Question

Identify the correct statement about the given integers 17, 41, 49, 64:

a) All integers are prime numbers.
b) None of the integers are prime numbers.
c) 41 and 64 are prime numbers.
d) 49 is a prime number.

Answer 1

The correct statement is that none of the given integers are prime numbers.

Step-by-step explanation:

The correct statement about the given integers 17, 41, 49, and 64 is that none of the integers are prime numbers (option b).

A prime number is a number greater than 1 that has no positive divisors other than 1 and itself. In this case:

• 17 is a prime number because it is only divisible by 1 and 17.
• 41 is not a prime number because it is divisible by 1, 41, and also 1 and 41 itself.
• 49 is not a prime number because it is divisible by 1, 7, and also 1 and 49 itself.
• 64 is not a prime number because it is divisible by 1, 2, 4, 8, 16, 32, and also 1 and 64 itself.

Therefore, none of the integers are prime numbers.