Which of the following numbers is a prime number?a)27b)29c)39d)49Corre...
Understanding Prime Numbers
A prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself. This means a prime number can only be divided evenly by 1 and the number itself.
Analyzing Each Option
- Option a: 27
- Divisors: 1, 3, 9, 27
- Not prime (divisible by 3 and 9).
- Option b: 29
- Divisors: 1, 29
- Prime number (only divisible by 1 and 29).
- Option c: 39
- Divisors: 1, 3, 13, 39
- Not prime (divisible by 3 and 13).
- Option d: 49
- Divisors: 1, 7, 49
- Not prime (divisible by 7).
Conclusion
Among the given options, only 29 meets the criteria of a prime number. It has no divisors other than 1 and itself, confirming that option 'B' is indeed the correct answer. Understanding the properties of prime numbers helps in identifying them accurately.
Which of the following numbers is a prime number?a)27b)29c)39d)49Corre...
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. Checking the options: 27 is divisible by 3, 39 is divisible by 3 and 13, 49 is divisible by 7, while 29 has only 1 and 29 as divisors. Therefore, 29 is the prime number.