Question

there are 6 prime numbers and 6 composite numbers below.
label each number as prime or composite. if its composite, write two of its factor pairs.
1 17
prime
2 64
composite
8 and 8
2 and 32
3 40
4 24
5 63
6 23
7 13
prime
8 21
9
10 29
11 54
12 47

Explanation:

Step1: Identify prime/composite for 17

A prime number has only 1 and itself as factors. 17 has no other factors besides 1 and 17, so it is prime.

Step2: Identify prime/composite for 64

A composite number has more than two factors. 64 has factor pairs:
$1 \times 64$, $2 \times 32$

Step3: Identify prime/composite for 40

40 has more than two factors. Its factor pairs:
$2 \times 20$, $4 \times 10$

Step4: Identify prime/composite for 24

24 has more than two factors. Its factor pairs:
$2 \times 12$, $3 \times 8$

Step5: Identify prime/composite for 63

63 has more than two factors. Its factor pairs:
$7 \times 9$, $3 \times 21$

Step6: Identify prime/composite for 23

23 has only 1 and itself as factors, so it is prime.

Step7: Identify prime/composite for 13

13 has only 1 and itself as factors, so it is prime.

Step8: Identify prime/composite for 21

21 has more than two factors. Its factor pairs:
$3 \times 7$, $1 \times 21$

Step9: (Note: No number listed for 9, skip)

Step10: Identify prime/composite for 29

29 has only 1 and itself as factors, so it is prime.

Step11: Identify prime/composite for 54

54 has more than two factors. Its factor pairs:
$2 \times 27$, $3 \times 18$

Step12: Identify prime/composite for 47

47 has only 1 and itself as factors, so it is prime.

Answer:

1. 17: Prime
2. 64: Composite; Factor pairs: $(2, 32)$, $(8, 8)$
3. 40: Composite; Factor pairs: $(2, 20)$, $(4, 10)$
4. 24: Composite; Factor pairs: $(2, 12)$, $(3, 8)$
5. 63: Composite; Factor pairs: $(3, 21)$, $(7, 9)$
6. 23: Prime
7. 13: Prime
8. 21: Composite; Factor pairs: $(3, 7)$, $(1, 21)$
9. (No number provided)
10. 29: Prime
11. 54: Composite; Factor pairs: $(2, 27)$, $(3, 18)$
12. 47: Prime