As I understand it, the number of factor pairs is equal to the number of rectangles.
One to one.
Here's something to think about: -- Every rectangle is a parallelogram. There are an infinite number of them. -- There are also an infinite number of more parallelograms that are not rectangles.
Squares are actually also rectangles so you could make 8 rectangles without touching any of the squares. However, if you could cut the squares, that would be a different problem....
There are an infinite number of rectangles with this perimeter. The "whole number" sides could be (5 x 1), (4 x 2) or (3 x 3), but (5½ x ½) or (3¼ x 2¾) etc would fit the description.
You could consider the cross as two intersecting rectangles. Calculate the area of both rectangles and the area of the intersection (overlap). Then area of cross = sum of the areas of the rectangles minus the area of the overlap.
Number of factor pairs = number of rectangles
There are an infinite number of rectangles for any given area, while there is only one square for any given area. The number of integer-value rectangles depends on the area and the number of integer factors of a whole-number area. Example: a rectangular area of 6 square inches could be enclosed by rectangles that were 1x6, 2x3, 3x2, and 6x1. Non-integer dimensions would include 1.5x4 and 1.2x5 inches.
One to one.
You could make 5 rectangles with 10 squares
Could be a number of things: A MLS for real estate for example.
Here's something to think about: -- Every rectangle is a parallelogram. There are an infinite number of them. -- There are also an infinite number of more parallelograms that are not rectangles.
every number has a limited amount of factors those you could chose any number and find another with that number of factors
A rectangular number sequence is the sequence of numbers of counters needed to construct a sequence of rectangles, where the dimensions of the sides of the rectangles are whole numbers and change in a regular way. The individual sequences representing the sides are usually arithmetic progressions, but could in principle be given by difference equations, geometric progressions, or functions of the dimensions of the sides of previous rectangles in the sequence.
Squares are actually also rectangles so you could make 8 rectangles without touching any of the squares. However, if you could cut the squares, that would be a different problem....
It is towards the bottom right in on of the yellow rectangles. It is kind of light. Do you know where the number 68 is? I could not find it anywhere.
There are an infinite number of rectangles with this perimeter. The "whole number" sides could be (5 x 1), (4 x 2) or (3 x 3), but (5½ x ½) or (3¼ x 2¾) etc would fit the description.
Just X two numbers together and if they make the number you want the factors of then the two numbers are factors of your number. You could also divide the number you want the factors from by another number and if it divides to a whole number then they are factors. Hope this helped;D