Write 66 as the product of its prime factors.

Sure, here is how you can write 66 as the product of its prime factors:

1. First, you need to find the prime numbers that can divide 66. The prime numbers less than 66 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, and 61.

2. Start with the smallest prime number, which is 2. 66 divided by 2 equals 33, so 2 is a factor of 66.

3. Now, take the quotient from the previous step, which is 33, and try to divide it by 2. It doesn't divide evenly, so move on to the next prime number, which is 3. 33 divided by 3 equals 11, so 3 is a factor of 33.

4. Take the quotient from the previous step, which is 11, and try to divide it by 3. It doesn't divide evenly, so move on to the next prime number, which is 5. 11 doesn't divide evenly by 5, so move on to the next prime number, which is 7. Continue this process until you find a prime number that divides the quotient evenly. In this case, 11 is a prime number itself, so you can stop here.

5. Therefore, 66 can be written as the product of its prime factors as 2 * 3 * 11.