Harvard entrance exam question | Can you solve this factorial problem?

[@tonyennis1787]

Very nice

[@MathBeast.channel-l9i]

Many Thanks Boss 🤗

[@unecol]

Great! Thanks!🙏🙏🙏

[@MathBeast.channel-l9i]

Thank you too! ☺️

[@MathBeast.channel-l9i]

Welcome 🙂

[@monroeclewis1973]

Fun with arithmetic! The real math nerd type question is generally speaking, when will a given factorial be the product of two others?

[@wuchinren]

I wonder if it is so difficult.
x!
=6!*7!
=720*7!
=(90*8)*7!
=90*(8*7!)
=90*8!
=(10*9)*8!
=10*9*8!
=10!
so x=10

[@MathBeast.channel-l9i]

It's easy 😜
You are right.👍

[@petervisor]

That was beautiful!
I started down a dead end by saying x!=7!*8! then x!=7*(6!)^2

[@MathBeast.channel-l9i]

Thanks for sharing your precious feedback 🙂👍

[@LadukeshoreBhopa-jt7gu]

Kindly stop this type of solution.
Is it Mathematics?

[@tonyennis1787]

How would you solve this?