#### Answer

$10!=7⋅5^2⋅3^3⋅2^7$

#### Work Step by Step

To find the prime factorization of 10!, it helps to first write out what that means.
10!=10⋅9⋅8⋅7⋅6⋅5⋅4⋅3⋅2⋅1. Then we begin to rearrange these numbers from the smallest factor first.
$10⋅9⋅8⋅7⋅6⋅5⋅4⋅3⋅2⋅1
=5⋅2⋅3^2⋅2^3⋅7⋅2⋅3⋅5⋅2^2⋅3⋅2⋅1=7⋅5^2⋅3^3⋅2^7$