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MATH / If x³ is a positive factor of 10!, how many possible integer values of x are there? (Reminder: For a positive integer n, the expression n! stands for the product of the integers fr…

Problem

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problem

If x3x^3 is a positive factor of 10!,10!, how many possible integer values of xx are there? (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)
If x³ is a positive factor of 10!, how many possible integer values of x are there?  (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
If $x^3$ is a positive factor of $10!,$ how many possible integer values of $x$ are there?  (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 5

type

Number Theory

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Source and history

task_id
4d0073a3-d672-5c0d-bbc7-8b8d7a39c52b
task_key
number~5ftheory--test--4d0073a3-d672-5c0d-bbc7-8b8d7a39c52b
task_revision_id
1
config / split
number_theory / test

Official source

initial import