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Mathematics Activity :
Composite Numbers and Prime Numbers
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1. How many prime numbers are there between 1 and 10?
4
There are 4 prime numbers between 1 and 10. They are 2, 3, 5, and 7.
3. What is the sum of the prime numbers between 20 and 30?
3
The prime numbers between 20 and 30 are 23 and 29. Their sum is 52.
5. Which of the following is a composite number: 37, 47, 57, 67?
57
37, 47 and 67 are prime numbers. 57 is a composite number because it has more than two factors (1, 3, 19, 57).
7. Which is the prime number between 90 and 100?
97
97 is the only prime number between 90 and 100.
9. How many prime numbers are there between 50 and 100?
10
There are 10 prime numbers between 50 and 100. They are 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97.
11. How many pairs of prime numbers are there to express 18 as the sum of two prime numbers?
2
Two pairs of prime numbers exist: 5 + 13 = 18 and 7 + 11 = 18.
13. How many pairs of prime numbers are there to express 24 as the sum of two prime numbers?
3
Three pairs of prime numbers exist: 5 + 19 = 24, 7 + 17 = 24, 11 + 13 = 24.
15. What is the sum of the prime numbers coming immediately before and after 50?
100
The prime numbers immediately before and after 50 are 47 and 53. Their sum is 100.
17. What is the difference between the fifth and the second prime numbers coming after 7?
10
The fifth and second prime numbers after 7 are 23 and 13. Their difference is 10.
19. 11 is a prime factor of 187. What is the other prime factor?
17
Note that 11 X 17 = 187. The answer is obtained by dividing 187 by 11.
21. Two prime numbers whose difference is 2 are called twin prime numbers, e.g., 3 and 5. How many twin prime numbers are there upto 50?
5
The 5 twin prime numbers upto 50 are: 3 and 5; 5 and 7; 11 and 13; 17 and 19; 29 and 31; 41 and 43.
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