It would have been nice to see the illustration.
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You'll need 2 to the power of 63 coins for the last square. This number is so large that there isn't enough room on the website. The total number of coins is (2 to the power of 64) -1, which is almost twice as many For a board of N squares you need (2 to the power N) - 1 coins. As an illustration, for a 2 x 2 (or 1 x 4) board you would need 1 + 2 + 4 + 8 coins, ie 15 which is (2 to the power 4) - 1.
In math, a common factor usually refers to a factor that two or more numbers have in common. But, if you mean the most frequently occurring factor, that would be different. Since 1 divides every number, it would be the most common (frequently occurring) factor.
You add the current number to the number in front of it to get the next number (2+2=4, 4+2=6)
2. 2 squared = 4, and 4-2 = 2
To find 2 less than twice a number, you would first multiply the number by 2 and then subtract 2 from the result. In mathematical terms, this can be represented as 2x - 2, where x is the number in question. For example, if the number is 5, then 2 less than twice the number would be 2(5) - 2 = 10 - 2 = 8.