# iFactor: Prime Factorization Cubed!

After meeting with the 5th Math Specialist to collaborate and plan, I feel like we have a really good plan for next week’s 5th Math training. The intent was to provide technology tools for teachers that would not serve as “one hit wonders.” Rather, we wanted to provide teachers with a Bag of iTricks that could be used to support multiple mathematics skills… and other content areas. The iLesson below not only reduces paper waste (the original document was 9 pages) but provides a viable alternative to a pencil and paper task.

The original document included a direct teach piece on prime factorization, a Frayer model template for Prime Numbers, 4 recording sheets for factoring numbers in multiple ways, and a template for creating your own prime numbers matching card sort. Using a combination of the apps iPen Free app and Popplet Lite, I was able to reduce the packet to a page or two.

**Student Task 1: Frayer Model using Popplet Lite**

- Double tap on the screen to create a popple.
- Tap the “T” to add text and type “Prime Number”.
- Tap the gray circle connector to create another popple attached to the first one.
- Type “Example” in the second popple.
- Tap the icon of the pen to draw your example.
- Tap the Prime Number popple to create another popple attached to it.
- Type “Non-Example” in the third popple.
- Draw your non-example example.
- Tap the Prime Number popple to create another popple attached to it.
- Type “Definition” in the fourth popple and write your definition.
- Tap Export and Save the image as a jpeg.

The iLesson video (Student Task 1) below was created with the Reflections web app that allows screen mirroring of your iPad.

**Student Task 2: Prime Numbers Two Ways**

- On page 1: Import your Prime Number Frayer Model that was created in Popplet Lite.
- On page 2:
- Find the Prime Factorization of 80 in red.
- Find a second way to factor 80 in blue.
- Write the prime factorization of 80 using exponents in green.
- On page 3: Complete steps 1-3 for 30.
- On page 4: Complete steps 1-3 for 72.
- On page 5: Complete steps 1-3 for 120.
- On page 6: Find the value of 3 x 3 x 3 x 5.
- On page 7: Find the value of 3² x 5 x 7
- On page 8: Complete the Reflection using a combination of pen and text.
- How do you know when you have found a number’s prime factorization?
- Does every number have a prime factorization? Explain.
- Can a number have more than one prime factorization? Why?
- On page 9: Complete the Reflection using a combination of pen and text.
- Find all the numbers less than 50 that have at least one 2 and at least one 5 in their prime factorization.
- What do you notice about these numbers?
- On page 10-12: Solve the following problems:
- Find the prime factorization of 240.
- Carson and Beth are comparing their secret numbers. Carson’s number has a prime factorization with 2 numbers and Beth has a prime factorization with 3 numbers. Beth says this means her number is larger. Is Beth correct? Explain and give examples.
- What is the value of 3² x 5³ x 7.
- Email your book to your teacher (
*there is also an option to print if you have access to an airprinter)*.

**Student Task 3: Prime Number Matching Card Sort using Popplet Lite**

- Create 8-10 unconnected popples.
- Each popple should be a number, a factorization, or a prime factorization with exponents.
- Include some items that could have more than one match.
- Pass the Popplet to your partner and have him/her connect the popplets that match (remember some popples may be connected to more than one popple).
- If you have any remaining items, create two popples for each unused popple to illustrate prime factorization in two ways. (Change the frame color of the left-over popples).

**Other iLessons with Popplet & iPen:**

- Multiplication Stories (iPen)
- Inferencing iValentines (Popplet)
- More Vocabulary & Frayer Models (Popplet)
- Sequencing (Popplet)
- Character Map (Popplet)
- Geometry (Popplet)
- Other Math iLessons