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read page 95 for help on this. decide if each number is prime (only mul…

Question

read page 95 for help on this. decide if each number is prime (only multiple is 1 and itself) or composite (has more then the two multiples)
4 choose
7 choose
9 choose
27 choose
33 choose
11 choose
3 choose
43 choose
53 choose
12 choose

Explanation:

Step1: Define prime/composite

A prime number has only 1 and itself as factors; a composite number has more than two factors.

Step2: Evaluate 4

Factors: $1,2,4$ → composite

Step3: Evaluate 7

Factors: $1,7$ → prime

Step4: Evaluate 9

Factors: $1,3,9$ → composite

Step5: Evaluate 27

Factors: $1,3,9,27$ → composite

Step6: Evaluate 33

Factors: $1,3,11,33$ → composite

Step7: Evaluate 11

Factors: $1,11$ → prime

Step8: Evaluate 3

Factors: $1,3$ → prime

Step9: Evaluate 43

Factors: $1,43$ → prime

Step10: Evaluate 53

Factors: $1,53$ → prime

Step11: Evaluate 12

Factors: $1,2,3,4,6,12$ → composite

Answer:

4: Composite
7: Prime
9: Composite
27: Composite
33: Composite
11: Prime
3: Prime
43: Prime
53: Prime
12: Composite