Which of the following numbers is not a prime number?
- A731
- B227
- C347
- D461
Solution & Step-by-step Explanation
Let's test the given options to see if they have any factors other than 1 and themselves.For 731:We test divisibility by prime numbers up to .Primes to check: 2, 3, 5, 7, 11, 13, 17, 19, 23.
Since 731 is divisible by 17 (), it is a composite number and not a prime number.For 227:. Checking primes up to 13 (2, 3, 5, 7, 11, 13) shows none divide 227. It is a prime number.For 347:. Checking primes up to 17 (2, 3, 5, 7, 11, 13, 17) shows none divide 347. It is a prime number.For 461:. Checking primes up to 19 (2, 3, 5, 7, 11, 13, 17, 19) shows none divide 461. It is a prime number.Therefore, 731 is not a prime number.
Since 731 is divisible by 17 (), it is a composite number and not a prime number.For 227:. Checking primes up to 13 (2, 3, 5, 7, 11, 13) shows none divide 227. It is a prime number.For 347:. Checking primes up to 17 (2, 3, 5, 7, 11, 13, 17) shows none divide 347. It is a prime number.For 461:. Checking primes up to 19 (2, 3, 5, 7, 11, 13, 17, 19) shows none divide 461. It is a prime number.Therefore, 731 is not a prime number.