Question

use the × button or type the * key on your keyboard. for exponents, use the (a^b) button or the ^ key on your keyboard. if a number is prime, enter the number itself. answer attempt 1 out of 2 (97 =) input box × (a^b) submit answer

Explanation:

Step1: Determine if 97 is prime

A prime number is a number greater than 1 that has no positive divisors other than 1 and itself. We check if 97 can be divided by any number between 2 and $\sqrt{97}$ (since if a number $n$ has a divisor greater than $\sqrt{n}$, the corresponding quotient would be less than $\sqrt{n}$). $\sqrt{97}\approx 9.85$. We check divisibility by 2, 3, 5, 7, 9. 97 is odd, so not divisible by 2. The sum of its digits (9 + 7 = 16) is not divisible by 3, so not divisible by 3. It doesn't end in 5 or 0, so not divisible by 5. 97 divided by 7 is about 13.857, not an integer. 97 divided by 9 is about 10.777, not an integer. So 97 is prime.

Step2: Enter the prime number

Since 97 is prime, we enter the number itself.

Answer:

97