name: _________________________

class: ___________

REVIEW PROBLEMS

    directions:
        Complete the problem given in each of the boxes below.
        Show all work under the space provided for the answer.

    example:             Find the LCM of 8 and 10:

                                             _____40____ 
                                                 8x5=40
                                                10x4=40
    problems:


 Find the LCM of 5 and 15:

_________









Find the GCF of 12 and 18:

_________









Find the LCM of 5 and 7:

_________









Find the GCF of 13 and 19:

_________









Find the GCF of 6 and 9:

_________









Find the GCF of 13 and 23:

_________









Find the LCM of 4 and 9:

_________









Find the LCM of 6 and 9:

_________









List the proper factors of 24:

_________









What is the fifth prime?:

_________









What is the eighth composite?:

_________









What is the only even prime?:

_________










FACTOR TREES

    directions:
        Use the space below to construct a complete factor tree
        for each of the following numbers, showing their prime factorization.

    examples (either is correct):
             12                          12
                             
         6   x   2                  3    x   4
                            
   
2   x   3   x   2       3    x    2    x   2

    problems:

            1. 24
            2. 36
            3. 54
            4. 155
            5. 120
            6. 128

DIVISION BY PRIMES (or UPSIDE-DOWN DIVISION)

    directions:
        Use the space below to show the division by primes method
        for each of the following numbers, showing their prime factorization.

    example:

        For 1092, you may start with 2 (look at this example from the bottom up)

            
    problems:

            7. 144
            8.  49
            9.  64
           10. 81
           11. 25
           12. 92










EXPONENTS


    directions:
        Copy your answers from the last two pages below,
        and then rewrite your prime factorization using exponents.

    examples:

        1.) 12 = 2 x 2 x 3 =
22 x 3

        2.) 1092 = 2 x 2 x 3 x 7 x 13 =
22 x 3 x 7 x 13

    problems:

            1. ________________________________________________________

            2. ________________________________________________________

            3. ________________________________________________________

            4. ________________________________________________________

            5. ________________________________________________________

            6. ________________________________________________________

            7. ________________________________________________________

            8. ________________________________________________________

            9. ________________________________________________________

            10. ________________________________________________________

            11. ________________________________________________________

            12. ________________________________________________________

            13. ________________________________________________________

            14. ________________________________________________________

            15. ________________________________________________________

            16. ________________________________________________________

            17. ________________________________________________________

            18. ________________________________________________________