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MATH / How many different primes appear in the prime factorization of 20! (20 factorial)? (Reminder: The number n! is the product of the integers from 1 to n. For example, …

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problem

How many different primes appear in the prime factorization of 20!20! (20 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)
How many different primes appear in the prime factorization of 20! (20 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
How many different primes appear in the prime factorization of $20!$ (20 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 4

type

Prealgebra

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Source and history

task_id
f9fca470-4cda-59ca-bbf1-46e614aa75c2
task_key
prealgebra--test--f9fca470-4cda-59ca-bbf1-46e614aa75c2
task_revision_id
1
config / split
prealgebra / test

Official source

initial import