Question

there are 6 prime numbers and 6 composite numbers below. label each number as prime or composite. if it’s 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 8 21 9 37

Explanation:

Step1: Define prime/composite

A prime number has only 1 and itself as factors. A composite number has more than two factors, so we find two factor pairs.

Step2: Evaluate number 17

17 only divides by 1 and 17.

Step3: Evaluate number 64

Find factor pairs: $2 \times 32 = 64$, $8 \times 8 = 64$.

Step4: Evaluate number 40

Find factor pairs: $2 \times 20 = 40$, $4 \times 10 = 40$.

Step5: Evaluate number 24

Find factor pairs: $2 \times 12 = 24$, $3 \times 8 = 24$.

Step6: Evaluate number 63

Find factor pairs: $7 \times 9 = 63$, $3 \times 21 = 63$.

Step7: Evaluate number 23

23 only divides by 1 and 23.

Step8: Evaluate number 13

13 only divides by 1 and 13.

Step9: Evaluate number 21

Find factor pairs: $3 \times 7 = 21$, $1 \times 21 = 21$.

Step10: Evaluate number 37

37 only divides by 1 and 37.

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. 37: prime