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Prime Numbers and Common Factors

Learning tasks
            
Lesson
Text book
Exercises Correction
A) Prime Number
    1) Analyzing Prime Number PropertiesEx 1 Ex 2 Ex 3 Ex 4 Ex 5
    2) Testing Primality and Bounding Prime SequencesEx 6 Ex 7 Ex 8 Ex 9
    3) Solving Integer Equations through FactorizationEx 10 Ex 11 Ex 12 Ex 13
    4) Reasoning with Modular Arithmetic on PrimesEx 14 Ex 15
B) Prime Factorization
    5) Analyzing Prime Factorization PropertiesEx 16 Ex 17 Ex 18 Ex 19 Ex 20
    6) Decomposing into Prime FactorsEx 21 Ex 22 Ex 23 Ex 24
    7) Counting and Identifying DivisorsEx 25 Ex 26 Ex 27 Ex 28 Ex 29 Ex 30
    8) Solving Arithmetic Problems through FactorizationEx 31 Ex 32 Ex 33 Ex 34
C) Greatest Common Divisor (GCD)
    9) Analyzing GCD PropertiesEx 35 Ex 36 Ex 37 Ex 38 Ex 39 Ex 40
    10) Expressing Fractions in Simplest FormEx 41 Ex 42 Ex 43 Ex 44
    11) Computing GCD using the Euclidean AlgorithmEx 45 Ex 46 Ex 47
    12) Modeling with GCDEx 48 Ex 49 Ex 50
    13) Calculating GCD using Prime FactorizationEx 51 Ex 52 Ex 53
    14) Solving GCD Equations and SystemsEx 54 Ex 55 Ex 56
    15) Identifying Integers under GCD ConstraintsEx 57 Ex 58
    16) Proving GCD PropertiesEx 59 Ex 60
D) Least Common Multiple (LCM)
    17) Analyzing LCM PropertiesEx 61 Ex 62 Ex 63 Ex 64 Ex 65 Ex 66
    18) Calculating LCM using Prime FactorizationEx 67 Ex 68 Ex 69
    19) Modeling with GCD and LCMEx 70 Ex 71 Ex 72
    20) Solving Equations and Systems using GCD and LCMEx 73 Ex 74 Ex 75 Ex 76