From the set of whole numbers 2, 4, 5,7,15,16,17,19,20,21,23,27,29,30, write down the prime numbers and the composite numbers
The prime numbers are: 2, 5, 7, 17, 19, 23, 29.
The composite numbers are: 4, 15, 16, 20, 21, 27, 30.
Is it 100% correct?
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To determine which numbers are prime and which ones are composite from the given set, follow these steps:
1. Start by understanding the definitions of prime and composite numbers:
- Prime numbers are positive integers greater than 1 that have no positive divisors other than 1 and themselves.
- Composite numbers are positive integers greater than 1 that have at least one positive divisor other than 1 and themselves.
2. Review the given set: 2, 4, 5, 7, 15, 16, 17, 19, 20, 21, 23, 27, 29, 30.
3. Begin analyzing each number individually:
- The number 2 is a prime number because its only divisors are 1 and 2.
- The number 4 is a composite number because it can be divided evenly by 1, 2, and 4.
- The number 5 is a prime number because its only divisors are 1 and 5.
- The number 7 is a prime number because its only divisors are 1 and 7.
- The number 15 is a composite number because it can be divided evenly by 1, 3, 5, and 15.
- The number 16 is a composite number because it can be divided evenly by 1, 2, 4, 8, and 16.
- The number 17 is a prime number because its only divisors are 1 and 17.
- The number 19 is a prime number because its only divisors are 1 and 19.
- The number 20 is a composite number because it can be divided evenly by 1, 2, 4, 5, 10, and 20.
- The number 21 is a composite number because it can be divided evenly by 1, 3, 7, and 21.
- The number 23 is a prime number because its only divisors are 1 and 23.
- The number 27 is a composite number because it can be divided evenly by 1, 3, 9, and 27.
- The number 29 is a prime number because its only divisors are 1 and 29.
- The number 30 is a composite number because it can be divided evenly by 1, 2, 3, 5, 6, 10, 15, and 30.
4. Based on the analysis, the prime numbers from the given set are: 2, 5, 7, 17, 19, 23, 29.
5. The composite numbers from the given set are: 4, 15, 16, 20, 21, 27, 30.