Find two numbers on the 30-board(the factor game) with the greatest product.

To find two numbers on the 30-board with the greatest product, we can follow these steps:

1. Draw a 30-board. A 30-board is a 6x5 grid with numbers from 1 to 30 written in each cell.

2. Start by finding the largest number on the board. Look at each cell and identify the largest number.

3. Once you have identified the largest number, look for another number on the board that can be multiplied with it to produce the greatest product. You can do this by inspecting the neighboring cells, cells in the same row, or cells in the same column.

4. Multiply the largest number with the chosen number to calculate the product.

5. Repeat steps 2 to 4 until you have thoroughly checked all the cells and found the greatest product.

It's important to note that the 30-board may have multiple pairs of numbers with the same greatest product, so it's possible to get different valid answers in this case.