A number that can only form one rectangular array would be one that has only two factors, which means it is a Prime number. The factor pairs show the different rectangular arrays that can be formed.
2 = 1 x 2
3 = 1 x 3
5 = 1 x 5
7 = 1 x 7
4 = 1 x 4 and 2 x 2, so it can form two.
6 = 1 x 6 and 2 x 3, so it can form two.
8 = 1 x 8 and 2 x 4, so it can form two.
9 = 1 x 9 and 3 x 3, so it can form two.
10 = 1 x 10 and 2 x 5, so it can form two.
An array diagram is a way of representing information in the form of a rectangular layout or in analogous shapes in higher dimensions: cuboids or hyper-cuboids.
You can certainly multiply and divide with the rectangular form, but it is somewhat easier in polar form. This is especially relevant if you want to extend to more complicated operations, such as higher powers or taking roots. As for the polar form, any method to add and subtract them directly would probably be quite complicated, and directly or indirectly involve many of the same calculations that are done in converting from polar to rectangular, and back. Try it! (That is, try to deduce the formulas for adding two complex numbers in polar form.)
Cuboid
The products are of the form n*(n+1) or n^2+n where n = 1, 2, 3, ...
The properties of an array or group or complex numbers form a system of real and imanginary numbers that are at a 90 degree angle to each other. Refer to the Related Link and notice that in both panes, the lines are at 90 degrees.
The numbers of rows and columns in a rectangular array form a factor pair for that number.
An array is a set of numbers that form some sort of regular arrangement. A linear array is a 1-dimensional array consisting of a row or a column of a set of numbers. A 2-dimensional array is a rectangular arrangement of numbers. And there are arrays with higher dimensions. The elements of an array need not be numbers: they could be variables, functions or expressions. In other words, it's a picture to describe a multiplication problem.
An arrangement of objects into rows and columns that form a rectangle. All rows and columns must be filled . Each row has the same number of objects and each column has the same number of objects. -Danielle German Grade 6
A rectangular umber is essentially a composite or non-prime number. If a number n is composite then it can be factorised as p*q. In that case, it can be represented as an array of p rows and q columns in a RECTANGULAR array.
An array diagram is a way of representing information in the form of a rectangular layout or in analogous shapes in higher dimensions: cuboids or hyper-cuboids.
Rectangular numbers are of the form n(n+1) for n = 1, 2, 3, 4, 5, 6, ... The first few rectangular numbers are: 2, 6, 12, 20, 30, 42, ...
Yes: int[] integerArray;
No, they are the only numbers that are NOT rectangular in shape. (I think you knew this and screwed up your question.) That is, all non-primes can be arranged into the form of a rectangle - e.g. 21 can be organized as a rectangle with dimensions of 3 x 7. But prime numbers cannot be organized as rectangles.
Every side (and the one opposite it) form a pair of rectangular bases.Every side (and the one opposite it) form a pair of rectangular bases.Every side (and the one opposite it) form a pair of rectangular bases.Every side (and the one opposite it) form a pair of rectangular bases.
You can certainly multiply and divide with the rectangular form, but it is somewhat easier in polar form. This is especially relevant if you want to extend to more complicated operations, such as higher powers or taking roots. As for the polar form, any method to add and subtract them directly would probably be quite complicated, and directly or indirectly involve many of the same calculations that are done in converting from polar to rectangular, and back. Try it! (That is, try to deduce the formulas for adding two complex numbers in polar form.)
Cuboid
You also need an equation for y in order to convert to rectangular form.