Questions: 1. 7 prime composite 2. 10 12.510 prime composite 3. 3 prime composite 4. 16 1,4,16 prime composite 5. 27 prime composite 6. 12 prime composite 7. 25 prime composite 8. 31 prime composite 9. 20 prime composite 10. 23 prime composite 11. 2 prime composite 12. 40 prime composite 13. 47 prime composite 14. 63 prime composite

1. 7
prime
composite
2. 10 12.510
prime
composite
3. 3
prime
composite
4. 16 1,4,16
prime
composite
5. 27 prime composite
6. 12 prime composite
7. 25 prime composite
8. 31 prime composite
9. 20 prime
composite
10. 23 prime
composite
11. 2 prime
composite
12. 40 prime
composite
13. 47 prime
composite
14. 63 prime
composite

Transcript text: 1. 7 $\qquad$ prime composite 2. 10 $\qquad$ 12.510 prime composite 3. 3 $\qquad$ prime composite 4. 16 $\qquad$ $1,4,16$ prime composite 5. 27 $\qquad$ prime composite 6. 12 $\qquad$ prime composite 7. 25 $\qquad$ prime composite 8. 31 $\qquad$ prime composite 9. 20 $\qquad$ prime composite 10. 23 $\qquad$ prime composite 11. 2 $\qquad$ prime composite 12. 40 $\qquad$ prime composite 13. 47 . $\qquad$ prime composite 14. 63 $\qquad$ prime composite

Solution

Solution Steps

Step 1: Factor Pairs of 7

To find the factor pairs of $ 7 $, we check for divisors from $ 1 $ to $ \sqrt{7} $. The only factor pair is $ (1, 7) $. Since $ 7 $ has exactly two distinct positive divisors, it is classified as a prime number.

Step 2: Factor Pairs of 10

For $ 10 $, we check for divisors from $ 1 $ to $ \sqrt{10} $. The factor pairs are $ (1, 10) $ and $ (2, 5) $. Since $ 10 $ has more than two distinct positive divisors, it is classified as a composite number.

Step 3: Factor Pairs of 3

To find the factor pairs of $ 3 $, we check for divisors from $ 1 $ to $ \sqrt{3} $. The only factor pair is $ (1, 3) $. Since $ 3 $ has exactly two distinct positive divisors, it is classified as a prime number.