Unit 1 Review Number Theory

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

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.

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.

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

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

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.

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

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 2 + 3 + 0 = 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

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

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

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

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

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!