What is the magic number of a magic square?

A magic square is a grid containing the numbers 1, 2, 3, and so on, where each row, column and diagonal add up to the same number. An example is shown below, you will see that each row, column and diagonal add up to 34. This number 34 is the “magic number” of the magic square.

How do you do a 4×4 magic square?

Draw a 4×4 grid. From the target number that your guests named, subtract the number 34. In our example 87 is the target number: 87 minus 34 = 53. You then divide 53 by 4, to the nearest whole number.

What is the magic number in MagicMagic squares?

Magic Squares are square grids with a special arrangement of numbers in them. These numbers are special because every row, column and diagonal adds up to the same number. So for the example below, 15 is the magic number. Could you work this out just from knowing that the square uses the numbers from 1 to 9?

How many rows and columns does a magic square have?

So a square with 3 rows and columns is Order 3, and a square with 4 rows and columns is Order 4 and so on. If you’d like to find out more about how to make up your own magic squares, and the mathematics behind it all, you can go to some other pages on the website such as Magic Squares and Magic Squares II .

How do you solve an odd-number magic square?

To solve an odd-numbered magic square, start by using the formula n[(n^2+1)/2] to calculate the magic constant, or the number that all rows, columns, and diagonals must add up to. For example, in a 3 by 3 square where n=3, the magic constant is 15. Next, start your square by placing the number 1 in the center box of the top row.

How many magic 5×5 squares are there?

The computer found 1394 reductions of the number 65. You notice, that the middle number 13 = 65:5 appears most frequently. The numbers of the summands to smaller and bigger summands drop symmetrically to both sides. Fact: There are 275 305 224 magic 5×5 squares. (Scientific American 1/1976) You go through the numbers 1 to 25.