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



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.
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