classify
the following into prime numbers and composite number
27, 29, 13, 18, 15, 47, 43, 49,26,31
Answers
Answer:
Prime numbers : 29, 13, 47, 43, 31
Composite numbers : 27, 18, 15, 49, 26
Given:
A set of numbers 27, 29, 13, 18, 15, 47, 43, 49, 26, and 31.
To Find:
Whether the numbers are prime or composite.
Solution:
1. A number is said to be a prime if it has only two factors which is the number 1 and the number itself.
For example, the number 7 is said to be prime as it has only two factors 1 and 7.
2. A number is said to be composite if it has more than two factors.
For example, the number 9 is said to be composite as it has more than two factors: 1, 3, 9.
3. The given set of numbers are 27, 29, 13, 18, 15, 47, 43, 49,26,31,
=> 27 has factors 1, 3, 9, and 27. Hence it is a composite number.
=> 29 has factors 1 and 29. Hence it is a prime number.
=> 13 has factors 1 and 13. Hence it is a prime number.
=> 18 has factors 1, 2, 3, 6, 9, and 18. Hence it is a composite number.
=> 15 has factors 1, 3, and 5. Hence it is a composite number.
=> 47 has factors 1 and 47. Hence it is a prime number.
=> 43 has factors 1 and 43. Hence it is a prime number.
=> 26 has factors 1, 2, 13, and 26. Hence it is a composite number.
=> 31 has factors 1 and 31. Hence it is a prime number.
Hence, the given numbers are classified as prime or composite.