Write 420 as a product of its prime factors.

Sure, here is how you can write 420 as a product of its prime factors:

1. First, find the smallest prime number that can divide 420. The smallest prime number is 2. 420 divided by 2 is 210.

2. Continue with the number 210. It can also be divided by 2. 210 divided by 2 is 105.

3. The number 105 cannot be divided by 2, so we move to the next prime number, which is 3. 105 divided by 3 is 35.

4. The number 35 cannot be divided by 3, so we move to the next prime number, which is 5. 35 divided by 5 is 7.

5. Now we are left with 7, which is a prime number itself.

So, 420 can be written as a product of its prime factors as 2 * 2 * 3 * 5 * 7 or 2^2 * 3 * 5 * 7.