The prime factors of 5005

Sure, here are the steps to find the prime factors of 5005:

1. Start by dividing the number by the smallest prime number, which is 2. In this case, 5005 is not divisible by 2, so we move to the next prime number, which is 3.

2. 5005 is not divisible by 3, so we move to the next prime number, which is 5. 5005 divided by 5 is 1001.

3. Now, we repeat the process with 1001. It's not divisible by 2 or 3, but it is divisible by 7. 1001 divided by 7 is 143.

4. Repeat the process with 143. It's not divisible by 2, 3, 5, 7, 11, or 13, but it is divisible by 11. 143 divided by 11 is 13.

5. Now we have 13, which is a prime number itself.

So, the prime factors of 5005 are 5, 7, 11, and 13.