Factors are integers that multiply to create a product.
3 x 4 = 12
3 and 4 are factors of 12.
Divisibility refers to a number capable of being divided by another number without a remainder: 24 is divisible by 4.
The number of factors of a given number corresponds to the different ways that number can be expressed as a product of two integers, which represents the possible dimensions of rectangular arrays. For instance, if a number has six factors, it can be arranged into rectangular arrays of dimensions that multiply to that number, such as 1x6, 2x3, and 3x2. Each unique pair of factors gives a distinct arrangement, illustrating the relationship between factors and rectangular arrays. Thus, the total number of factors directly determines the number of unique rectangular configurations possible for that number.
Oh, dude, there are like a bazillion different arrays you can make with 18. Okay, maybe not a bazillion, but definitely a lot. You can have arrays like [1, 2, 3, 4, 5, 6], [18], [9, 9], or even [2, 9, 7]. The possibilities are endless... well, not really, but you get the point.
The last draw has no bearing on the next draw. Each draw is random.
12, 14, and 20 have an even number of factors. 4, 9, and 16 also have an even number of factors, but since they're perfect squares, two of the factors are the same number in each case, so each appears to have an odd number of factors.
Just one. Or, two if you count (1, p) and (p, 1) as being different.