Numbers with an ODD number of Factors

There certainly are numbers with an odd number of factors!!!
They are perfect squares: 4, 9, 16, 25, etc. Look what happens when we list the factors of perfect squares. 4: 1x4, 2x2 so the factors are 1, 2, and 4--that's 3 factors! 9: 1x9, 3x3, so the factors are 1, 3, and 9--that's three factors! 16: 1x16, 2x8, 4x4, so the factors are 1, 2, 4, 8, and 16 which is five factors! Eureka!!!--don't you just love this stuff??? (Don't worry--I gave you all points for your answers on the test since it was my fault that you had the wrong information.)

Test Your Math Skills

Now that you have complete MAT170, test your skills with Sample Questions from the State Praxis. Trust the conceptual knowledge you are developing to help you use logic to solve the problems. The Pre-Professional Skills Test in Math can be found at http://www.ets.org/Media/Tests/PRAXIS/pdf/0730.pdf.
Note that some of the problems focus on geometry, data analysis, and algebra concepts; which were not covered in MAT170. If you are interested in further developing your conceptual understanding of these concepts, you should consider signing up for MAT171.

MAT 170 Final Exam Review Fall 2006

1. (Ch.9 #6/7) Proportional reasoning-- create a drawing that helps you visualize the relationship and determine an amount prior to increase/decrease

2. (Ch. 8 & Ch.3 #1) Additive and multiplicative comparison--be able to explain and write problems that model these

3. (Ch.9) Proportional Reasoning--write a problem that models this

4. (Ch.7 #1) Subtraction write problems that model “take away” and “comparison”.

5. (Ch.6 #10) Use benchmark numbers to estimate fractional values

6. (Ch. 5 #2, 4, 5) Estimate operations with percents, decimals, and fractions

7. (Ch. 4 #1, 2) Long division--use and explain the scaffolding method, sometimes called the ‘Big Seven’

8. (Ch 4 ) Division modeled using ‘Fair Share’ or ‘Repeated Subtraction.’

9. (Ch.2 ) Working with Bases other than Ten—operations in other bases and converting to base ten or from base ten