Question regarding divisibility- Pls. help

Hi,
Could someone please confirm if the following statement is true?

If there is one EVEN integer in a series of consecutive integers, the product of the series is divisible by 2. If there are two even integers, the product of the series is divisible by 4.

I am a little confused since I thought somewhere I also read, if there are two consecutive even integers it is divisible by 8. I am not sure which one is correct! Please help.

Thanks