Find the prime factorization of the number, and write it in exponent form.

8775

A) 3^3 × 5^2 × 13
B) 3^3 × 5^3 × 13
C) 3 × 5^4 × 13
D) 3^4 × 5 × 13

A would be a much better choice.

To find the prime factorization of a number, you need to find the prime numbers that can divide the number without leaving a remainder.

To find the prime factorization of 8775, you can start by dividing it by the smallest prime number, which is 2. However, 8775 is an odd number, so it is not divisible by 2.

Next, you can try dividing by the next prime number, which is 3. In this case, 8775 ÷ 3 = 2925. Again, try dividing 2925 by 3, which gives us 2925 ÷ 3 = 975. Continuing this process, we can divide 975 by 3 once more to get 975 ÷ 3 = 325.

Now, we try to divide 325 by the next prime number, which is 5. Dividing 325 by 5 gives 325 ÷ 5 = 65.

Now, let's see if we can divide 65 by any of the remaining prime numbers (7, 11, 13, 17, etc.). None of these prime numbers can divide 65 without leaving a remainder, so we move on to 65 as our new number.

Next, we try dividing 65 by 13, and we get 65 ÷ 13 = 5.

Finally, 5 is a prime number on its own.

Putting it all together, we found that 8775 can be expressed as the product of its prime factors: 3 × 3 × 3 × 5 × 5 × 13.

Writing it in exponent form, we have 3^3 × 5^2 × 13.

Therefore, the correct answer is A) 3^3 × 5^2 × 13.