1. Unit 1 Review Number Theory

2. Topics to Review Even and Odd Numbers Factors of a number
Prime and Composite Numbers
Exponential Notation
Square Numbers
Prime Factorization
Arrays
Divisibility
Factor Capture Game

3. Check your answers by clicking the mouse.
Secure Skill
On your scratch paper, write the numbers that are even from the list below.
2, 5, 15, 6, 12, 98, 101, 222,249
Check your answers by clicking the mouse.

4. Check your answers by clicking the mouse.
Secure Skill
On your scratch paper, write the numbers that are odd from the list below.
1, 6, 51, 787, 98, 561, 222, 249
Check your answers by clicking the mouse.

5. Secure Skill
Write all of the factors for the number 16. Check your notes if you need the definition for factor.
1, 2, 4, 8, 16

6. Secure Skill
Write all of the factors for the number 15. Check your notes if you need the definition for factor.
1, 3, 5, 15

7. Name a number between 1 and 100 that is divisible by 3 but NOT 2
Secure Skill
Name a number between 1 and 100 that is divisible by 3 but NOT 2
An ODD number, whose digits are divisible by 3.
Example: 93
93 =
9 + 3 = 12
12 divided by 3 = 4
93 is divisible by 3 but NOT by 2 because it is an odd number.

8. Write if the following numbers are prime or composite.
Secure Skill
Write if the following numbers are prime or composite.
2 ______________________________________
4 _______________________________________
17 ______________________________________
24 ______________________________________
prime
Factors: 1, 2
composite
Factors: 1, 2, 4
prime
Factors: 1, 17
composite
Factors: 1, 2, 3, 4, 6, 8, 12, 24
Remember:
Prime has only 2 factors – 1 and itself
Composite has more than 2 factors

9. It is NOT divisible by both 2 and 3
Complete the Divisibility Table below. Use your “tests” to help you determine which numbers are divisible by the give number.
Number
Divisible by 2
Divisible by 3
Divisible by 6
Divisible by 5
230
yes
Even number no
= 5
5 divided by 3 = 1.666
*sum has a remainder no
It is NOT divisible by both 2 and 3
yes
Ends in a 0

10. Secure Skill
Create 3 arrays for the number 10. Remember to label your array with a number model.

11. Working with exponents. Identify the missing number.
Developing Skill
Working with exponents. Identify the missing number.
62 = ____
22 = ____
52 = ____ 36
___2 = 64
___2 = 16
___2 = 81 8 4 4 25 9

12. Show using exponents: _____
Beginning Skill
Write the prime factorization for the number 16. Use a Factor Tree to help you. 16 4 2 16 8 4 2
2 * 2 * 2 * 2 = 16
Show using exponents: _____ 24

13. List the square numbers using the factors 1 – 10.
Secure Skill
List the square numbers using the factors 1 – 10. 1 64 4 81 9
100 16 25 36 49

14. Questions? Be sure to ask Mrs. Scherr in class.
Keep working hard! This can be challenging material. You will do GREAT if you continue to work at it!