor of 97! (97 factorial)?  (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
$97$ is the largest prime less than $100$. What is the largest prime factor of $97!$ (97 factorial)?  (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 3

type

Prealgebra

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Source and history

task_id
25e478e3-cdd4-595c-811e-8c8c4fece366
task_key
prealgebra--test--25e478e3-cdd4-595c-811e-8c8c4fece366
task_revision_id
1
config / split
prealgebra / test

Official source

initial import