Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Skills Handbook - Prime Numbers and Composite Numbers - Exercises - Page 786: 21

Answer

$3\times3\times3$
1528938305

Work Step by Step

The first step is to write 27 at the top of your factor tree. The next question is what 2 numbers multiply together to get 27. For this example, I used 3 and 9. So, 3 and 9 are written under the 27 as 2 different "branches." For each new number "branching" out from the previous number, you must determine if it is prime. 3 is prime because nothing multiplies to 3 but itself. Circle the number 3 to show its separation from the rest of the factor tree. 9, however, is not prime because 3 and 3 are another set of factors for 9 besides 9 itself. Now, 3 and 3 are both prime, so circle each number separately. Looking at all 3 circled numbers,$3\times3\times3$ would be the prime factorization for 27.
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.