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Number Theory Review: Even and Odd Numbers, Factors, Exponential Notation, Square Numbers, Prime Factorization

This review covers topics such as even and odd numbers, factors, exponential notation, square numbers, and prime factorization. Practice skills like identifying even and odd numbers, finding factors, creating arrays, and working with exponents.

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Number Theory Review: Even and Odd Numbers, Factors, Exponential Notation, Square Numbers, Prime Factorization

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  1. Unit 1 ReviewNumber Theory Created by: Mrs. Jaeger Bridge Valley Elementary

  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. 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. 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. 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. Secure Skill Write if the following numbers are prime or composite. prime Factors: 1, 2 • 2 ______________________________________ • 4 _______________________________________ • 17 ______________________________________ • 24 ______________________________________ 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. Complete the Divisibility Table below. Use your “tests” to help you determine which numbers are divisible by the give number. yes yes no no Ends in a 0 Even number 2 + 3 + 0 = 5 5 divided by 3 = 1.666 *sum has a remainder It is NOT divisible by both 2 and 3

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

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

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

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

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