benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / N² is a divisor of 8!. What is the greatest possible integer value of N? (Reminder: For a positive integer n, the expression n! stands for the product of the integers from 1 up to …

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

N2N^2 is a divisor of 8!8!. What is the greatest possible integer value of NN? (Reminder: For a positive integer nn, the expression n!n! stands for the product of the integers from 1 up to (and including) nn.)
Plain-text mathematical notation (without MathML)
N² is a divisor of 8!. What is the greatest possible integer value of N?  (Reminder: For a positive integer n, the expression n! stands for the product of the integers from 1 up to (and including) n.)
Original LaTeX notation
$N^2$ is a divisor of $8!$. What is the greatest possible integer value of $N$?  (Reminder: For a positive integer $n$, the expression $n!$ stands for the product of the integers from 1 up to (and including) $n$.)

level

Level 4

type

Number Theory

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
f8003b2d-c12a-5368-a247-27b1d259ee2a
task_key
number~5ftheory--test--f8003b2d-c12a-5368-a247-27b1d259ee2a
task_revision_id
1
config / split
number_theory / test

Official source

initial import