1 / 6

Factor Strings

Factor Strings. Using factors to find the prime factorization of a number. Step one. Here is a list of Prime Numbers; 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 Divide (/) the number you want to factor by the smallest prime number on the list; 2 , 3, 5, 7, 11, 13, 17, 19, 23, 29 66 66 / 2 = 33.

hachi
Download Presentation

Factor Strings

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Factor Strings Using factors to find the prime factorization of a number

  2. Step one • Here is a list of Prime Numbers; • 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 • Divide (/) the number you want to factor by the smallest prime number on the list; • 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 66 66 / 2 = 33

  3. Step 2 • Repeat the process with the smallest prime number possible • Note, 33 is not evenly divisible by 2. So, try the next smallest number – 3 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 66 66 / 2 = 33 / 3 = 11

  4. Step 3 • Notice that our new answer (quotient) is a prime number; 11 • Once a prime number is our final quotient, we are done dividing. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 66 66 / 2 = 33 / 3 = 11

  5. Step 4 • Write your number string; 66 66 / 2 = 33 / 3 = 11 • 2 * 3 * 11 • Notice, this string is a list of the prime numbers, in order, that are multiplied (*)to get our original number; 2*3*11 = 66

  6. Another Example 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 104 104 / 2 = 52 / 2 = 26 / 2 = 13 Factor String; 23 * 13 = 104 When there are more than one prime number that is the same (2 in this example), count them and use the exponent form 2 * 2 * 2 = 23

More Related