Question

prime and composite numbers
name:
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

Explanation:

Step1: Classify 17 (prime check)

A prime number has only 1 and itself as factors. 17's only factors are 1 and 17, so it is prime.

Step2: Classify 64 (composite check)

A composite number has more than two factors. Factor pairs of 64: $1 \times 64$, $2 \times 32$, $4 \times 16$, $8 \times 8$. We pick two pairs: $(2, 32)$ and $(8, 8)$.

Step3: Classify 40 (composite check)

40 has multiple factors. Factor pairs of 40: $1 \times 40$, $2 \times 20$, $4 \times 10$, $5 \times 8$. We pick two pairs: $(2, 20)$ and $(5, 8)$.

Answer:

1. 17: prime
2. 64: composite; factor pairs: (2, 32), (8, 8)
3. 40: composite; factor pairs: (2, 20), (5, 8)