Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 4 - Section 4.3 - Primes and Greatest Common Divisors - Exercises - Page 272: 5



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. $10⋅9⋅8⋅7⋅6⋅5⋅4⋅3⋅2⋅1 =5⋅2⋅3^2⋅2^3⋅7⋅2⋅3⋅5⋅2^2⋅3⋅2⋅1=7⋅5^2⋅3^3⋅2^7$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.