Determine if the following numbers are prime or composite: 40, 87, 83, 2, 46, 80, 89, 53, 50, 76, 82, and 94. Show the prime factorization for composite numbers.

Step 2: Continue with numbers 40, 87, and 83. 2. 40 40 = 2 × 20 = 2^2 × 10 = 2^3 × 5 This is a composite number. 40 = 2^3 × 5 (Composite) 3. 87 87 = 3 × 29 This is a composite number. 87 = 3 × 29 (Composite) 4. 83 83 is only divisible by 1 and itself. This is a prime number. 83 (Prime) Step 3: Continue with numbers 2, 46, and 80. 5. 2 2 is only divisible by 1 and itself. This is a prime number. 2 (Prime) 6. 46 46 = 2 × 23 This is a composite number. 46 = 2 × 23 (Composite) 7. 80 80 = 2 × 40 = 2^2 × 20 = 2^3 × 10 = 2^4 × 5 This is a composite number. 80 = 2^4 × 5 (Composite) Step 4: Continue with numbers 89, 53, and 50. 8. 89 89 is only divisible by 1 and itself. This is a prime number. 89 (Prime) 9. 53 53 is only divisible by 1 and itself. This is a prime number. 53 (Prime) 10. 50 50 = 2 × 25 = 2 × 5^2 This is a composite number. 50 = 2 × 5^2 (Composite) Step 5: Continue with numbers 76, 82, and 94. 11. 76 76 = 2 × 38 = 2^2 × 19 This is a composite number. 76 = 2^2 × 19 (Composite) 12. 82 82 = 2 × 41 This is a composite number. 82 = 2 × 41 (Composite) 13. 94 94 = 2 × 47 This is a composite number. 94 = 2 × 47 (Composite) Step 6: Continue with numbers 67, 32, and 47. 14. 67 67 is only divisible by 1 and itself. This is a prime number. 67 (Prime) 15. 32 32 = 2 × 16 = 2^2 × 8 = 2^3 × 4 = 2^4 × 2 = 2^5 This is a composite number. 32 = 2^5 (Composite) 16. 47 47 is only divisible by 1 and itself. This is a prime number. 47 (Prime) Step 7: Continue with numbers 3 and 9. 17. 3 3 is only divisible by 1 and itself. This is a prime number. 3 (Prime) 18. 9 9 = 3 × 3 = 3^2 This is a composite number. 9 =